论文标题
$ξ$ hypernuclei $^{15}_松
$Ξ$ hypernuclei $^{15}_Ξ$C, $^{12}_Ξ$Be and $ΞN$ two-body interaction
论文作者
论文摘要
我们研究了$ξ$ hypernuclei $^{15} _配给$ c和$^{12} _ξ$的能量光谱，具有带有相对论的平均值（rmf）模型，带有Meson Exchange $ξn$互动。优化了RMF参数，以重现基结状态的Kinka和Irrawaddy事件的平均能量，以及在$^{15}_ξ$ c中为激发态的Kiso和Ibuki事件的平均能量。在核物质限制中，平均$ξn$平均平均场电位的潜在深度约为$ -12 $ MEV。我们进一步介绍了价核与$ξ$粒子之间的两体$ s $ - 和$ p $ - 波 - 波的相互作用。我们发现，从HAL LQCD结果推论出的$ S $ - 波相互作用相当薄弱，无法获得Irrawaddy和Kinka事件之间的能量差。添加并安装了$ p $ - 波互动以重现能量差。与$ s $ - 波的互动一起，同时为IBUKI事件提供了合理的能量，作为激动的$ξ_p$ state。该模型将进一步应用以预测$^{12}_松为BE的能量光谱。
We study the energy spectra of $Ξ$ hypernuclei $^{15}_Ξ$C and $^{12}_Ξ$Be with a relativistic mean field (RMF) model with meson exchange $ΞN$ interactions. The RMF parameters are optimized to reproduce the average energy of KINKA and IRRAWADDY events for the ground state and also the average energy of KISO and IBUKI events for the excited state in $^{15}_Ξ$C. The potential depth of average $ΞN$ mean field potential is found to be about $-12$ MeV in the nuclear matter limit. We further introduce the two-body $s$- and $p$-wave interactions between valence nucleons and $Ξ$ particle. We found that the $s$-wave interaction deduced from the HAL LQCD results is rather weak to obtain the energy difference between IRRAWADDY and KINKA events. The $p$-wave interaction is added and fitted to reproduce the energy difference. The resulting interaction together with the $s$-wave one gives a reasonable energy simultanously for the IBUKI event as an excited $Ξ_p$ state. The model is further applied to predict the energy spectrum of $^{12}_Ξ$Be.
