Energy spectra in $p$-shell $\Lambda$ hypernuclei and $^{19}_{\Lambda}\textrm{F}$ and spin-dependent $\Lambda N$ interactions. (7th July 2019) - Kanada-En'yo, Yoshiko
Abstract: Energy spectra of$0s$ -orbit$\Lambda$ states in$p$ -shell$\Lambda$ hypernuclei ($^{A}_\Lambda Z$ ) and those in$^{19}_{\Lambda}\textrm{F}$ are studied with the microscopic cluster model and antisymmetrized molecular dynamics using the$G$ -matrix effective$\Lambda N$ ($\Lambda NG$ ) interactions. Spin-dependent terms of the ESC08a version of the$\Lambda NG$ interactions are tested and phenomenologically tuned to reproduce observed energy spectra in$p$ -shell$^{A}_\Lambda Z$ . Spin-dependent contributions of the$\Lambda N$ interactions to spin-doublet splitting and excitation energies are discussed. Energy spectra for unobserved excited states in$p$ -shell$^{A}_\Lambda Z$ and$^{19}_{\Lambda}\textrm{F}$ are predicted with the modified$\Lambda NG$ interactions.