Variational monte carlo calculations of 5/\He hypernucleus

Abstract

We perform a realistic study of L 5 He hypernucleus using variational Monte Carlo technique. The Hamil- tonian for 4 He nuclear core of the hypernucleus is written using Argonne v18 NN potential and Urbana model-IX NNN potential, where N stands for nucleon. For the strange sector, we use phenomenological LN potential having central, spin, and exchange components and LNN potential which includes spin-dependent dispersive force and two-pion exchange force. Using this Hamiltonian and a fully correlated variational wave function, we reproduce the experimental L binding energy. Without three-body LNN potential in the Hamil- tonian and its corresponding correlation in the wave function, the hypernucleus is overbound by 0.56~4! MeV, which is about a quarter of the previous reported values of 2–3 MeV due to the use of central forces. We present the detailed energy breakdown of the hypernucleus and also show the effect of LNN correlation on it. The one-body density profiles for nucleon and L in the hypernucleus and in its nuclear core have been critically examined. The nuclear core polarization due to presence of L is precisely determined.