$\Lambda N$ space-exchange correlation effects in ${}_{\Lambda }^5$He hypernucleus

Abstract

A complete realistic study of ${}_{\Lambda }^5$He hypernucleus is presented using a realistic Hamiltonian and wave function. This study takes into account all relevant dynamical correlations along with $\Lambda N$ space-exchange correlation (SEC). We also compute $\Lambda NN$ force and the corelation induced by this force. The SEC affects the central repulsive $\lambda N$ correlation significantly at $r\le 2.0$ fm, specially at its peak and in its vicinity. SEC significantly affects energy breakdown of the hypernucleus, $\Lambda$-seperation energy, nuclear core (NC) polarization and density profiles. A lage NC polarization is found with and without SEC, respectively. The SEC effect is relatively large in two-pion exchange component of $\Lambda NN$ force. Therefore, any attempt to pin down the strength of this force with no SEC would be flawed.

4 pages, two figures

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• The Hypernuclei ${}_{\Lambda }^4$He and ${}_{\Lambda }^4$H: Challenges for Modern Hyperon-Nucleon Forces
• Ab initio approach to s-shell hypernuclei 3H_Lambda, 4H_Lambda, 4He_Lambda and 5He_Lambda with a Lambda N-Sigma N interaction
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