Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1994-12-15
Phys.Rev.C51:2207-2217,1995
Physics
Nuclear Physics
Nuclear Theory
25 pages, 5 figures
Scientific paper
10.1103/PhysRevC.51.2207
We apply the chiral color dielectric model to low- and medium-energy scattering within the coupled $\pi$N and $\pi\Delta$ system. Dynamic baryon states in which quarks are confined by the scalar color-dielectric field are constructed in Fock space. Spurious motion of the center of mass is eliminated by constructing momentum eigenstates via a Peierls-Yoccoz projection. The relativistic Lippmann-Schwinger equation is solved for the complex energies of the T matrix poles, and the pole positions of the nucleon and delta are used to fix the few parameters of the model. The $S$- and $P$-wave phase shifts, the bare N and $\Delta$ masses, the renormalized $\pi$NN and $\pi$N$\Delta$ coupling constants, and the $\pi$NN and $\pi$N$\Delta$ vertex functions are predicted. nucleon and delta are used to fix the few parameters of the model. The $S$- and $P$-wave phase shifts, the bare N and $\Delta$ masses, the renormalized $\pi$NN and $\pi$N$\Delta$ coupling constants, and the $\pi$NN and $\pi$N$\Delta$ vertex functions are predicted.
Landau Rubin H.
Lu Dinghui
Phatak Shashikant C.
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