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Four-body structure of $^7_{\Lambda}$Li and $\Lambda N$ spin-dependent interaction
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abstract
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.
Forward citations
Cited by 1 Pith paper
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On three-cluster resonance structure of hypernuclei $_{\Lambda}^{7}$He, $_{\Lambda}^{7}$Li and $_{\Lambda}^{7}$Be
A three-cluster model predicts many narrow and broad resonance states, including states with widths below 10 keV, in the hypernuclei 7ΛHe, 7ΛLi and 7ΛBe.
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