Phenomenological Lambda-Nuclear Interactions

Abstract

Variational Monte Carlo calculations for ${}_{\Lambda }^{4}H$ (ground and excited states) and ${}_{\Lambda }^{5}He$ are performed to decipher information on $\Lambda$-nuclear interactions. Appropriate operatorial nuclear and $\Lambda$-nuclear correlations have been incorporated to minimize the expectation values of the energies. We use the Argonne ${\upsilon }_{18}$ two-body NN along with the Urbana IX three-body NNN interactions. The study demonstrates that a large part of the splitting energy in ${}_{\Lambda }^{4}H$ ($0^{+}-1^{+}$) is due to the three-body $\Lambda$ NN forces. ${}_{\Lambda }^{17}O$ hypernucleus is analyzed using the {\it s}-shell results. $\Lambda$ binding to nuclear matter is calculated within the variational framework using the Fermi-Hypernetted-Chain technique. There is a need to correctly incorporate the three-body $\Lambda$ NN correlations for $\Lambda$ binding to nuclear matter.

arXiv comment18 pages (TeX), 2 figures

References in corpus (6)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The equation of state for nucleon matter and neutron star structure
• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• Three-body correlations in few-body nuclei
• Variational calculations of the $\Lambda$-seperation energy of the ${}_{\Lambda }^{17}$O hypernucleus
• Quantum Monte Carlo Studies of Relativistic Effects in Light Nuclei

Cited by in corpus (5)

• Accurate determination of the interaction between $\Lambda$ hyperons and nucleons from auxiliary field diffusion Monte Carlo calculations
• $\Lambda N$ space-exchange correlation effects in ${}_{\Lambda }^5$He hypernucleus
• From hypernuclei to the Inner Core of Neutron Stars: A Quantum Monte Carlo Study
• Variational Monte-carlo study of ${}_{\Lambda \Lambda }^{4}H$
• Behaviour of the potentials due to strangeness degree of freedom in ${}_{\Lambda \Lambda }^6$He hypernucleus