Binding Energy of aΛParticle in Nuclear Matter

Abstract

The binding energy of a $\Lambda$ particle in nuclear matter, $B_{\Lambda }\left(\infty \right)$, is calculated using a $\Lambda$-nucleon two-body potential with a hard core, which reproduces the binding energies of light hypernuclei and the $\Lambda$-nucleon scattering at intermediate energies. The simplified version of the Brueckner theory used in previous calculations is applied. The effective mass of the $\Lambda$ particle, ${M_{\Lambda }}^{*}$, is estimated to be about $0.9 M_{\Lambda }$. The rearrangement energy is included in the calculation. The result obtained, $B_{\Lambda }\left(\infty \right)\approx 31$ MeV, is in good agreement with the measured value.