Low-lying level structure of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="normal">Λ</mml:mi></mml:math> hypernuclei and spin dependence of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:math> interaction with antisymmetrized molecular dynamics
Masahiro Isaka, Yasuo Yamamoto, T. Motoba
Abstract
$\mathrm{\ensuremath{\Lambda}}N$ spin-spin and spin-orbit splittings in low-lying excitation spectra are investigated for $p$-shell $\mathrm{\ensuremath{\Lambda}}$ hypernuclei on the basis of the microscopic structure calculation within the antisymmetrized molecular dynamics, where the $\mathrm{\ensuremath{\Lambda}}N\phantom{\rule{4pt}{0ex}}G$-matrix interaction derived from the baryon-baryon interaction model ESC (extended soft core) is used. It is found that the ground-state spin-parity is systematically reproduced in the $p$-shell $\mathrm{\ensuremath{\Lambda}}$ hypernuclei by tuning the $\mathrm{\ensuremath{\Lambda}}N$ spin-spin and spin-orbit interactions so as to reproduce the experimental data of $_{\mathrm{\ensuremath{\Lambda}}}^{4}\mathrm{H},_{\mathrm{\ensuremath{\Lambda}}}^{7}\mathrm{Li}$, and $_{\mathrm{\ensuremath{\Lambda}}}^{9}\mathrm{Be}$. Furthermore, we also focus on the excitation energies of the excited doublets as well as the energy shifts of them by the addition of a $\mathrm{\ensuremath{\Lambda}}$ particle.