Fréchet-Kolmogorov theorem: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
en>Yobot
m →‎References: Remove invisible unicode control characters + other fixes using AWB (10381)
 
Line 1: Line 1:
'''Neutral Detector''' ('''ND''') is a [[detector]] for [[particle physics]] [[experiment]]s created  by the team of physicists in the
[[Budker Institute of Nuclear Physics]], [[Novosibirsk]], [[Russia]].
Experiments with the '''ND''' were conducted from 1982 to 1987 at the e<sup>+</sup>e<sup>−</sup> [[storage ring]]  VEPP-2M in the [[energy]] range 2E=0.5-1.4 GeV.


== Physics ==


At the beginning of 80s the leading [[Scattering cross-section|cross sections]] of the [[electron]]-[[positron]] [[annihilation]] in the final states with [[charged particle]]s were measured in the energy range 2E=0.5-1.4 GeV. Processes with the [[neutral particle]]s in the final state were less studied. To investigate the [[Particle decay|radiative decays]] of the <math>\rho^0</math>, <math>\omega</math>, and <math>\phi</math> [[meson]]s and other processes involving [[photon]]s, <math>\pi^0</math>, and <math>\eta</math> [[meson]]s the '''ND'''
I'm a 36 years old, married and work at the high school (Educational Policy Studies).<br>In my free [http://Www.TimeIm.org/ time I'm] trying to teach myself Korean. I've been twicethere and look forward to returning sometime in the future. I like to read, preferably on my beloved Kindle. I like to watch How I Met Your Mother and Grey's Anatomy as well as documentaries about nature. I like Seashell Collecting.<br><br>my blog post [http://www.cheapdomains.com/review/networksolutions-com/ Cheap domains]
<ref name="ND">
{{cite journal
|last1=Golubev |first1=V. B.
|coauthors=''et al.''
|year=1984
|title=The neutral detector at VEPP-2M
|journal=Nuclear Instruments and Methods in Physics Research Section A
|volume=227 |number=3 |pages=467–469
|doi=10.1016/0168-9002(84)90202-X|bibcode = 1984NIMPA.227..467G }}</ref>
was constructed. Its distinguishing features are defined by the specially designed [[Calorimeter (particle physics)|electromagnetic calorimeter]] based on [[NaI]](Tl) [[scintillation counter]]s.
 
'''List of published analyses''' <ref name="Summary">
{{cite journal
|last1=Dolinsky |first1=S. I.
|coauthors=''et al.''
|year=1991
|title=Summary of experiments with the neutral detector at the e<sup>+</sup>e<sup>−</sup> storage ring VEPP-2M
|journal=Physics Reports
|volume=202 |number=3 |pages=99–170
|doi= 10.1016/0370-1573(91)90127-8|bibcode = 1991PhR...202...99D }}</ref>
 
* [[Particle decay|Radiative decays]]
: <math> e^+e^- \to \rho, \omega, \phi \to \pi^0 \gamma, \eta \gamma </math> <ref name="rad-dec-rho-omega">
{{cite journal
|last1=Dolinsky |first1=S. I.
|coauthors=''et al.''
|year=1984
|title=Radiative decays of ρ and ω mesons
|journal=[[Zeitschrift für Physik C]]
|volume=42 |number=4 |pages=511–518
|doi= 10.1007/BF01557655}}</ref><ref name="rad-dec-phi">
{{cite journal
|last1=Druzhinin |first1=V. P.
|coauthors=''et al.''
|year=1984
|title=Measurement of Φ-meson radiative decays at the storage ring VEPP-2M with the neutral detector
|journal=Physics Letters B
|volume=144 |number=1-2 |pages=136–140
|doi= 10.1016/0370-2693(84)90192-8 |bibcode = 1984PhLB..144..136D }}</ref>
: <math> \phi \to \eta^\prime \gamma </math> <ref name="search-rare-rad-dec-phi">
{{cite journal
|last1=Druzhinin |first1=V. P.
|coauthors=''et al.''
|year=1987
|title=Search for rare radiative decays of Φ-meson at VEPP-2M
|journal=[[Zeitschrift für Physik C]]
|volume=37 |number=1 |pages=1–5
|doi= 10.1007/BF01442062 |bibcode = 1987ZPhyC..37....1D }}</ref>
 
* Rare decays of the <math>\rho^0</math>, <math>\omega</math>, and <math>\phi</math> mesons
: <math> \omega, \phi \to \pi^0 e^+e^- </math> <ref>S.I. Dolinsky ''et al.'', Sov. J. Nucl. Phys. 48 (1988) 277.</ref>
: <math> \phi \to \pi^+ \pi^- </math> <ref>V. B. Golubev ''et al.'', Sov. J. Nucl. Phys. 44 (1986) 409.</ref>
 
* Search for rare decays
: <math> \rho \to \pi^+ \pi^- \pi^0 </math> <ref>V. B. Vasserman ''et al.'', Sov. J. Mod. Phys. 48 (1988) 480.</ref>
: <math> \omega, \phi \to \pi^0 \pi^0 \gamma </math> <ref name="rad-dec-rho-omega" /><ref name="search-rare-rad-dec-phi" />
: <math> \phi \to \pi^0 \eta \gamma </math> <ref>V. M. Aulchcnko ''et al.'', Preprini INP 87-90 (Novosibirsk, 1987).</ref>
: light scalars <math>a_0(980)</math> and <math>f_0(975)</math> in <math>\phi</math>-meson radiative decays <ref name="search-rare-rad-dec-phi" />
 
* Non-[[Resonance (particle physics)|resonant]] electron-positron [[annihilation]] into [[hadron]]s
: <math> e^+e^- \to \omega \pi^0 </math> <ref name="omega-pi0">
{{cite journal
|last1=Dolinsky |first1=S. I.
|coauthors=''et al.''
|year=1986
|title=The reaction e<sup>+</sup>e<sup>−</sup> → ωπ<sup>0</sup> in the cm energy range from 1.0 to 1.4 GeV
|journal=Phys. Lett. B
|volume=174 |number=4 |pages=453–457
|doi=10.1016/0370-2693(86)91036-1|bibcode = 1986PhLB..174..453D }}</ref>
: <math> e^+e^- \to \pi^+ \pi^- \pi^0 ,~~ \pi^+ \pi^- \eta </math> <ref>A. D. Bukin ''et al.'', Sov. J. Nucl. Phys. 50 (1989) 621.</ref><ref name="etapipi">
{{cite journal
|last1=Druzhinin |first1=V. P.
|coauthors=''et al.''
|year=1986
|title=Investigation of the reaction e<sup>+</sup>e<sup>−</sup> → ηπ<sup>+</sup>π<sup>−</sup> in the energy range up to 1.4 GeV
|journal=Phys. Lett. B
|volume=174 |number=1 |pages=115–117
|doi=10.1016/0370-2693(86)91140-8 |bibcode = 1986PhLB..174..115D }}</ref>
: <math> e^+e^- \to \pi^+ \pi^- \pi^+ \pi^-,~~ \pi^+ \pi^- \pi^0 \pi^0 </math> <ref>V. M. Aulchenko ''et al.'', Preprint INP 86-106 (Novosibirsk, 1987).</ref>
 
* Test of [[Quantum electrodynamics|QED]] processes <ref>V. P. Druzhinin ''et al.'', Preprint INP 85-98 (Novosibirsk, 1985).</ref><ref>V. M. Aulchcnko ''et al.'', Preprint INP 86-173 (Novosibirsk, 1986).</ref>
: <math> e^+e^- \to \gamma \gamma \gamma \gamma </math>
: <math> e^+e^- \to e^+e^- \gamma \gamma </math>
: <math> e^+e^- \to e^+e^- e^+e^- </math>
: <math> e^+e^- \to e^+e^- \gamma </math>  (virtual Compton scattering) <ref>V. B. Golubev ''et al.'', Sov. J. Nucl. Phys. 41(1985) 752.</ref>
 
* Analyses of other processes
**Measurement of the ω-meson parameters <ref name="omega-pars">
{{cite journal
|last1=Aulchenko |first1=V. M.
|coauthors=''et al.''
|title=The width of the ω-meson
|journal=Phys. Lett. B
|volume=186 |number=3-4 |year=1987 |pages=432–434
|doi=10.1016/0370-2693(87)90322-4 |bibcode = 1987PhLB..186..432A }}</ref>
**Upper limits on electron [[Resonance (particle physics)|width]] of [[Scalar meson|scalar]] and [[tensor]] mesons <math>f_0(975)</math>, <math>f_2(1270)</math>, <math>f_0(1300)</math>, <math>a_0(980)</math>, and <math>a_2(1320)</math> <ref>P. V. Vorobyov ''et al.'', Sov. J. Nucl. Phys. 48 (1988) 436.</ref>
**<math> \phi \to \pi^+ \pi^- \pi^0,~~ K^0_S K^0_L </math> <ref>V. P. Druzhinin ''et al.'', Preprint INP 85-97 (Novosibirsk, 1985).</ref>
**Search for
***<math> e^+e^- \to \pi^0 \pi^0 \gamma </math> <ref>V. B. Golubev ''et al.'', Sov. J. Nucl. Phys. 45 (1987) 622.</ref>
***<math> K^0_S \to \gamma \gamma </math> <ref>I. B. Vasserman ''et al.'', JETP Lett. 43(1986) 588.</ref>
***<math> e^+e^- \to C(1480) \to  \phi \pi^0 </math> <ref>V. M. Aulchenko''et al.'', JETP Lett. 45 (1987) 145.</ref>
 
== Detector ==
:[[File:Neutral-Detector-R-Phi-projection-V2.gif|thumb|Neutral Detector r-φ view.]]
:[[File:Neutral-Detector-R-Theta-projection.gif|thumb|Neutral Detector r-θ view; 1-vacuum chamber of the storage ring, 2-cylindrical proportional chambers, 3-plastic scintillation counters, 4-NaI(Tl) counters, 5-flat proportional chambers, 6-iron absorber, 7-anticoincidence counters.]]
 
Based on goals of the physics program the '''ND''' consist of 
 
'''Electromagnetic calorimeter'''
* 168 rectangular [[NaI]](Tl) scintillation counters
* total mass of [[NaI]](Tl) is 2.6 t
* solid angle coverage is 65% of 4π sr
* minimum thickness is 32&nbsp;cm or 12 radiation length
* energy resolution for photons is σ/E = 4% / √E
 
'''Charged particle coordinate system'''
* 3 layers of coaxial cylindrical 2-d wire [[Wire chamber|proportional chambers]] in the center of the detector
* solid angle coverage is 80% of 4π sr
* angular resolution is 0.5° in the azimuthal and 1.5° in the polar direction
* surrounded by the 5-mm thick plastic scintillation counter for trigger
 
'''Flat (shower) coordinate 2-d wire proportional chambers'''
* 2 layers of flat 2-d wire proportional chambers.
* angular resolution is 2° in the azimuthal and 3.5° in the polar direction for 0.5 GeV photons
 
'''Iron absorber & anti-coincidence counters'''
* The electromagnetic calorimeter is covered by the 10-cm thick iron absorber and plastic scintillation anti-coincidence counters.
 
== Results ==
[[Data]] collected with the '''ND''' experiment corresponds to the integrated [[luminosity]] 19 pb<sup>−1</sup>.
Results of the experiments with '''ND''' are presented in Ref.,<ref name="Summary" />
and are included in the [[Particle Data Group|PDG]] Review.
<ref>[http://pdg.lbl.gov/index.html The Review of Particle Physics],
[http://iopscience.iop.org/0954-3899/37/7A/075021  K. Nakamura et al. (Particle Data Group), J. Phys. G 37, 075021 (2010)]</ref>
 
== References ==
{{reflist}}
 
== See also ==
* [[SND Experiment]]
* [[Particle detector]]
* [[Experimental physics]]
* [[List of accelerators in particle physics]]
* [[Budker Institute of Nuclear Physics]]
* [[Storage ring]]
* [[Meson]]
* [[List of particles]]
* [[Annihilation]]
 
== External links ==
* [http://www.inp.nsk.su/index.en.shtml Budker Institute of Nuclear Physics (BINP)]
* [http://www.inp.nsk.su/activity/old/vepp2m/index.ru.shtml VEPP-2M]
 
 
 
[[Category:Particle detectors]]
[[Category:Particle experiments]]
[[Category:Particle physics]]
[[Category:Experimental particle physics]]
[[Category:Particle physics facilities]]

Latest revision as of 20:42, 17 August 2014


I'm a 36 years old, married and work at the high school (Educational Policy Studies).
In my free time I'm trying to teach myself Korean. I've been twicethere and look forward to returning sometime in the future. I like to read, preferably on my beloved Kindle. I like to watch How I Met Your Mother and Grey's Anatomy as well as documentaries about nature. I like Seashell Collecting.

my blog post Cheap domains