Hypernuclei and hyperon-nucleon interactions

The properties of baryon many-body systems which contain nucleons and hyperons with strangeness link closely to the underlying hyperon(Y)-nucleon(N) and YY interactions. It is very convenient to derive effective interactions in nuclear media from those in free space. The G-matrix gives a good starting point for such approach. It is possible and important to explore the properties of YN and YY interactions, and test their theoretical models by analyzing hypernuclear phenomena. In this work, the G-matrix interaction of the baryon pair in a nuclear matter was derived. The coupling effect between different baryon channels is renormalized into the G-matrix. The density dependence of the resultant G-matrix originates from the repulsive core singularity, the tensor force and also the coupling between different baryon channels. For the application to various hypernuclear problems, it is convenient to construct effective local potentials which simulate the G-matrices. Those are parameterized in a three-range Gaussian form. The parameters are determined so as to simulate the calculated G-matrices. The effective interactions are called YNG-ND, NF, NS, JA and JB. The data on ΛN, ΣN, ΛΛ and ΣN interactions are given. (K.I.)