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

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

2009-12-22

arxiv.org/abs/0912.4330v1

Phys.Rev.C81:014003,2010

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1103/PhysRevC.81.014003

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 $\Lambda N$ interaction is different in two potentials, the $\Lambda$ single-particle potential in nuclear matter is very similar. The $\Sigma$-nucleus and $\Xi$-nucleus potentials are also found to be similar. These predictions are to be confronted with forthcoming experimental data.

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