TY - JOUR
T1 - A beyond-mean-field model for Λ hypernuclei with Skyrme-type NΛ interaction
AU - Cui, Ji Wei
AU - Zhou, Xian Rong
N1 - Publisher Copyright:
© The Author(s) 2017.
PY - 2017/9/1
Y1 - 2017/9/1
N2 - A beyond-mean-field approach based on the Skyrme-Hartree-Fock model is derived and implemented for 13 ΔC and 21ΔNe. The Skyrme force with the SLy4 parameter set is used for NN interaction, and a recently updated Skyrme-type parameter set, SLL4, is employed for NΔinteraction. The hyperonic spin-orbit force is also included to reproduce the spin-orbit splitting of single-particle energy levels and the no-crossing rule. Properties of different configurations, such as 12C⊗Δ[000]1/2+, 12C⊗Δ[110]1/2-, 12C⊗Δ[101]3/2-, and 12C⊗Δ[101]1/2- are discussed. Low-lying energy spectra of 13 ΔC, including both positive- and negative-parity levels, are presented and compared to the observed data. It is shown that this current model precisely reproduces the observed positive-parity energy level with the configuration [12Cg.s.(2+)⊗sΔ]. The two observed negative-parity levels, [12Cg.s.(0+)⊗(p1/2)Δ] and [12Cg.s.(0+)⊗(p3/2)Δ], are also successfully reproduced but with reversed order. Energy spectra of 21 ΔNe are also presented and compared to the results of a beyond relativistic mean-field model; except for some details, the two models give similar results.
AB - A beyond-mean-field approach based on the Skyrme-Hartree-Fock model is derived and implemented for 13 ΔC and 21ΔNe. The Skyrme force with the SLy4 parameter set is used for NN interaction, and a recently updated Skyrme-type parameter set, SLL4, is employed for NΔinteraction. The hyperonic spin-orbit force is also included to reproduce the spin-orbit splitting of single-particle energy levels and the no-crossing rule. Properties of different configurations, such as 12C⊗Δ[000]1/2+, 12C⊗Δ[110]1/2-, 12C⊗Δ[101]3/2-, and 12C⊗Δ[101]1/2- are discussed. Low-lying energy spectra of 13 ΔC, including both positive- and negative-parity levels, are presented and compared to the observed data. It is shown that this current model precisely reproduces the observed positive-parity energy level with the configuration [12Cg.s.(2+)⊗sΔ]. The two observed negative-parity levels, [12Cg.s.(0+)⊗(p1/2)Δ] and [12Cg.s.(0+)⊗(p3/2)Δ], are also successfully reproduced but with reversed order. Energy spectra of 21 ΔNe are also presented and compared to the results of a beyond relativistic mean-field model; except for some details, the two models give similar results.
UR - https://www.scopus.com/pages/publications/85029722471
U2 - 10.1093/ptep/ptx120
DO - 10.1093/ptep/ptx120
M3 - 文章
AN - SCOPUS:85029722471
SN - 2050-3911
VL - 2017
JO - Progress of Theoretical and Experimental Physics
JF - Progress of Theoretical and Experimental Physics
IS - 9
M1 - 093D04
ER -