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Chinese Physics C> 1984, Vol. 8> Issue(4) : 416-425 

SU(3) CHARGED, HYPERCHARGED COHERENT STATE AND THE COLOR QUANTUM NUMBER

  • In this paper the coherent state which possesses a definite Abelian charge is extended to the case of possessing a definite non-Abelian charge. The SU(3) charged, hypercharged coherent states for both boson and fermion cases are constructed. In this way, the fractionally charged, hypercharged quark states can be obtained naturally. Moreover, this formulation also shows that in order to obtain integrally charged, hyper-charged hadron coherent states, one must introduce color quantum number and proceed the discussion of the SU(6)×SUc(3) case.
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    [1] Glauber, Roy, J. Phys. Rev.,131(1963),2766.[2] Bhaumik, D, et al., J. Phys, A9(1976),1507 .[3] Merzbacher, E., Quantum Mechanics, John Wiley and Sons Inc., 1970, p. 528.

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FAN Hong-Yi and RUAN Tu-Nan. SU(3) CHARGED, HYPERCHARGED COHERENT STATE AND THE COLOR QUANTUM NUMBER[J]. Chinese Physics C, 1984, 8(4): 416-425.
FAN Hong-Yi and RUAN Tu-Nan. SU(3) CHARGED, HYPERCHARGED COHERENT STATE AND THE COLOR QUANTUM NUMBER[J]. Chinese Physics C, 1984, 8(4): 416-425. shu
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Received: 1900-01-01
Revised: 1900-01-01
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SU(3) CHARGED, HYPERCHARGED COHERENT STATE AND THE COLOR QUANTUM NUMBER

    Corresponding author: FAN Hong-Yi,
  • Received Date: 1900-01-01
  • Accepted Date: 1900-01-01
  • Available Online: 1984-06-05

Abstract: In this paper the coherent state which possesses a definite Abelian charge is extended to the case of possessing a definite non-Abelian charge. The SU(3) charged, hypercharged coherent states for both boson and fermion cases are constructed. In this way, the fractionally charged, hypercharged quark states can be obtained naturally. Moreover, this formulation also shows that in order to obtain integrally charged, hyper-charged hadron coherent states, one must introduce color quantum number and proceed the discussion of the SU(6)×SUc(3) case.

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