One Boson Exchange N-N, N-Δ and Δ-Δ Interaction from Quark Potential Model

Abstract

The equivalent one-boson-exchange potentials of the N-N, N-Δ and Δ-Δ interaction were calculated rigorously in momentum space with the vertex functions derived from quark-pair-creation model. The results of the N-N interaction were compared with those calculated approximately in coordinate space and the conventional one-boson-exchange potentials. All of the results indicate that they have very similar behaviour for the medium- and Long-range parts.

Quark Model for Nuclear Force

“…Since the baryon can be described well by the chiral quark soliton model (CQSM)^, the quark wave function which can be obtained by CQSM is chosen to derive the transition potential from one-gluon-exchange^3â nd to evaluate the direct interaction term and exchanged interaction term in RGM. By means of studying the nucleon-meson vertex function from this transition potential and performing the Fourier transformation' 4 ', the expression of the meson-exchange potential in the coordinate space can be got. Therefore one can expect to obtain some information about the deuteron bound state and the np scattering state.…”