MESON-BARYON FORM-FACTORS IN THE CHIRAL COLOR-DIELECTRIC MODEL

Authors
Citation
Sc. Phatak, MESON-BARYON FORM-FACTORS IN THE CHIRAL COLOR-DIELECTRIC MODEL, Physical review. C. Nuclear physics, 58(4), 1998, pp. 2383-2392
Citations number
13
Categorie Soggetti
Physics, Nuclear
ISSN journal
05562813
Volume
58
Issue
4
Year of publication
1998
Pages
2383 - 2392
Database
ISI
SICI code
0556-2813(1998)58:4<2383:MFITCC>2.0.ZU;2-R
Abstract
The renormalized form factors for pseudoscalar meson-baryon coupling a re computed in the chiral color dielectric model. This has been done b y rearranging the Lippmann-Schwinger series for the meson-baryon scatt ering matrix so that it can be expressed as a baryon pole term with re normalized form factors and baryon masses and the rest of the terms wh ich arise from the crossed diagrams. Thus we are able to obtain an int egral equation for the renormalized meson-baryon form factors in terms of the bare form factors as well as an expression for the meson self- energy. This integral equation is solved, and renormalized meson baryo n form factors and renormalized baryon masses are computed. The parame ters of the model are adjusted to obtain a best fit to the physical ba ryon masses. The calculations show that the renormalized form factors are energy dependent and differ from the bare form factors primarily a t momentum transfers smaller than 1 GeV. At nucleon mass, the change i n the form factors is about 10% at zero momentum transfer. The compute d form factors are soft with the equivalent monopole cutoff mass of ab out 500 MeV. The renormalized coupling constants are obtained by compa ring the chiral color dielectric model interaction Hamiltonian with th e standard form of the meson-nucleon interaction Hamiltonian. The rati o of Delta N pi and NN pi coupling constants is found to be about 2.15 . This value is very close to the experimental value. [S0556-2813(98)0 6109-3].