Katyal, D. L. ; Bhasin, V. S. ; Mitra, A. N.
(1967)
*Baryon mass splittings in an SU(6) × O(3) quark model*
Physical Review, 161
(5).
pp. 1546-1554.
ISSN 0031-899X

Full text not available from this repository.

Official URL: http://link.aps.org/doi/10.1103/PhysRev.161.1546

Related URL: http://dx.doi.org/10.1103/PhysRev.161.1546

## Abstract

The positive- and negative-parity baryon mass shifts are investigated under the assumption that these particles belong, respectively, to the representations (56,1) and (70,3) of the group SU(6)×O(3), which are dynamically realizable from a 3-quark model with totally symmetric (S) functions, as found earlier by one of the authors. Two different types of SU(2)-invariant central forces V^{(1)} and V^{(2)}, each of which is shown to be in conformity with the usual mass relations for the 56 states, are employed. One of these forces (V^{(2)}) is, however, found to violate the Gell-Mann-Okubo formula for certain negative-parity octets. It is also found that appreciable mixtures of both V^{(1)} and V^{(2)} are necessary even for a qualitative representation of the experimental masses. The effect of an SU(2)-invariant spin-orbit force of the type τ_{1}-τ_{2} of modest strength (∼25 MeV) is found to be very helpful in producing a reasonably good fit to the actual masses of the negative-parity baryons. Such a force has, however, no first-order effect on the 56 masses, on the assumption of orbital S functions, which can be constructed only with S-wave Q-Q pairs. The significance of this result is briefly discussed in connection with the question of quark statistics.

Item Type: | Article |
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Source: | Copyright of this article belongs to The American Physical Society. |

ID Code: | 34661 |

Deposited On: | 09 Apr 2011 06:59 |

Last Modified: | 09 Apr 2011 06:59 |

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