Jacobi No-Core Shell Model for P-shell Hypernuclei

Abstract

Understanding baryon-baryon (BB) interactions in the non-zero strangeness sectors is a crucial step toward one of the ultimate goals of nuclear physics - a unified theory describing interactions among baryons. Due to the scarcity of hyperon-nucleon (YN) and practically complete lack of hyperon-hyperon (YY) scattering data, BB interactions in the strangeness <var> S=-1 </var> and <var> S=-2 </var> sectors are poorly constrained and must be additionally confronted to hypernuclear observables such as the binding energies and the energy level splittings. The purpose of this thesis is to develop a many-body method that can accurately calculate observable properties of the light p-shell hypernuclei (with single and double strangeness) and unambiguously connect these properties to that of the underlying YN and YY interactions. For that, we advance the J-NCSM approach that has been a successful tool for describing ordinary nuclei up to the p-shell. The approach is an <em>ab initio</em> method that is based on an expansion in a many-body HO basis depending on relative Jacobi coordinates. We have generalized the J-NCSM formalism so that the extension to strangeness sectors other than <var>S=-1 </var> and <var>S=-2 </var> will be straightforward.