Four-body structure of $^7_Λ$Li and $ΛN$ spin-dependent interaction

Details Four-body structure of $^7_Λ$Li and $ΛN$ spin-dependent interaction Four-body structure of $^7_Λ$Li and $ΛN$ spin-dependent interaction

2006-10-06

arxiv.org/abs/nucl-th/0610019v1

Phys.Rev.C74:054312,2006

Physics

Nuclear Physics

Nuclear Theory

6 pages, 2 figures, published to be in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.74.054312

Two spin-doublet states of %$3/2^+$-$1/2^+$ and $7/2^+$-$5/2^+$ in $^7_{\Lambda}$Li are studied on the basis of the $\alpha +\Lambda +n+p$ four-body model. We employ the two-body interactions which reproduce the observed properties of any subsystems composed of $\alpha N$, $\alpha \Lambda$ and $\alpha NN$, and $\alpha \Lambda N$. Furthermore, the $\Lambda N$ interaction is adjusted so as to reproduce the $0^+$-$1^+$ splitting of in $^4_{\Lambda}$H. The calculated energy splittings of $3/2^+$-$1/2^+$ and $7/2^+$-$5/2^+$ states in $^7_{\Lambda}$Li are 0.69 MeV and 0.46 MeV, which are in good agreement with the resent observed data. The spin-dependent components of the $\Lambda N$ interaction are discussed.

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