Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2009-11-20
Phys.Rev.C80:054321,2009
Physics
Nuclear Physics
Nuclear Theory
12 pages, 9 figures, To be published in Phys. Rev. C
Scientific paper
10.1103/PhysRevC.80.054321
The structure of the T=1 iso-triplet hypernuclei, $^7_{\Lambda}$He, $^7_{\Lambda}$Li and $^7_{\Lambda}$Be within the framework of an $\alpha +\Lambda +N+N$ four-body cluster model is studied. Interactions between the constituent subunits are determined so as to reproduce reasonably well the observed low-energy properties of the $\alpha N$, $\alpha \Lambda$, $\alpha NN$ and $\alpha \Lambda N$ subsystems. Furthermore, the two-body $\Lambda N$ interaction is adjusted so as to reproduce the $0^+$-$1^+$ splitting of $^4_{\Lambda}$H. Also a phenomenological $\Lambda N$ charge symmetry breaking(CSB) interaction is introduced. The $\Lambda$ binding energy of the ground state in $^7_{\Lambda}$He is predicted to be 5.16(5.36) MeV with(without) the CSB interaction. The calculated energy splittings of the $3/2^+$-$5/2^+$ states in $^7_{\Lambda}$He and $^7_{\Lambda}$Li are around 0.1 MeV. We point out that there is a three-layer structure of the matter distribution, $\alpha$ particle, $\Lambda$ skin, proton or neutron halo, in the $^7_{\Lambda}{\rm He}(J=5/2^+)$, $^7_{\Lambda}{\rm Li}(J=5/2^+)$ and $^7_{\Lambda}{\rm Be}(J=1/2^+)$ states.
Hiyama Emiko
Kamimura Masayasu
Motoba Tetsuo
Yamamoto Yasufumi
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