Homogeneous polynomial: Difference between revisions

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en>SamuelRiv
quick ref note on homogenous polynomials in physics via dimensional analysis
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{{Unreferenced|date=June 2007}}
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In [[high energy physics]], a '''vector meson''' is a [[meson]] with [[total angular momentum quantum number|total spin]] 1 and odd [[parity (physics)|parity]] (usually noted as {{nowrap|''J<sup>P</sup>''  {{=}} 1<sup>&minus;</sup>}}). Compare to a [[pseudovector meson]], which has a [[total angular momentum quantum number|total spin]] 1 and even [[parity (physics)|parity]].


Vector mesons have been seen in experiments since the 1960s, and are well known for their spectroscopic pattern of masses. Since the development of the [[quark model]] by [[Murray Gell-Mann]] (and independently by [[George Zweig]] as well), the vector mesons have demonstrated the spectroscopy of pure states. The fact that the {{nowrap|''[[Isospin|I]]'' {{=}} 1}} [[rho meson]] (&rho;) and {{nowrap|''I'' {{=}} 0}} [[omega meson]] (&omega;) have nearly equal mass centered around 770–{{val|780|ul=MeV/c2}}, while the [[phi meson]] (&phi;) has a higher mass around {{val|1020|u=MeV/c2}}, indicates that the light-quark vector mesons appear in nearly pure states with the &phi; meson having a nearly 100 percent amplitude of hidden [[strangeness]].
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This characteristic of the vector mesons is not at all evident in the [[pseudoscalar meson]] or [[scalar meson]] multiplets, and may be only slightly realized among the [[tensor meson]] and [[pseudovector meson]] multiplets. This fact makes the vector mesons an excellent probe of the quark [[flavour (physics)|flavor]] content of other types of mesons, measured through the respective [[decay rate]]s of non-vector mesons into the different types of vector mesons. Such experiments are very revealing for theorists who seek to determine the flavor content of mixed state mesons.
 
At higher masses, the vector mesons include [[charm quark|charm]] and [[bottom quark]]s in their structure. In this realm, the [[radiative process]]es tend to stand out, with heavy tensor and scalar mesons decaying dominantly into vector mesons by [[photon emission]]. Pseudovector mesons transition by a similar process into pseudoscalar mesons. Because much of the spectrum of heavy mesons is tied by radiative processes to the vector mesons, one may think of vector mesons as forming a sort of backbone to the spectroscopy of mesons in general.
 
Some vector mesons can, compared to other mesons, be measured to a very high precision. This stems from the fact that they have the same quantum numbers as the photon, {{nowrap|''J<sup>PC</sup>''  {{=}} 1<sup>&minus;0</sup>}}. Therefore they appear in electron-positron collisions in the process <math>e^- e^+ \to \gamma \to q\bar q</math>, which provides experimentally a clear signal compared to other measurement, which have to use hadronic processes.
 
==Examples==
 
* [[rho meson|&rho; meson]]
* [[omega meson|&omega; meson]]
* [[phi meson|&phi; meson]]
* [[Kaon|K*(892) meson]]
* [[D meson|D* meson]]
* [[J/Psi meson|{{SubatomicParticle|J/Psi}} meson]]
* [[Upsilon meson|{{SubatomicParticle|Upsilon}} meson]]
 
==See also==
* [[List of mesons]]
* [[Vector meson dominance]]
 
 
{{particle-stub}}
{{particles}}
 
[[Category:Mesons]]

Revision as of 05:21, 2 March 2014

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