| NUCLEAR PHYSICS |
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First-Order Symmetry Energy Induced by Neutron–Proton Mass Difference |
| Jian-Min Dong1**, Wei Zuo1, Jian-Zhong Gu2 |
1Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000
2China Institute of Atomic Energy, Beijing 102413
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| Cite this article: |
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Jian-Min Dong, Wei Zuo, Jian-Zhong Gu 2016 Chin. Phys. Lett. 33 102101 |
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Abstract 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, the 1st-order symmetry energy $E_{\rm sym,1}^{({\rm npDM})}(A)$ of heavy nuclei such as $^{208}$Pb induced by the n–p mass difference is investigated with the help of a local density approximation combined with the Skyrme energy density functionals. Although $E_{\rm sym,1}^{({\rm npDM})}(A)$ 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 functionals.
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Received: 08 June 2016
Published: 27 October 2016
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| PACS: |
21.65.Ef
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(Symmetry energy)
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21.65.Cd
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(Asymmetric matter, neutron matter)
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21.60.Jz
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(Nuclear Density Functional Theory and extensions (includes Hartree-Fock and random-phase approximations))
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23.60.+e
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(α-decay)
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| Fund: 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, and the K. C. Wong Education Foundation. |
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