Abstract
The nuclear binding energy with emphasis on the symmetry energy is studied using a finite temperature density functional theory. A Skyrme interaction is used in this work. Volume, surface, and symmetry energy contributions to the binding energy are investigated. The case of neutron skin is considered in detail. The ratio of the surface symmetry energy to the volume symmetry energy for the neutron-skin-dependent part is much larger than the corresponding ratio for the neutronskin-independent part. This shows that a large part of the surface symmetry energy comes from the different sizes of the neutron and the proton distributions. The neutron-skin-size-dependent parts of the symmetry energy coefficients have the same sign as the neutron-skin-independent parts, which indicates that a larger neutron skin causes a lager symmetry energy.
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References
C. F. Weizsacker, Z. Phys. 96, 431 (1935)
A. Bohr and B. R. Mottelson, Nuclear Structure, (Benjamin, New York, 1969), Vol I.
H. A. Bethe and R. F. Bacher, Rev. Mod. Phys. 8, 82 (1936).
M. A. Preston and R. K. Bhaduri, Structure of the Nucleus (Addison Wesley, Reading, MA, 1975).
M. B. Tsang et al., Prog. Part. Nucl. Phys. 66, 400 (2011).
M. B. Tsang, Y. Zhang, P. Danielewicz, M. Famiano, Z. Li, W. G. Lynch and A. W. Steiner, Phys. Rev. Lett. 102, 122701 (2009)
E. Galichet et al., Phys. Rev. C79, 064614 (2009).
A. W. Steiner, M. Prakash, J. M. Lattimer and P. J. Ellis, Phys. Rep. 411, 325 (2005).
A. Z. Mekjian and W. M. MacDonald, Nucl. Phys. A121, 385 (1968).
A. Z. Mekjian, Phys. Rev. Lett. 25, 888 (1970).
H. Koura, T. Uno, T. Tachibana and M. Yamada, Prog. Theo. Phys. 113, 305 (2005).
P. Danielewicz and J. Lee, Int. J. Mod. Phys. E18, 829 (2009) (Nucl. Phys. A818, 36 (2009)).
S. J. Lee and A. Z. Mekjian, Phys. Rev. C82, 064319 (2010).
S. J. Lee and A. Z. Mekjian, Phys. Rev. C79, 044323 (2009).
S. J. Lee and A. Z. Mekjian, Phys. Rev. C77, 054612 (2008).
S. J. Lee and A. Z. Mekjian, Phys. Lett. 580, 137 (2004).
S. J. Lee and A. Z. Mekjian, Phys. Rev. C68, 014608 (2003).
W. D. Myers, W. J. Swiatecki, Nucl. Phys. A81, 1 (1966).
W. D. Myers, W. J. Swiatecki, Ann. Phys. 55, 395 (1969).
W. D. Myers, W. J. Swiatecki, Ann. Phys. 84, 186 (1974).
W. D. Myers, Droplet Model of Atomic Nuclei (IFI/Plenum, New York, 1975).
M. Centelles and X. Viñas, Nucl. Phys. A563, 173 (1993).
N. Wang, M. Liu and X. Wu, Phys. Rev. C81, 044322 (2010).
M. Brack, C. Guet and H.-B. Hakansson, Phys. Rep. 123, 275 (1985).
E. Suraud, Nucl. Phys. A462, 109 (1987).
A. Trzcińska, J. Jastrzębski, P. Lubiński, F. J. Hartmann, R. Schmidt, T. von Egidy and B. Klos, Phys. Rev. Lett. 87, 082501 (2001).
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Lee, S.J., Mekjian, A.Z. Neutron skin size dependence of the nuclear symmetry energy. Journal of the Korean Physical Society 62, 1600–1609 (2013). https://doi.org/10.3938/jkps.62.1600
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DOI: https://doi.org/10.3938/jkps.62.1600