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Few-Body Aspects of Hypernuclear Physics

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Abstract

Recent development in the study of the structure of light Λ and double Λ hypernuclei is reviewed from the view point of few-body problems and interactions between the constituent particles. In the study the present author and collaborators employed Gaussian expansion method for few-body calculations; the method has been applied to many kinds of few-body systems in the fields of nuclear physics and exotic atomic/molecular physics. We reviewed the following subjects studied using the method: (1) Precise three- and four-body calculations of \({^7_{\Lambda}{\rm He}}\) , \({^7_{\Lambda}{\rm Li}}\) , \({^7_{\Lambda}{\rm Be}}\) , \({^8_{\Lambda}{\rm Li}}\) , \({^8_{\Lambda}{\rm Be}}\) , \({^9_{\Lambda}{\rm Be}}\) , \({^{10}_{\Lambda}{\rm Be}}\) , \({^{10}_{\Lambda}{\rm B}}\) and \({^{13}_{\Lambda}{\rm C}}\) provide important information on the spin structure of the underlying Λ N interaction by comparing the calculated results with the recent experimental data by γ-ray hypernuclear spectroscopy. (2) The Λ-Σ coupling effect was investigated in \({^4_{\Lambda}{\rm H}}\) and \({^4_{\Lambda}{\rm He}}\) on the basis of the N + N + N + Λ (Σ) four-body model. (3) A systematic study of double-Λ hypernuclei and the Λ Λ interaction, based on the NAGARA event data (\({^6_{\Lambda\Lambda}{\rm He}}\)), was performed within the α + x + Λ + Λ cluster model (x = n, p, d, t,3He and α) and α + α + n + Λ + Λ cluster model, (4) The Demachi-Yanagi event was interpreted as observation of the 2+ state of \({^{10}_{\Lambda \Lambda}{\rm Be}}\) , (5) The Hida event was interpreted as observation of the ground state of \({^{11}_{\Lambda \Lambda}{\rm Be}}\) .

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    Emiko Hiyama

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Hiyama, E. Few-Body Aspects of Hypernuclear Physics. Few-Body Syst 53, 189–236 (2012). https://doi.org/10.1007/s00601-011-0296-8

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