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

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 $ΛN$ interaction is different in two potentials, the $Λ$ single-particle potential in nuclear matter is very similar. The $Σ$-nucleus and $Ξ$-nucleus potentials are also found to be similar. These predictions are to be confronted with forthcoming experimental data.

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