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Microscopic calculations of Λ single-particle energies


Citation

Usmani, Qamar N. and Bodmer, A. R. (1998) Microscopic calculations of Λ single-particle energies. Nuclear Physics A, 639 (1-2). 147c-156c. ISSN 0375-9474; ESSN: 1873-1554

Abstract

A binding energy data for total baryon number A ≤ 208 and for Λ angular momenta ℓΛ ≤ 3 are analyzed in terms of phenomenological (but generally consistent with meson-exchange) ΛN and ΛNN potentials. The Fermi hypernetted chain technique is used to calculate the expectation values for the Λ binding to nuclear matter. Accurate effective ΛN and ΛNN potentials are obtained which are folded with the core-nucleus nucleon densities to calculate the Λ single-particle potential UΛ (r). We use a dispersive ANN potential but also include an explicit ρ dependence to allow for reduced repulsion in the surface, and the best fits have a large ρ dependence giving consistency with the variational Monte Carlo calculations for 5ΛHe. The exchange fraction of the ΛN space-exchange potential is found to be 0.2-0.3 corresponding to m*Λ ≃ (0.74 - 0.82)mΛ. Charge-symmetry breaking is found to be significant for heavy hypernuclei with a large neutron excess, with a strength consistent with that obtained from the A = 4 hypernuclei.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1016/S0375-9474(98)00263-2
Publisher: Elsevier Science
Keywords: Λ single-particle energies; Microscopic calculations
Depositing User: Nabilah Mustapa
Date Deposited: 04 Jul 2017 04:14
Last Modified: 04 Jul 2017 04:14
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/S0375-9474(98)00263-2
URI: http://psasir.upm.edu.my/id/eprint/51663
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