<EM>SU</EM>(3) CHARGED, HYPERCHARGED COHERENT STATE AND THE COLOR QUANTUM NUMBER

FAN Hong-Yi; RUAN Tu-Nan

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

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

FAN Hong-Yi ^, ,
RUAN Tu-Nan

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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)×SU_c(3) case.

References

[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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沈阳化工大学材料科学与工程学院沈阳 110142

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

FAN Hong-Yi ^,
RUAN Tu-Nan

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)×SU_c(3) case.