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{{About||the Ford concept car|Ford Nucleon|the fictional power source in the Transformers universe|Nucleon (Transformers)}}
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[[File:Nucleus drawing.svg|thumb|right|An [[atomic nucleus]] is a compact bundle of the two types of nucleons: [[Proton]]s (red) and [[neutron]]s (blue). In this picture, the protons and neutrons look like little balls stuck together, but an actual nucleus, as understood by modern [[nuclear physics]], does not look like this. An actual nucleus can only be accurately described using [[quantum mechanics]]. For example, in a real nucleus, each nucleon is in multiple locations at once, spread throughout the nucleus.]]
In [[chemistry]] and [[physics]], a '''nucleon''' is one of the particles that makes up the [[atomic nucleus]]. Each atomic nucleus consists of one or more nucleons, and each atom in turn consists of a cluster of nucleons surrounded by one or more electrons. There are two known kinds of nucleon: the [[neutron]] and the [[proton]]. The [[mass number]] of a given atomic isotope is identical to its number of nucleons. Thus the term nucleon number may be used in place of the more common terms mass number or atomic mass number.


Until the 1960s, nucleons were thought to be [[elementary particle]]s, each of which would not then have been made up of smaller parts. Now they are known to be [[composite particle]]s, made of three [[quark]]s bound together by the so-called [[strong interaction]]. The interaction between two or more nucleons is called [[internucleon interaction]]s or [[nuclear force]], which is also ultimately caused by the strong interaction. (Before the discovery of quarks, the term "strong interaction" referred to just internucleon interactions.)
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Nucleons sit at the boundary where [[particle physics]] and [[nuclear physics]] overlap. Particle physics, particularly [[quantum chromodynamics]], provides the fundamental equations that explain the properties of quarks and of the strong interaction. These equations explain quantitatively how quarks can bind together into protons and neutrons (and all the other [[hadron]]s). However, when multiple nucleons are assembled into an atomic nucleus ([[nuclide]]), these fundamental equations become too difficult to solve directly (see [[lattice QCD]]). Instead, nuclides are studied within [[nuclear physics]], which studies nucleons and their interactions by approximations and models, such as the [[nuclear shell model]]. These models can successfully explain nuclide properties, for example, whether or not a certain nuclide undergoes [[radioactive decay]].
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The proton and neutron are both [[baryon]]s and both [[fermion]]s. They are quite similar. One carries a non-zero net [[Electric charge|charge]] and the other carries a zero net charge; proton's [[mass]] is only 0.1% less than neutron's. Thus, they can be viewed as two states of the same nucleon. They together form the [[isospin]] doublet({{nowrap|'''I''' {{=}} {{frac|1|2}}}}). In isospin space, neutrons can be rotationally transformed into protons, and vice versa. These nucleons are acted equally by the strong interaction. This implies that strong interaction is invariant when doing [[rotation]] transformation in isospin space. According to the [[Noether theorem]], isospin is conserved with respect to the strong interaction.<ref name=Griffiths2008>{{citation| author=Griffiths, David J.|title=Introduction to Elementary Particles|edition=2nd revised| publisher=WILEY-VCH |year=2008|isbn= 978-3-527-40601-2}}</ref>{{rp|129-130}}
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{{main|Proton|Neutron}}


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  | header    = Nucleon [[quark]] composition
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  | width1    = 128
 
  | image1    = Quark structure proton.svg
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  | alt1      = Proton
 
  | caption1  = Proton ({{SubatomicParticle|proton}}): {{SubatomicParticle|Up quark}}{{SubatomicParticle|Up quark}}{{SubatomicParticle|Down quark}}
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  | width2    = 128
 
  | image2    = Quark structure neutron.svg
</ul>
  | alt2      = Neutron
  | caption2  = Neutron ({{SubatomicParticle|neutron}}): {{SubatomicParticle|Up quark}}{{SubatomicParticle|Down quark}}{{SubatomicParticle|Down quark}}
  | width3    = 128
  | image3    = Quark structure antiproton.svg
  | alt3      = Antiproton
  | caption3  = Antiproton ({{SubatomicParticle|antiproton}}): {{SubatomicParticle|Up antiquark}}{{SubatomicParticle|Up antiquark}}{{SubatomicParticle|Down antiquark}}
  | width4    = 128
  | image4    = Quark structure antineutron.svg
  | alt4      = Antineutron
  | caption4  = Antineutron ({{SubatomicParticle|antineutron}}): {{SubatomicParticle|Up antiquark}}{{SubatomicParticle|Down antiquark}}{{SubatomicParticle|Down antiquark}}
}}
Protons and neutrons are most important and best known for constituting atomic nuclei, but they can also be found on their own, not part of a larger nucleus. A proton on its own is the nucleus of the [[hydrogen-1]] atom (<sup>1</sup>H). A neutron on its own is unstable (see below), but they can be found in nuclear reactions (see [[neutron radiation]]) and are used in scientific analysis (see [[neutron scattering]]).


Both the proton and neutron are made of three quarks. The proton is made of two [[up quark]]s and one [[down quark]], while the neutron is one up quark and two down quarks. The quarks are held together by the [[strong interaction|strong force]]. It is also said that the quarks are held together by [[gluon]]s, but this is just a different way to say the same thing (gluons mediate the strong force).
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An up quark has [[electric charge]] +{{frac|2|3}}&nbsp;[[elementary charge|e]], and a down quark has charge −{{frac|1|3}}&nbsp;e, so the total electric charge of the proton and neutron are [[elementary charge|+e]] and 0, respectively. The word "neutron" comes from the fact that it is electrically "neutral".
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The mass of the proton and neutron is quite similar: The proton is {{val|1.6726|e=-27|ul=kg}} or {{val|938.27|ul=MeV/c2}}, while the neutron is {{val|1.6749|e=-27|ul=kg}} or {{val|939.57|ul=MeV/c2}}. The neutron is roughly 0.1% heavier. The similarity in mass can be explained roughly by the slight difference in mass of up quark and down quark composing the nucleons.  However, detailed explanation remains an unsolved problem in particle physics.<ref name=Griffiths2008/>{{rp|135-136}}
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The [[spin (physics)|spin]] of both protons and neutrons is {{frac|1|2}}. This means they are [[fermion]]s not [[boson]]s, and therefore, like electrons, they are subject to the [[Pauli exclusion principle]]. This is a very important fact in [[nuclear physics]]: Protons and neutrons in an atomic nucleus cannot all be in the same [[quantum state]], but instead they spread out into [[nuclear shell]]s analogous to [[electron shell]]s in chemistry. Another reason that the spin of the proton and neutron is important is because it is the source of [[nuclear spin]] in larger nuclei. Nuclear spin is best known for its crucial role in the [[NMR]]/[[MRI]] technique for chemistry and biochemistry analysis.
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The [[magnetic moment]] of a proton, denoted μ<sub>p</sub>, is {{val|2.79|u=[[nuclear magneton]]s (&mu;<sub>N</sub>)}}, while the magnetic moment of a neutron is μ<sub>n</sub> = {{val|-1.91|u=μ<sub>N</sub>}}. These parameters are also important in NMR/MRI.
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A neutron by itself is an unstable particle: It undergoes [[beta decay|{{SubatomicParticle|Beta-}} decay]] (a type of [[radioactive decay]]) by turning into a proton, electron, and [[electron antineutrino]], with a half-life around ten minutes. (See the [[Neutron]] article for further discussion of neutron decay.) A proton by itself is thought to be stable, or at least its lifetime is too long to measure. (This is an important issue in particle physics, see [[Proton decay]].)
 
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Inside a nucleus, on the other hand, both protons and neutrons can be stable or unstable, depending on the [[nuclide]]. Inside some nuclides, a neutron can turn into a proton (plus other particles) as described above; inside other nuclides the reverse can happen, where a proton turns into a neutron (plus other particles) through [[beta decay|{{SubatomicParticle|Beta+}} decay]] or [[electron capture]]; and inside still other nuclides, both protons and neutrons are stable and do not change form.
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{{main|Antineutron|Antiproton|Antimatter}}
 
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Both of the nucleons have corresponding [[antiparticle]]s: The [[antiproton]] and the [[antineutron]]. These antimatter particles have the same mass and opposite charge as the proton and neutron respectively, and they interact in the same way. (This is generally believed to be ''exactly'' true, due to [[CPT symmetry]]. If there is a difference, it is too small to measure in all experiments to date.) In particular, antinucleons can bind into an "antinucleus". So far, scientists have created [[antideuterium]]<ref>{{cite journal|author = Massam, T|year = 1965 |title = Experimental observation of antideuteron production |journal = Il Nuovo Cimento |volume = 39|pages = 10–14 |doi = 10.1007/BF02814251|last2 = Muller|first2 = Th.|last3 = Righini|first3 = B.|last4 = Schneegans|first4 = M.|last5 = Zichichi|first5 = A.|bibcode = 1965NCimS..39...10M }}</ref><ref>{{cite journal|author = Dorfan, D. E|date=June 1965|title = Observation of Antideuterons|journal = Phys. Rev. Lett.|volume = 14|issue = 24 |pages = 1003–1006| doi = 10.1103/PhysRevLett.14.1003|last2 = Eades|first2 = J.|last3 = Lederman|first3 = L. M.|last4 = Lee|first4 = W.|last5 = Ting|first5 = C. C.|bibcode=1965PhRvL..14.1003D}}</ref> and antihelium-3<ref>
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{{cite journal
|author=R. Arsenescu ''et al.''
|year=2003
|title=Antihelium-3 production in lead-lead collisions at 158 ''A'' GeV/''c''
|journal=[[New Journal of Physics]]
|volume=5 |page=1
|doi=10.1088/1367-2630/5/1/301
|bibcode = 2003NJPh....5....1A }}</ref> nuclei.


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===Nucleons===
 
{| class="wikitable sortable"  style="text-align:center; width:100%;"
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|+ Nucleons (''[[Isospin|I]] = {{frac|1|2}}; [[strangeness|S]] = [[charm (quantum number)|C]] = [[bottomness|B]] = 0'')
 
|-
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! Particle<br />name
 
! class="unsortable" | Symbol
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! class="unsortable" | Quark<br />content
 
! [[Rest mass]] ([[electron volt|MeV]]/[[speed of light|c]]<sup>2</sup>)
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! Rest Mass ([[atomic mass unit|u]])<sup>{{ref|nucleonmass|[a]}}</sup>
 
! ''[[Isospin|I]]<sub>3</sub>''
</ul>
! ''[[Total angular momentum|J]]''<sup>''[[Parity (physics)|P]]''</sup>
! ''[[Electric charge|Q]]'' ([[elementary charge|e]])
! [[Magnetic moment]]
! [[Mean lifetime]] ([[second|s]])
! class="unsortable" | Commonly decays to
|-
| style="text-align:left;"| [[proton]]<ref name=PDGProton group="PDG">[http://pdg.lbl.gov/2010/listings/rpp2010-list-p.pdf Particle listings – {{SubatomicParticle|Proton}}]</ref>
| {{SubatomicParticle|Proton}} / {{SubatomicParticle|Proton+}} / {{SubatomicParticle|Nucleon+}}
| {{SubatomicParticle|link=yes|Up quark}}{{SubatomicParticle|Up quark}}{{SubatomicParticle|link=yes|Down quark}}
| {{sort|0938.272013|{{val|938.272013|0.000023}}}}
| {{sort|1.00727646688|{{val|1.00727646677|0.00000000010}}}}
| {{sort|0.5|+{{frac|1|2}}}}
| {{sort|0.5|{{frac|1|2}}}}<sup>+</sup>
| {{sort|1|+1}}
| {{sort|2.7|{{val|2.792847356|0.000000023}}}}
| {{sort|+10|Stable}}<sup>{{ref|protonlifetime|[b]}}</sup>
| Unobserved
|-
| style="text-align:left;"| [[neutron]]<ref name=PDGNeutron group="PDG">[http://pdg.lbl.gov/2010/listings/rpp2010-list-n.pdf Particle listings – {{SubatomicParticle|Neutron}}]</ref>
| {{SubatomicParticle|Neutron}} / {{SubatomicParticle|Neutron0}} / {{SubatomicParticle|Nucleon0}}
| {{SubatomicParticle|Up quark}}{{SubatomicParticle|Down quark}}{{SubatomicParticle|Down quark}}
| {{sort|0939.565346|{{val|939.565346|0.000023}}}}
| {{sort|1.00866491560|{{val|1.00866491597|0.00000000043}}}}
| {{sort|-0.5|-{{frac|1|2}}}}
| {{sort|0.5|{{frac|1|2}}}}<sup>+</sup>
| {{val|0}}
| {{sort|-1.9|{{val|-1.91304273|0.00000045}}}}
| {{sort|+2|{{val|8.857|0.008|e=+2}}}}<sup>{{ref|neutronlifetime|[c]}}</sup>
| {{nowrap|{{SubatomicParticle|link=yes|Proton}} + {{SubatomicParticle|link=yes|Electron}} + {{SubatomicParticle|link=yes|Electron antineutrino}}}}
|-
| style="text-align:left;"| [[antiproton]]
| {{SubatomicParticle|Antiproton}} / {{PhysicsParticle|p|TR=−}} / {{PhysicsParticle|N|TR=−}}
| {{SubatomicParticle|Up antiquark}}{{SubatomicParticle|Up antiquark}}{{SubatomicParticle|Down antiquark}}
| {{sort|0938.272013|{{val|938.272013|0.000023}}}}
| {{sort|1.00727646688|{{val|1.00727646677|0.00000000010}}}}
| {{sort|-0.5|-{{frac|1|2}}}}
| {{sort|0.5|{{frac|1|2}}}}<sup>+</sup>
| {{sort|-1|−1}}
| {{sort|-2.7|{{val|-2.793|0.006}}}}
| {{sort|+10|Stable}}<sup>{{ref|protonlifetime|[b]}}</sup>
| Unobserved
|-
| style="text-align:left;"| [[antineutron]]
| {{SubatomicParticle|Antineutron}} / {{SubatomicParticle|Antineutron0}} / {{SubatomicParticle|Antinucleon0}}
| {{SubatomicParticle|Up antiquark}}{{SubatomicParticle|Down antiquark}}{{SubatomicParticle|Down antiquark}}
| {{sort|0939.565346|{{val|939.485|0.051}}}}
| {{sort|1.00866491560|{{val|1.00866491597|0.00000000043}}}}
| {{sort|0.5|+{{frac|1|2}}}}
| {{sort|0.5|{{frac|1|2}}}}<sup>+</sup>
| {{val|0}}
| ?
| {{sort|+2|{{val|8.857|0.008|e=+2}}}}<sup>{{ref|neutronlifetime|[c]}}</sup>
| {{nowrap|{{SubatomicParticle|link=yes|Antiproton}} + {{SubatomicParticle|link=yes|Positron}} + {{SubatomicParticle|link=yes|Electron neutrino}}}}
|}
{{note|nucleonmass|a}} The masses of the proton and neutron are known with far greater precision in [[atomic mass unit]]s (u) than in MeV/c<sup>2</sup>, due to the relatively poorly known value of the [[elementary charge]]. The conversion factor used is 1 u = {{val|931.494028|0.000023}} MeV/c<sup>2</sup>.
The masses of their antiparticles are assumed to be identical, and no experiments have refuted this to date. Current experiments show any percent difference between the masses of the proton and antiproton must be less than {{val|2|e=-9}}<ref group="PDG" name="PDGProton" /> and the difference between the neutron and antineutron masses is on the order of {{val|9|6|e=-5}} MeV/c<sup>2</sup>.<ref name=PDGNeutron group="PDG"/>
{| class="wikitable"
|+ Proton-antiproton CPT invariance tests
|-
! Test
! Formula
! RPG Result<ref name=PDGProton group="PDG"/>
|-
| [[Mass]]
|<math>\frac{|m_p-m_\bar{p}|}{m_p}</math>
|< {{val|2|e=-9}}
|-
| [[Charge-to-mass ratio]]
|<math>\frac{|\frac{q_\bar{p}}{m_\bar{p}}|}{(\frac{q_p}{m_p})}</math>
|{{val|0.99999999991|0.00000000009}}
|-
| Charge-to-mass-to-mass ratio
|<math>\frac{|\frac{q_\bar{p}}{m_\bar{p}}| - \frac{q_p}{m_p}}{\frac{q_p}{m_p}}</math>
|{{val|-9|9|e=-11}}
|-
| Charge
|<math>\frac{|q_p+q_\bar{p}|}{e}</math>
|< {{val|2|e=-9}}
|-
| Electron charge
|<math>\frac{|q_p+q_e|}{e}</math>
|<{{val|1|e=-21}}
|-
| Magnetic moment
|<math>\frac{|\mu_p+\mu_\bar{p}|}{\mu_p}</math>
|{{val|-0.1|2.1|e=-3}}
|}
{{note|protonlifetime|b}} At least 10<sup>35</sup> years. See [[proton decay]].


{{note|neutronlifetime|c}} For [[free neutron]]s; in most common nuclei, neutrons are stable.<br>
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===Nucleon resonances===
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'''Nucleon resonances''' are [[excited state]]s of nucleon particles, often corresponding to one of the quarks having a flipped [[spin (physics)|spin]] state, or with different [[Azimuthal quantum number|orbital angular momentum]] when the particle decays. Only resonances with a 3 or 4 star rating at the [[Particle Data Group]] (PDG) are included in this table. Due to their extraordinarily short lifetimes, many properties of these particles are still under investigation.  
 
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The symbol format is given as N(M) L<sub>2I2J</sub>, where M is the particle's approximate mass, L is the orbital angular momentum of the Nucleon-meson pair produced when it decays, and I and J are the particle's [[isospin]] and [[total angular momentum]] respectively. Since nucleons are defined as having {{frac|1|2}} isospin, the first number will always be 1, and the second number will always be odd. When discussing nucleon resonances, sometimes the N is omitted and the order is reversed, giving L<sub>2I2J</sub> (M). For example, a proton can be symbolized as "N(939) S<sub>11</sub>" or "S<sub>11</sub> (939)".
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The table below lists only the base resonance; each individual entry represents 4 [[baryon]]s: 2 nucleon resonances particles, as well as their 2 antiparticles. Each resonance exists in a form with a positive [[electric charge]] (Q), with a quark composition of {{SubatomicParticle|Up quark}}{{SubatomicParticle|Up quark}}{{SubatomicParticle|Down quark}} like the proton, and a neutral form, with a quark composition of {{SubatomicParticle|Up quark}}{{SubatomicParticle|Down quark}}{{SubatomicParticle|Down quark}} like the neutron, as well as the corresponding antiparticles with antiquark compositions of {{SubatomicParticle|Up antiquark}}{{SubatomicParticle|Up antiquark}}{{SubatomicParticle|Down antiquark}} and {{SubatomicParticle|Up antiquark}}{{SubatomicParticle|Down antiquark}}{{SubatomicParticle|Down antiquark}} respectively. Since they contain no [[strange quark|strange]], [[charm quark|charm]], [[bottom quark|bottom]], or [[top quark|top]] quarks, these particles do not possess [[strangeness]], etc. The table only lists the resonances with an isospin of {{frac|1|2}}. For resonances with {{frac|3|2}} isospin, see the [[Delta baryon]] article.
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{| class="wikitable sortable"  style="text-align:center; width:100%;"
 
|+ Nucleon resonances ([[Isospin|I]] = {{frac|1|2}})
  <li>[http://www.lansingbbs.com/forum.php?mod=viewthread&tid=9959&fromuid=5045 http://www.lansingbbs.com/forum.php?mod=viewthread&tid=9959&fromuid=5045]</li>
|-
 
! Symbol
  <li>[http://www.jamiatou.com/spip.php?article21 http://www.jamiatou.com/spip.php?article21]</li>
! ''[[Total angular momentum|J]]''<sup>''[[Parity (physics)|P]]''</sup>
 
! PDG [[Rest mass|mass]] average<br />([[electron volt|MeV]]/[[speed of light|c]]<sup>2</sup>)
  <li>[http://khadakpada.com/index.php?page=item&id=409815 http://khadakpada.com/index.php?page=item&id=409815]</li>
! [[Relativistic Breit–Wigner distribution|Full Width]]<br />(MeV/c<sup>2</sup>)
 
! Pole Position<br />(Real Part)
  <li>[http://www.kunming.tw/forum.php?mod=viewthread&tid=58678 http://www.kunming.tw/forum.php?mod=viewthread&tid=58678]</li>
! Pole Position<br />(−2 × Imaginary Part)
 
! class=unsortable|Common decays<br />(Γ<sub>i</sub> /Γ > 50%)
  </ul>
|- style="height:40px"
| N(939) P<sub>11</sub><br /><ref name="PDGN939" group="PDG">[http://pdg.lbl.gov/2011/reviews/rpp2011-rev-n-delta-resonances.pdf Particle listings — Note on N and Delta Resonances]</ref>†
| {{sort|0.5|{{frac|1|2}}}}<sup>+</sup>
| 939
| †
| †
| †
| †
|- style="height:40px"
| N(1440) P<sub>11</sub><br /><ref name="PDGN1440" group="PDG">[http://pdg.lbl.gov/2011/listings/rpp2011-list-N-1440-P11.pdf Particle listings — N(1440)]</ref><br />aka the [[Roper resonance]]
| {{sort|0.5|{{frac|1|2}}}}<sup>+</sup>
| 1440<br />(1420–1470)
| 300<br />(200–450)
| 1365<br />(1350–1380)
| 190<br />(160–220)
| {{nowrap|{{SubatomicParticle|link=yes|Nucleon}} + {{SubatomicParticle|link=yes|Pion}}}}
|- style="height:40px"
| N(1520) D<sub>13</sub><br /><ref name="PDGN1520" group="PDG">[http://pdg.lbl.gov/2011/listings/rpp2011-list-N-1520-D13.pdf Particle listings — N(1520)]</ref>
| {{sort|1.5|{{frac|3|2}}}}<sup>-</sup>
| 1520<br />(1515–1525)
| 115<br />(100–125)
| 1510<br />(1505–1515)
| 110<br />(105–120)
| {{nowrap|{{SubatomicParticle|link=yes|Nucleon}} + {{SubatomicParticle|link=yes|Pion}}}}
|- style="height:40px"
| N(1535) S<sub>11</sub><br /><ref name="PDGN1535" group="PDG">[http://pdg.lbl.gov/2011/listings/rpp2011-list-N-1535-S11.pdf Particle listings — N(1535)]</ref>
| {{sort|0.5|{{frac|1|2}}}}<sup>-</sup>
| 1535<br />(1525–1545)
| 150<br />(125–175)
| 1510<br />1490 — 1530)
| 170<br />(90–250)
| {{nowrap|{{SubatomicParticle|link=yes|Nucleon}} + {{SubatomicParticle|link=yes|Pion}} or}}<br />
{{nowrap|{{SubatomicParticle|link=yes|Nucleon}} + {{SubatomicParticle|link=yes|Eta}}}}
|- style="height:40px"
| N(1650) S<sub>11</sub><br /><ref name="PDGN1650" group="PDG">[http://pdg.lbl.gov/2011/listings/rpp2011-list-N-1650-S11.pdf Particle listings — N(1650)]</ref>
| {{sort|0.5|{{frac|1|2}}}}<sup>-</sup>
| 1650<br />(1645–1670)
| 165<br />(145–185)
| 1665<br />(1640–1670)
| 165<br />(150–180)
| {{nowrap|{{SubatomicParticle|link=yes|Nucleon}} + {{SubatomicParticle|link=yes|Pion}}}}
|- style="height:40px"
| N(1675) D<sub>15</sub><br /><ref name="PDGN1675" group="PDG">[http://pdg.lbl.gov/2011/listings/rpp2011-list-N-1675-D15.pdf Particle listings — N(1675)]</ref>
| {{sort|2.5|{{frac|5|2}}}}<sup>-</sup>
| 1675<br />(1670–1680)
| 150<br />(135–165)
| 1660<br />(1655–1665)
| 135<br />(125–150)
| {{nowrap|{{SubatomicParticle|link=yes|Nucleon}} + {{SubatomicParticle|link=yes|Pion}} + {{SubatomicParticle|link=yes|Pion}} or}}<br />
{{nowrap|{{SubatomicParticle|link=yes|Delta}} + {{SubatomicParticle|link=yes|Pion}}}}
|- style="height:40px"
| N(1680) F<sub>15</sub><br /><ref name="PDGN1680" group="PDG">[http://pdg.lbl.gov/2011/listings/rpp2011-list-N-1680-F15.pdf Particle listings — N(1680)]</ref>
| {{sort|2.5|{{frac|5|2}}}}<sup>+</sup>
| 1685<br />(1680–1690)
| 130<br />(120–140)
| 1675<br />(1665–1680)
| 120<br />(110–135)
| {{nowrap|{{SubatomicParticle|link=yes|Nucleon}} + {{SubatomicParticle|link=yes|Pion}}}}
|- style="height:40px"
| N(1700) D<sub>13</sub><br /><ref name="PDGN1700" group="PDG">[http://pdg.lbl.gov/2011/listings/rpp2011-list-N-1700-D13.pdf Particle listings — N(1700)]</ref>
| {{sort|1.5|{{frac|3|2}}}}<sup>-</sup>
| 1700<br />(1650–1750)
| 100<br />(50–150)
| 1680<br />(1630–1730)
| 100<br />(50–150)
| {{nowrap|{{SubatomicParticle|link=yes|Nucleon}} + {{SubatomicParticle|link=yes|Pion}} + {{SubatomicParticle|link=yes|Pion}}}}
|- style="height:40px"
| N(1710) P<sub>11</sub><br /><ref name="PDGN1710" group="PDG">[http://pdg.lbl.gov/2011/listings/rpp2011-list-N-1710-P11.pdf Particle listings — N(1710)]</ref>
| {{sort|0.5|{{frac|1|2}}}}<sup>+</sup>
| 1710<br />(1680–1740)
| 100<br />(50–250)
| 1720<br />(1670–1770)
| 230<br />(80–380)
| {{nowrap|{{SubatomicParticle|link=yes|Nucleon}} + {{SubatomicParticle|link=yes|Pion}} + {{SubatomicParticle|link=yes|Pion}}}}
|- style="height:40px"
| N(1720) P<sub>13</sub><br /><ref name="PDGN1720" group="PDG">[http://pdg.lbl.gov/2011/listings/rpp2011-list-N-1720-P13.pdf Particle listings — N(1720)]</ref>
| {{sort|1.5|{{frac|3|2}}}}<sup>+</sup>
| 1720<br />(1700–1750)
| 200<br />(150–300)
| 1675<br />(1660–1690)
| 115–275
| {{nowrap|{{SubatomicParticle|link=yes|Nucleon}} + {{SubatomicParticle|link=yes|Pion}} + {{SubatomicParticle|link=yes|Pion}} or}}<br />
{{nowrap|{{SubatomicParticle|link=yes|Nucleon}} + {{SubatomicParticle|link=yes|Rho}}}}
|- style="height:40px"
| N(2190) G<sub>17</sub><br /><ref name="PDGN2190" group="PDG">[http://pdg.lbl.gov/2011/listings/rpp2011-list-N-2190-G17.pdf Particle listings — N(2190)]</ref>
| {{sort|3.5|{{frac|7|2}}}}<sup>-</sup>
| 2190<br />(2100–2200)
| 500<br />(300–700)
| 2075<br />(2050–2100)
| 450<br />(400–520)
| {{nowrap|{{SubatomicParticle|link=yes|Nucleon}} + {{SubatomicParticle|link=yes|Pion}} (10—20%)}}
<!-- ** http://pdg.lbl.gov/2011/listings/rpp2011-list-N-2200-D15.pdf -->
|- style="height:40px"
| N(2220) H<sub>19</sub><br /><ref name="PDGN2220" group="PDG">[http://pdg.lbl.gov/2011/listings/rpp2011-list-N-2220-H19.pdf Particle listings — N(2220)]</ref>
| {{sort|4.5|{{frac|9|2}}}}<sup>+</sup>
| 2250<br />(2200–2300)
| 400<br />(350–500)
| 2170<br />(2130–2200)
| 480<br />(400–560)
| {{nowrap|{{SubatomicParticle|link=yes|Nucleon}} + {{SubatomicParticle|link=yes|Pion}} (10—20%)}}
|- style="height:40px"
| N(2250) G<sub>19</sub><br /><ref name="PDGN2250" group="PDG">[http://pdg.lbl.gov/2011/listings/rpp2011-list-N-2250-G19.pdf Particle listings — N(2250)]</ref>
| {{sort|4.5|{{frac|9|2}}}}<sup>-</sup>
| 2250<br />(2200–2350)
| 500<br />(230–800)
| 2200<br />(2150–2250)
| 450<br />(350–550)
| {{nowrap|{{SubatomicParticle|link=yes|Nucleon}} + {{SubatomicParticle|link=yes|Pion}} (5—15%)}}
|}
† ''The P<sub>11</sub>(939) nucleon represents the excited state of a normal proton or neutron, for example, within the nucleus of an atom. Such particles are usually stable within the nucleus, i.e. [[Lithium-6]].''
 
==Quark model classification==
In the [[quark model]] with [[SU(2)]] [[flavour (particle physics)|flavour]], the two nucleons are part of the ground state doublet.  The proton has quark content of ''uud'', and the neutron, ''udd''. In [[SU(3)]] flavour, they are part of the ground state octet ('''8''') of [[spin (physics)|spin]] {{frac|1|2}} [[baryon]]s, known as the [[eightfold way (physics)|Eightfold way]]. The other members of this octet are the [[hyperon]]s [[strangeness|strange]] [[isopin|isotriplet]] [[Sigma baryon|{{SubatomicParticle|Sigma+}}, {{SubatomicParticle|Sigma0}}, {{SubatomicParticle|Sigma-}}]], the [[Lambda baryon|{{SubatomicParticle|Lambda}}]] and the strange isodoublet [[Xi baryon|{{SubatomicParticle|Xi0}}, {{SubatomicParticle|Xi-}}]]. One can extend this multiplet in [[SU(4)]] flavour (with the inclusion of the charm quark) to the ground state '''20'''-plet, or to [[SU(6)]] flavour (with the inclusion of the top and bottom quarks) to the ground state '''56'''-plet.
 
The article on [[isospin]] provides an explicit expression for the nucleon wave functions in terms of the quark flavour eigenstates.
 
==Models==<!-- This section is linked from [[Casimir effect]] -->
{{Confusing|date=August 2007}}
 
Although it is known that the nucleon is made from three quarks, {{As of|2006|lc=on}}, it is not known how to solve the [[equations of motion]] for [[quantum chromodynamics]]. Thus, the study of the low-energy properties of the nucleon are performed by means of models. The only first-principles approach available is to attempt to solve the equations of QCD numerically, using [[lattice QCD]]. This requires complicated algorithms and very powerful [[supercomputer]]s. However, several analytic models also exist:
 
The [[Skyrmion]] models the nucleon as a [[topological soliton]] in a non-linear [[SU(2)]] [[pion]] field. The topological stability of the Skyrmion is interpreted as the conservation of [[baryon number]], that is, the non-decay of the nucleon. The local [[topological winding number]] density is identified with the local [[baryon number]] density of the nucleon. With the pion isospin vector field oriented in the shape of a [[hedgehog space]], the model is readily solvable, and is thus sometimes called the '''hedgehog model'''. The hedgehog model is able to predict low-energy parameters, such as the nucleon mass, radius and [[axial coupling constant]], to approximately 30% of experimental values.
 
The [[MIT bag model]] confines three non-interacting quarks to a spherical cavity, with the [[boundary condition]] that the quark [[vector current]] vanish on the boundary. The non-interacting treatment of the quarks is justified by appealing to the idea of [[asymptotic freedom]], whereas the hard boundary condition is justified by [[quark confinement]]. Mathematically, the model vaguely resembles that of a [[radar cavity]], with solutions to the [[Dirac equation]] standing in for solutions to the [[Maxwell equations]] and the vanishing vector current boundary condition standing for the conducting metal walls of the radar cavity.  If the radius of the bag is set to the radius of the nucleon, the bag model predicts a nucleon mass that is within 30% of the actual mass.
Although the basic bag model does not provide a pion-mediated interaction, it describes excellently the nucleon-nucleon forces through the 6-quark bag s-channel mechanism using the P matrix. <ref>[[Robert Jaffe|R. L. Jaffe]] and [[Francis E. Low|F. E. Low]], (1979). "Connection between quark-model eigenstates and low-energy scattering", Phys. Rev. D 19, 2105. {{doi|10.1103/PhysRevD.19.2105}}</ref>
<ref>Yu. A. Simonov, (1981). "The quark compound bag model and the Jaffe-Low P matrix", Phys. Lett. B 107, 1.
{{doi|10.1016/0370-2693(81)91133-3}}</ref>
 
The '''chiral bag model'''<ref>{{cite journal|author = [[Gerald E. Brown]] and [[Mannque Rho]]|date=March 1979|title = The little bag|journal = Phys. Lett. B|volume = 82|issue = 2 |pages = 177–180| doi = 10.1016/0370-2693(79)90729-9|bibcode = 1979PhLB...82..177B }}</ref> merges the MIT bag model and the Skyrmion model. In this model, a hole is punched out of the middle of the Skyrmion, and replaced with a bag model. The boundary condition is provided by the requirement of continuity of the [[axial vector current]] across the bag boundary. Very curiously, the missing part of the topological winding number (the baryon number) of the hole punched into the Skyrmion is exactly made up by the non-zero [[vacuum expectation value]] (or [[spectral asymmetry]]) of the quark fields inside the bag. {{As of|2006}}, this remarkable trade-off between [[topology]] and the [[spectrum of an operator]] does not have any grounding or explanation in the mathematical theory of [[Hilbert space]]s and their relationship to [[geometry]]. Several other properties of the chiral bag are notable: it provides a better fit to the low energy nucleon properties, to within 5–10%, and these are almost completely independent of the chiral bag radius (as long as the radius is less than the nucleon radius). This independence of radius is referred to as the '''Cheshire Cat principle''', after the fading to a smile of [[Lewis Carroll]]'s [[Cheshire Cat]]. It is expected that a first-principles solution of the equations of QCD will demonstrate a similar duality of quark-pion descriptions.
 
==See also==
* [[Hadron]]s
* [[Electroweak interaction]]
 
==Further reading==
* A.W. Thomas and W.Weise, ''The Structure of the Nucleon'', (2001) Wiley-WCH, Berlin, ISBN [http://www.wiley-vch.de/publish/en/books/bySubjectPH00/ISBN3-527-40297-7/ ISBN 3-527-40297-7]
*YAN Kun. [http://inspirebeta.net/record/913262  Equation of average binding energy per nucleon]. {{doi|10.3969/j.issn.1004-2903.2011.01.018}}
* {{cite book
|last1=Brown |first1=G. E.
|last2=Jackson |first2=A. D.
|year=1976
|title=The Nucleon–Nucleon Interaction
|publisher=[[North-Holland Publishing]]
|isbn=0-7204-0335-9
}}
* {{cite journal
|last1=Vepstas |first1=L.
|last2=Jackson |first2=A.D.
|last3=Goldhaber |first3=A.S.
|year=1984
|title=Two-phase models of baryons and the chiral Casimir effect
|journal=[[Physics Letters B]]
|volume=140 |issue= 5–6|pages=280–284
|arxiv=
|bibcode=1984PhLB..140..280V
|doi=10.1016/0370-2693(84)90753-6
}}
*{{cite journal
  |last1=Vepstas |first1=L.
|last2=Jackson |first2=A. D.
|year=1990
|title=Justifying the chiral bag
|journal=[[Physics Reports]]
|volume=187 |issue=3 |pages=109–143
|bibcode=1990PhR...187..109V
|doi=10.1016/0370-1573(90)90056-8
}}
* {{cite journal
|last=Nakamura |first=N.
|year=2011
|coauthors=''et al.'' ([[Particle Data Group]])
|journal=[[Journal of Physics G]]
|volume=37 |issue=7 |page=075021
|doi=10.1088/0954-3899/37/7A/075021
|title=Review of Particle Physics
|bibcode = 2010JPhG...37g5021N }}
 
==References==
{{reflist}}
 
===Particle listings===
{{reflist|2|liststyle=decimal-leading-zero|group=PDG}}
{{particles}}
 
[[Category:Hadrons]]
[[Category:Baryons]]
[[Category:Neutron]]
[[Category:Nucleons| ]]

Latest revision as of 19:25, 19 November 2014

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