Anand, J. D. ; Bhasin, V. S. ; Mitra, A. N.
(1968)
*Rescattering effects in the quark model for meson-baryon couplings*
Physical Review, 176
(5).
pp. 1891-1897.
ISSN 0031-899X

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Official URL: http://link.aps.org/doi/10.1103/PhysRev.176.1891

Related URL: http://dx.doi.org/10.1103/PhysRev.176.1891

## Abstract

The eikonal approximation in high-energy scattering is used as a basis for the evaluation of scattering corrections to meson-baryon couplings in the independent quark model. These corrections, which reduce the SU(6) symmetry (characteristic of the impulse approximation) to a mere SU(3) symmetry, are found to be typically of the order of 20-30% on the coupling constants. An important part of the correction, which arises from the purely "SU(3)-isotropic" component of the meson-quark amplitude, has exactly the same structure as the SU(6)-invariant couplings and hence can be interpreted as a renormalization effect. The remaining corrections, which may be called the "true scattering effects," lead to an explicit formula for the F/D ratio in octet couplings in terms of the meson-quark scattering parameters which differs from its SU(6) value of 2/3 by about 4%. These corrections also give an enhancement factor for decuplet decays which increases the predicted rate for N^{*}→Nπ by about 30%. It is argued that the nature of these numerical results is rather insensitive to the precise validity or lack of validity of the eikonal approximation.

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

ID Code: | 34682 |

Deposited On: | 09 Apr 2011 06:59 |

Last Modified: | 09 Apr 2011 06:59 |

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