Nuclear Science and Techniques

《核技术》(英文版) ISSN 1001-8042 CN 31-1559/TL     2018 Impact factor 0.961

Nuclear Science and Techniques ›› 2017, Vol. 28 ›› Issue (12): 181 doi: 10.1007/s41365-017-0336-2

Special Issue: Special Section on the Celebration of Prof. Nauowitz's 80th Birthday

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How tightly is the nuclear symmetry energy constrained by a unitary Fermi gas?

Nai-Bo Zhang 1,2 , Bao-Jun Cai 1,3,4 , Bao-An Li 1 , William G. Newton 1 , Jun Xu 5   

  1. 1 Department of Physics and Astronomy, Texas A&M University-Commerce, Commerce, TX 75429, USA
    2 Shandong Provincial Key Laboratory of Optical Astronomy and Solar-Terrestrial Environment, Institute of Space Sciences, Shandong University, Weihai 264209, China
    3 Department of Physics, Shanghai University, Shanghai 200444, China
    4 Department of Physics and Astronomy, Shanghai Key Laboratory for Particle Physics and Cosmology, Shanghai Jiao Tong University, Shanghai 200240, China
    5 Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
  • Contact: Bao-An Li E-mail:Bao-An.Li@tamuc.edu
  • Supported by:

    NBZ is supported in part by the China Scholarship Council. BAL acknowledges the U.S. Department of Energy, Office of Science, under Award Number DE-SC0013702, the CUSTIPEN (China-U.S. Theory Institute for Physics with Exotic Nuclei) under the US Department of Energy Grant No. DE-SC0009971, the National Natural Science Foundation of China under Grant No. 11320101004 and the Texas Advanced Computing Center. JX is supported in part by the Major State Basic Research Development Program (973 Program) of China under Contract Nos. 2015CB856904 and 2014CB845401, the National Natural Science Foundation of China under Grant Nos. 11475243 and 11421505, the ‘‘100-talent plan’’ of Shanghai Institute of Applied Physics under Grant Nos. Y290061011 and Y526011011 from the Chinese Academy of Sciences, the Shanghai Key Laboratory of Particle Physics and Cosmology under Grant No. 15DZ2272100, and the Shanghai Pujiang Program under Grant No. 13PJ1410600.

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Nai-Bo Zhang, Bao-Jun Cai, Bao-An Li, William G. Newton, Jun Xu. How tightly is the nuclear symmetry energy constrained by a unitary Fermi gas?.Nuclear Science and Techniques, 2017, 28(12): 181     doi: 10.1007/s41365-017-0336-2

Abstract:

We examine critically how tightly the density dependence of nuclear symmetry energy Esym(ρ) is constrained by the universal equation of state of the unitary Fermi gas EUG(ρ) considering currently known uncertainties of higher order parameters describing the density dependence of the equation of state of isospin asymmetric nuclear matter. We found that EUG(ρ) does provide a useful lower boundary for the Esym(ρ) . However, it does not tightly constrain the correlation between the magnitude Esym(ρ0) and slope L unless the curvature KsymKsym of the symmetry energy at saturation density ρ0ρ0 is more precisely known. The large uncertainty in the skewness parameters affects the Esym(ρ0) versus L correlation by the same almost as significantly as the uncertainty in Ksym .

Key words: Symmetry energy, Unitary gas, Equation of state, Nuclear matter