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《中国物理C》(英文)编辑部
2024年10月30日

Exploring nuclear symmetry energy with isospin dependence in neutron skin thickness of nuclei

  • We propose an alternative way to constrain the density dependence of the symmetry energy from the neutron skin thickness of nuclei which shows a linear relation to both the isospin asymmetry and the nuclear charge with a form of Z2/3. The relation of the neutron skin thickness to the nuclear charge and isospin asymmetry is systematically studied with the data from antiprotonic atom measurement, and with the extended Thomas-Fermi approach incorporating the Skyrme energy density functional. An obviously linear relationship between the slope parameter L of the nuclear symmetry energy and the isospin asymmetry dependent parameter of the neutron skin thickness can be found, by adopting 70 Skyrme interactions in the calculations. Combining the available experimental data, the constraint of -20 MeV L 82 MeV on the slope parameter of the symmetry energy is obtained. The Skyrme interactions satisfying the constraint are selected.
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  • [1] Tsang M B, ZHANG Y X, Danielewicz P et al. Phys. Rev. Lett., 2009, 102: 122701-1-42 CHEN L W, Ko C M, LI B A. Phys. Rev. Lett., 2005,94: 032701-1-43 LI B A, CHEN L W, Ko C M. Phys. Rep., 2008, 464: 113-2814 Shetty D V, Yennello S J, Souliotis G A. Phys. Rev. C, 2007, 76: 024606-1-155 Famiano M A , LIU T, Lynch W G et al. Phys. Rev. Lett., 2006, 97: 052701-1-46 Furnstahl R J. Nucl. Phys. A, 2002, 706: 85-1107 Avancini S S, Marinelli J R, Menezes D P et al. Phys. Rev. C, 2007, 75: 055805-1-118 Baldo M, Maierona C, Schuckb P et al. Nucl. Phys. A, 2004, 736: 241-2549 Ray L. Phys. Rev. C, 1979, 19: 1855-187210 Kelly J J, Khandaker M A, Boberg P et al. Phys. Rev. C, 1991, 44: 1963-197711 Stradubski V E, Hintz N M. Phys. Rev. C, 1994, 49: 2118-213512 Takahashi T. PhD Thesis, University of Tokyo, 1995, un- published13 Jastrzebski J, Trzcinska A, Lubinski P. Int. J. Mod. Phys. E, 2004, 13: 343-35114 Trzcinska A, Jastrzebski J, Lubinski P. Phys. Rev. Lett., 2001, 87: 82501-1-415 Lubinski P, Jastrzebski J, Grochulska A et al. Phys. Rev. Lett., 1994, 73: 3199-320216 Krasznahorkay A, Bacelar J, Bordewijk J A et al. Phys. Rev. Lett., 1991, 66: 1287-129017 Krasznahorkay A, Akimune H et al. Nucl. Phys. A, 2004, 731: 224-23418 Gaarde C et al. Nucl. Phys. A, 1981, 369: 25819 Angeli I et al. J. Phys. G, 1980, 6: 30320 Centelles M, Mazaet X R, Vinas X et al. Phys. Rev. Lett., 2009, 102: 122502-1-421 Brack M, Guet C, Hakansson H B. Phys. Rep., 1985, 123: 275-36422 LIU M, WANG N, LI Z X et al. Nucl. Phys. A, 2006, 768: 80-9823 Centelles M et al. Nucl. Phys. A, 1990, 510: 39724 Bartel J et al. Eur. Phys. J. A, 2002, 14: 17925 LIU M, WANG N, LI Z X et al. Chin. Phys. Lett., 2006, 23: 804-807
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LIU Min, LI Zhu-Xia, WANG Ning and ZHANG Feng-Shou. Exploring nuclear symmetry energy with isospin dependence in neutron skin thickness of nuclei[J]. Chinese Physics C, 2011, 35(7): 629-634. doi: 10.1088/1674-1137/35/7/006
LIU Min, LI Zhu-Xia, WANG Ning and ZHANG Feng-Shou. Exploring nuclear symmetry energy with isospin dependence in neutron skin thickness of nuclei[J]. Chinese Physics C, 2011, 35(7): 629-634.  doi: 10.1088/1674-1137/35/7/006 shu
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Received: 2010-03-14
Revised: 2010-10-26
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Exploring nuclear symmetry energy with isospin dependence in neutron skin thickness of nuclei

Abstract: We propose an alternative way to constrain the density dependence of the symmetry energy from the neutron skin thickness of nuclei which shows a linear relation to both the isospin asymmetry and the nuclear charge with a form of Z2/3. The relation of the neutron skin thickness to the nuclear charge and isospin asymmetry is systematically studied with the data from antiprotonic atom measurement, and with the extended Thomas-Fermi approach incorporating the Skyrme energy density functional. An obviously linear relationship between the slope parameter L of the nuclear symmetry energy and the isospin asymmetry dependent parameter of the neutron skin thickness can be found, by adopting 70 Skyrme interactions in the calculations. Combining the available experimental data, the constraint of -20 MeV L 82 MeV on the slope parameter of the symmetry energy is obtained. The Skyrme interactions satisfying the constraint are selected.

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