Microscopic calculations of Λ single-particle energies
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 t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier Science
1998
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51663/1/51663.pdf |
| _version_ | 1825930573176111104 |
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| author | Usmani, Qamar N. Bodmer, A. R. |
| author_facet | Usmani, Qamar N. Bodmer, A. R. |
| author_sort | Usmani, Qamar N. |
| collection | UPM |
| description | 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. |
| first_indexed | 2024-03-06T09:13:35Z |
| format | Article |
| id | upm.eprints-51663 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:13:35Z |
| publishDate | 1998 |
| publisher | Elsevier Science |
| record_format | dspace |
| spelling | upm.eprints-516632017-07-04T04:14:40Z http://psasir.upm.edu.my/id/eprint/51663/ Microscopic calculations of Λ single-particle energies Usmani, Qamar N. Bodmer, A. R. 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. Elsevier Science 1998 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51663/1/51663.pdf 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 http://www.sciencedirect.com/science/article/pii/S0375947498002632 10.1016/S0375-9474(98)00263-2 |
| spellingShingle | Usmani, Qamar N. Bodmer, A. R. Microscopic calculations of Λ single-particle energies |
| title | Microscopic calculations of Λ single-particle energies |
| title_full | Microscopic calculations of Λ single-particle energies |
| title_fullStr | Microscopic calculations of Λ single-particle energies |
| title_full_unstemmed | Microscopic calculations of Λ single-particle energies |
| title_short | Microscopic calculations of Λ single-particle energies |
| title_sort | microscopic calculations of λ single particle energies |
| url | http://psasir.upm.edu.my/id/eprint/51663/1/51663.pdf |
| work_keys_str_mv | AT usmaniqamarn microscopiccalculationsoflsingleparticleenergies AT bodmerar microscopiccalculationsoflsingleparticleenergies |