Core nucleus polarization in lambda (۸) hypernuclei

The response of the core nucleus to the L in a hypernucleus is studied with a local density approximation. This reproduces the energies and radii of the core nuclei as well as the L-single particle (s.p.) energies quite well. The polarizing effect of the L depends on the core response through an...

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Main Author:	Zaliman, Sauli
Format:	Thesis
Language:	English
Subjects:	Λ hypernuclei Thomas Fermi theory Nucleus Nuclear polarisation
Online Access:	http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/31921/1/Page%201-24.pdf http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/31921/2/Full%20text.pdf
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id	my-unimap-31921
record_format	uketd_dc
spelling	my-unimap-319212014-02-14T01:44:35Z Core nucleus polarization in lambda (۸) hypernuclei Zaliman, Sauli The response of the core nucleus to the L in a hypernucleus is studied with a local density approximation. This reproduces the energies and radii of the core nuclei as well as the L-single particle (s.p.) energies quite well. The polarizing effect of the L depends on the core response through an “effective” compression modulus KA of the nucleus. For certain class of energy functional, KA is found to be almost independent of the compression modulus K of the infinite nuclear matter. This indeed is a surprising result, and at variance with the Hartree-Fock calculations with effective interactions. Reasons for this discrepancy were carefully examined, by considering values of K in the range 100-400 MeV. Furthermore, the polarizing effects also depend critically on D(r), the L binding in nuclear matter at density r. For only a direct LN force: D µr and the core nucleus contracts giving rise to a relatively larger core polarization. However, for a “saturating” D(r) (with a maximum at rm < r0, where r0 is the nuclear matter equilibrium density), which is required to fit the s.p. data, the s-Shell hypernuclei binding energies and the low energy Lp scattering data, and which results from a LN force (including exchange) and LNN forces, there may be an expansion of the nucleus with nucleons flowing from the interior to the surface. This is shown to reduce the core polarization effects substantially (for rm in the neighborhood of r0). The resulting changes in root mean square radius and core energy depend on A, but are mostly very small, justifying their general neglect. The present work thus demonstrates that L can be used as a reliable tool to probe the properties of nuclei. Universiti Malaysia Perlis (UniMAP) 2012 Thesis en http://dspace.unimap.edu.my:80/dspace/handle/123456789/31921 http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/31921/1/Page%201-24.pdf b02b5565e5fa594b085dc026704fba87 http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/31921/2/Full%20text.pdf c6c2f6f031d3ee6f81e8c3188be00c19 http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/31921/3/license.txt 8a4605be74aa9ea9d79846c1fba20a33 Λ hypernuclei Thomas Fermi theory Nucleus Nuclear polarisation School of Microelectronic Engineering
institution	Universiti Malaysia Perlis
collection	UniMAP Institutional Repository
language	English
topic	Λ hypernuclei Thomas Fermi theory Nucleus Nuclear polarisation
spellingShingle	Λ hypernuclei Thomas Fermi theory Nucleus Nuclear polarisation Zaliman, Sauli Core nucleus polarization in lambda (۸) hypernuclei
description	The response of the core nucleus to the L in a hypernucleus is studied with a local density approximation. This reproduces the energies and radii of the core nuclei as well as the L-single particle (s.p.) energies quite well. The polarizing effect of the L depends on the core response through an “effective” compression modulus KA of the nucleus. For certain class of energy functional, KA is found to be almost independent of the compression modulus K of the infinite nuclear matter. This indeed is a surprising result, and at variance with the Hartree-Fock calculations with effective interactions. Reasons for this discrepancy were carefully examined, by considering values of K in the range 100-400 MeV. Furthermore, the polarizing effects also depend critically on D(r), the L binding in nuclear matter at density r. For only a direct LN force: D µr and the core nucleus contracts giving rise to a relatively larger core polarization. However, for a “saturating” D(r) (with a maximum at rm < r0, where r0 is the nuclear matter equilibrium density), which is required to fit the s.p. data, the s-Shell hypernuclei binding energies and the low energy Lp scattering data, and which results from a LN force (including exchange) and LNN forces, there may be an expansion of the nucleus with nucleons flowing from the interior to the surface. This is shown to reduce the core polarization effects substantially (for rm in the neighborhood of r0). The resulting changes in root mean square radius and core energy depend on A, but are mostly very small, justifying their general neglect. The present work thus demonstrates that L can be used as a reliable tool to probe the properties of nuclei.
format	Thesis
author	Zaliman, Sauli
author_facet	Zaliman, Sauli
author_sort	Zaliman, Sauli
title	Core nucleus polarization in lambda (۸) hypernuclei
title_short	Core nucleus polarization in lambda (۸) hypernuclei
title_full	Core nucleus polarization in lambda (۸) hypernuclei
title_fullStr	Core nucleus polarization in lambda (۸) hypernuclei
title_full_unstemmed	Core nucleus polarization in lambda (۸) hypernuclei
title_sort	core nucleus polarization in lambda (۸) hypernuclei
granting_institution	Universiti Malaysia Perlis (UniMAP)
granting_department	School of Microelectronic Engineering
url	http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/31921/1/Page%201-24.pdf http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/31921/2/Full%20text.pdf
_version_	1747836795884666880

Core nucleus polarization in lambda (۸) hypernuclei

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