Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei
Abstract
Correlations between the thickness of the neutron skin in finite nuclei and the nuclear matter symmetry energy are studied in the Skyrme HartreeFock model. From the most recent analysis of the isospin diffusion data in heavyion collisions based on an isospin and momentumdependent transport model with inmedium nucleonnucleon cross sections, a value of L=88{+}25 MeV for the slope of the nuclear symmetry energy at saturation density is extracted, and this imposes stringent constraints on both the parameters in the Skyrme effective interactions and the neutron skin thickness of heavy nuclei. Predicted thickness of the neutron skin is 0.22{+}0.04 fm for {sup 208}Pb, 0.29{+}0.04 fm for {sup 132}Sn, and 0.22{+}0.04 fm for {sup 124}Sn.
 Authors:
 Institute of Theoretical Physics, Shanghai Jiao Tong University, Shanghai 200240 (China)
 (China)
 Cyclotron Institute and Physics Department, Texas A and M University, College Station, Texas 778433366 (United States)
 Department of Chemistry and Physics, P.O. Box 419, Arkansas State University, State University, Arkansas 724670419 (United States)
 Publication Date:
 OSTI Identifier:
 20771086
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 72; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevC.72.064309; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CORRELATIONS; CROSS SECTIONS; DIFFUSION; HARTREEFOCK METHOD; HEAVY ION REACTIONS; ISOSPIN; LEAD 208; MEV RANGE; NEUTRONS; NUCLEAR MATTER; SKIN; SKYRME POTENTIAL; SYMMETRY; THICKNESS; TIN 124; TIN 132; TRANSPORT THEORY
Citation Formats
Chen Liewen, Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, Ko, C.M., and Li Baoan. Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei. United States: N. p., 2005.
Web. doi:10.1103/PhysRevC.72.064309.
Chen Liewen, Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, Ko, C.M., & Li Baoan. Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei. United States. doi:10.1103/PhysRevC.72.064309.
Chen Liewen, Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, Ko, C.M., and Li Baoan. Thu .
"Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei". United States.
doi:10.1103/PhysRevC.72.064309.
@article{osti_20771086,
title = {Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei},
author = {Chen Liewen and Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000 and Ko, C.M. and Li Baoan},
abstractNote = {Correlations between the thickness of the neutron skin in finite nuclei and the nuclear matter symmetry energy are studied in the Skyrme HartreeFock model. From the most recent analysis of the isospin diffusion data in heavyion collisions based on an isospin and momentumdependent transport model with inmedium nucleonnucleon cross sections, a value of L=88{+}25 MeV for the slope of the nuclear symmetry energy at saturation density is extracted, and this imposes stringent constraints on both the parameters in the Skyrme effective interactions and the neutron skin thickness of heavy nuclei. Predicted thickness of the neutron skin is 0.22{+}0.04 fm for {sup 208}Pb, 0.29{+}0.04 fm for {sup 132}Sn, and 0.22{+}0.04 fm for {sup 124}Sn.},
doi = {10.1103/PhysRevC.72.064309},
journal = {Physical Review. C, Nuclear Physics},
number = 6,
volume = 72,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2005},
month = {Thu Dec 15 00:00:00 EST 2005}
}

Expressing explicitly the parameters of the standard Skyrme interaction in terms of the macroscopic properties of asymmetric nuclear matter, we show in the SkyrmeHartreeFock approach that unambiguous correlations exist between observables of finite nuclei and nuclear matter properties. We find that existing data on neutron skin thickness {Delta}r{sub np} of Sn isotopes give an important constraint on the symmetry energy E{sub sym}({rho}{sub 0}) and its density slope L at saturation density {rho}{sub 0}. Combining these constraints with those from recent analyses of isospin diffusion and the double neutron/proton ratio in heavyion collisions at intermediate energies leads to a more stringentmore »

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