Skyrme force for all known <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi mathvariant="normal">Ξ</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math> hypernuclei
Jing Guo, Xian-Rong Zhou, H.-J. Schulze
Abstract
Recent experimental results for the cascade hypernucleus $_{\phantom{\rule{2.0pt}{0ex}}\mathrm{\ensuremath{\Xi}}}^{15}\mathrm{C}$ ($^{14}\mathrm{N}+{\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}$) are analyzed together with data for $_{\phantom{\rule{2.0pt}{0ex}}\mathrm{\ensuremath{\Xi}}}^{12}\mathrm{Be}$ and $_{\phantom{\rule{2.0pt}{0ex}}\mathrm{\ensuremath{\Xi}}}^{13}\mathrm{B}$ within a Skyrme-Hartree-Fock theoretical approach. Optimal Skyrme parameters are determined for a consistent description of the KISO, IBUKI, KINKA, BNL-E885, BNL-E906, KEK-E224, and KEK-E176 data regarding these nuclei. The important role of deformation for $_{\phantom{\rule{2.0pt}{0ex}}\mathrm{\ensuremath{\Xi}}}^{13}\mathrm{B}$ is pointed out. The shape of the ${\mathrm{\ensuremath{\Xi}}}^{\ensuremath{-}}$ mean field in $_{\phantom{\rule{2.0pt}{0ex}}\mathrm{\ensuremath{\Xi}}}^{12}\mathrm{Be}$ is analyzed in some detail.