$^{6}_{ΛΛ}$He as a $ΛΛ$ interaction constraint

Details $^{6}_{ΛΛ}$He as a $ΛΛ$ interaction constraint $^{6}_{ΛΛ}$He as a $ΛΛ$ interaction constraint

1997-09-04

arxiv.org/abs/nucl-th/9709003v1

Nucl.Phys.A625:143-166,1997

Physics

Nuclear Physics

Nuclear Theory

27 pages,2 eps figures

Scientific paper

10.1016/S0375-9474(97)00480-6

The Nijmegen OBE potential D is SU(3) rotated to model the strangeness -2 sector of the baryon-baryon force. Soft core repulsion is introduced to regularize the singular nature of the OBE functions. The strength of the $^1$S$_0$ $t=0$ interaction is adjusted to model three scenarios: (1) a bound state, (2) a narrow virtual, or antibound, state, and (3) an unbound state in which the force is weakly attractive. Using a separable approximation to these potentials, the binding energy of $^{6}_{\Lambda\Lambda}$He is calculated in an $\Lambda\Lambda\alpha$ model. The resultant binding energies suggest that the strength of the $^1$S$_0$ $t=0$ $\Lambda\Lambda$ and the $nn$ interactions should be similar, if the coupling between the $\Lambda\Lambda$ and $\Xi N$ channels is taken into consideration.

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