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Title: Isoscalar and Isovector Giant Resonances in Closed Shells Nuclei and Bulk Properties of Nuclear Matter

Abstract

Centroid energies, ECEN, of the isoscalar (T = 0) and isovector (T = 1) giant resonances of multipolarities L = 0 – 3 in 40,48Ca, 68Ni, 90Zr, 116Sn, 144Sm and 208Pb, were calculated within the fully self-consistent spherical Hartree-Fock (HF)-based random phase approximation (RPA) theory, using 33 different energy density functionals associated with Skyrme-type effective nucleon-nucleon interactions of the standard form commonly employed in the literature. Here, we also calculate the Pearson linear correlation coefficients between each ECEN and each bulk property of nuclear matter (NM), associated with the Skyrme interactions used in the calculations, and determine the sensitivity of ECEN to bulk properties of NM. By comparing the calculated values of ECEN to the experimental data, we constrain the values of the bulk NM properties. We find that interactions associated with the values of the NM effective mass, m* / m = 0.70 to 0.90, incompressibility coefficient, KNM = 210 to 240 MeV, and the enhancement coefficient of the energy weighted sum rule of the isovector giant dipole resonance, κ = 0.25 to 0.70, best reproduce the experimental data.

Authors:
 [1]
  1. Texas A & M Univ., College Station, TX (United States)
Publication Date:
Research Org.:
Texas A & M Univ., College Station, TX (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1779838
Grant/Contract Number:  
FG02-93ER40773
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Atomic Nuclei
Additional Journal Information:
Journal Volume: 83; Journal Issue: 4; Journal ID: ISSN 1063-7788
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Shlomo, S. Isoscalar and Isovector Giant Resonances in Closed Shells Nuclei and Bulk Properties of Nuclear Matter. United States: N. p., 2020. Web. doi:10.1134/s1063778820040183.
Shlomo, S. Isoscalar and Isovector Giant Resonances in Closed Shells Nuclei and Bulk Properties of Nuclear Matter. United States. https://doi.org/10.1134/s1063778820040183
Shlomo, S. Sat . "Isoscalar and Isovector Giant Resonances in Closed Shells Nuclei and Bulk Properties of Nuclear Matter". United States. https://doi.org/10.1134/s1063778820040183. https://www.osti.gov/servlets/purl/1779838.
@article{osti_1779838,
title = {Isoscalar and Isovector Giant Resonances in Closed Shells Nuclei and Bulk Properties of Nuclear Matter},
author = {Shlomo, S.},
abstractNote = {Centroid energies, ECEN, of the isoscalar (T = 0) and isovector (T = 1) giant resonances of multipolarities L = 0 – 3 in 40,48Ca, 68Ni, 90Zr, 116Sn, 144Sm and 208Pb, were calculated within the fully self-consistent spherical Hartree-Fock (HF)-based random phase approximation (RPA) theory, using 33 different energy density functionals associated with Skyrme-type effective nucleon-nucleon interactions of the standard form commonly employed in the literature. Here, we also calculate the Pearson linear correlation coefficients between each ECEN and each bulk property of nuclear matter (NM), associated with the Skyrme interactions used in the calculations, and determine the sensitivity of ECEN to bulk properties of NM. By comparing the calculated values of ECEN to the experimental data, we constrain the values of the bulk NM properties. We find that interactions associated with the values of the NM effective mass, m* / m = 0.70 to 0.90, incompressibility coefficient, KNM = 210 to 240 MeV, and the enhancement coefficient of the energy weighted sum rule of the isovector giant dipole resonance, κ = 0.25 to 0.70, best reproduce the experimental data.},
doi = {10.1134/s1063778820040183},
journal = {Physics of Atomic Nuclei},
number = 4,
volume = 83,
place = {United States},
year = {Sat Sep 12 00:00:00 EDT 2020},
month = {Sat Sep 12 00:00:00 EDT 2020}
}

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