摘要
The 1st-order symmetry energy coefficient of nuclear matter induced merely by the neutron-proton (n p) mass difference is derived analytically, which turns out to be completely model-independent. Based on this result, (npDM) the 1st-order symmetry energy Esym,1 (A) of heavy nuclei such as 2~spb induced by the np mass difference is investigated with the help of a local density approximation combined with the Skyrme energy density functionals. Although /U(npDM) Esym,1 (A) is small compared with the second-order symmetry energy, it cannot be dropped simply for an accurate estimation of nuclear masses as it is still larger than the rms deviation given by some accurate mass formulas. It is therefore suggested that one perhaps needs to distinguish the neutron mass from the proton one in the construction of nuclear density funetionals.
The 1st-order symmetry energy coefficient of nuclear matter induced merely by the neutron-proton (n p) mass difference is derived analytically, which turns out to be completely model-independent. Based on this result, (npDM) the 1st-order symmetry energy Esym,1 (A) of heavy nuclei such as 2~spb induced by the np mass difference is investigated with the help of a local density approximation combined with the Skyrme energy density functionals. Although /U(npDM) Esym,1 (A) is small compared with the second-order symmetry energy, it cannot be dropped simply for an accurate estimation of nuclear masses as it is still larger than the rms deviation given by some accurate mass formulas. It is therefore suggested that one perhaps needs to distinguish the neutron mass from the proton one in the construction of nuclear density funetionals.
基金
Supported by the National Natural Science Foundation of China under Grant Nos 11405223,11175219,11275271 and 11435014
the National Basic Research Program of China under Grant No 2013CB834405
the Knowledge Innovation Project of Chinese Academy of Sciences under Grant No KJCX2-EW-N01
the Funds for Creative Research Groups of China under Grant No 11321064
the Youth Innovation Promotion Association of Chinese Academy of Sciences
the K.C.Wong Education Foundation
作者简介
Corresponding author. Email: dongjm07@impcas.ac.cn