Possible Existence of Light Σ Hypernuclei

概要

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The possible existence of light Σ hypernuclei is discussed together with their general binding mechanism. The coupling between the isotriplet Σ particle (Σ^+, Σ^0 and Σ^-) and the corresponding nuclear core isomultiplet and supermultiplet which comes from the strong isospin dependent and isospin-spin dependent terms of Σ-N interaction plays a crucial role to produce bound states of light Σ hypernuclei. It is found that 1) an almost pure isospin 1/2 bound (ground) state appears in ^<4>_<Σ>He mainly due to the cooperative contribution of the (t_N・T_Σ) and (t_N・T_Σ)(s_N・s_Σ) terms of Σ-N interaction, and 2) an isospin-breaking bound (ground) state appears in ^<7>_<Σ>Li mainly dur to the (t_N・t_Σ)(s_N・S_Σ) term of Σ-N interaction. We discuss in detail the different binding mechanism between ^<4>_<Σ>He and ^<7>_<Σ>Li and propose a threshold rule for the formation of bound Σ hypernuclear states. From the viewpoint of the threshold rule, the possible existence of other typical light Σ hypernuclei, ^<7>_<Σ>H, ^<9>_<Σ>Be and ^<11>_<Σ>B are investigated together with their binding mechanism on the same footing as ^<4>_<Σ>He and ^<7>_<Σ>Li.
理論物理学刊行会の論文
1995-03-31