Low-lying level structure of Λ hypernuclei and spin dependence of the ΛN interaction with antisymmetrized molecular dynamics

Abstract

ΛN spin-spin and spin-orbit splittings in low-lying excitation spectra are investigated for p-shell Λ hypernuclei on the basis of the microscopic structure calculation within the antisymmetrized molecular dynamics, where the ΛN 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 Λ hypernuclei by tuning the ΛN spin-spin and spin-orbit interactions so as to reproduce the experimental data of 4 Λ H, 7 Λ Li and 9 Λ 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 Λ particle.

Spectroscopy of $A=9$ hyperlithium by the $(e,e^{\prime}K^{+})$ reaction

“…It is found that E Λ (#3) is larger than the predicted energies of 7/2 + by a few hundred keV. An E Λ could be larger if a core nucleus is deformed due to a development of clusters because a spatial overlap between the core nucleus and a Λ gets smaller [40]. A cluster model calculation suggests that a He 5 + t structure is more developed for the 3 + state than for the 2 + and 1 + states in 8 Li [41].…”

Isoscalar giant resonances of <inline-formula><tex-math id="M1">\begin{document}$^{{\bf{18}}}_{{\boldsymbol{\Lambda\Lambda}}}{\bf{O}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20231531_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="4-20231531_M1.png"/></alternatives></inline-formula> in relativistic approach

“…效相互作用、Nijmegen微观的软核芯和扩展的软 核芯相互作用以及微观的手征相互作用等 [9][10][11][12][13][14][15] . 它 们被广泛用于适当的核多体理论来研究超核的各 种性质, 如壳层模型、团簇模型、反对称分子动力 学模型、非相对论和相对论平均场模型等 [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] , 反质子引起的两步核反应过程也是多奇异超核产 生的有效机制 [32,33] , 这为未来国内外的超核实验研 究装置提供了理论依据. HIAF装置是中国正在建…”