Comparative study of hyperon-nucleon interactions of quark model and chiral effective field theory by low-momentum equivalent interactions and $G$ matrices

Abstract

Hyperon-nucleons interactions constructed by two frameworks, the Kyoto-Niigata SU${}_6$ quark model and the chiral effective field theory, are compared by investigating equivalent interactions in a low-momentum space and in addition by calculating hyperon single-particle potentials in the lowest-order Brueckner theory in symmetric nuclear matter. Two descriptions are shown to give similar matrix elements in most channels after renormalizing high momentum components. Although the range of the $\hat{I}›N$ interaction is different in two potentials, the $\hat{I}›$ single-particle potential in nuclear matter is very similar. The $\hat{I}\pounds$-nucleus and $\hat{I}ž$-nucleus potentials are also found to be similar. These predictions are to be confronted with forthcoming experimental data.

8 pages, 7 figures. To appear in Phys. Rev. C