Chin. Phys. Lett.  2019, Vol. 36 Issue (6): 061301    DOI: 10.1088/0256-307X/36/6/061301
THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
Nucleonic $^{1}S_{0}$ Superfluidity Induced by a Soft Pion in Neutron Star Matter with Antikaon Condensations
Yan Xu1,2, Qi-Jun Zhi2, Yi-Bo Wang1, Xiu-Lin Huang1**, Wen-Bo Ding3, Zi Yu4, Cheng-Zhi Liu1**
1Changchun Observatory, National Astronomical Observatories, Chinese Academy of Sciences, Changchun 130117
2Guizhou Provincial Key Laboratory of Radio Astronomy and Data Processing, Guiyang 550025
3College of Mathematics and Physics, Bohai University, Jinzhou 121000
4College of Science, Nanjing Forestry University, Nanjing 210037
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Yan Xu, Qi-Jun Zhi, Yi-Bo Wang et al  2019 Chin. Phys. Lett. 36 061301
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Abstract The nucleonic $^{1}S_{0}$ superfluidity is investigated by solving the gap equation for the Reid soft-core potential as the nucleon–nucleon interaction in neutron star (NS) matter which is considered to be made up of n, p, e, $\mu$ and condensed antikaon matter. We mainly study the influence of the soft pion-induced potential on the nucleonic $^{1}S_{0}$ pairing gaps in the above NS matter. It is found that the intensities of the nucleonic $^{1}S_{0}$ pairing gaps including the soft pion-induced potential are smaller than those calculated in the case of not including the soft pion-induced potential. Furthermore, the nucleonic $^{1}S_{0}$ pairing gaps with the soft pion-induced potential fall into decline with the deepening of the optical potential of antikaons in the above NS matter, whereas they increase with the parameter $\eta$ for the fixed optical potential of antikaons. Due to the appearance of the soft pion-induced potential, the maximum values of nucleonic $^{1}S_{0}$ pairing gaps at parameter $\eta=0.20, 0.55$ are suppressed by 1.7%–6.8% with respect to the case without soft pion-induced potential in the above NS matter.
Received: 18 January 2019      Published: 18 May 2019
PACS:  13.75.Cs  
  26.60.Dd (Neutron star core)  
  26.60.Gj (Neutron star crust)  
Fund: Supported by the Open Foundation of Guizhou Provincial Key Laboratory of Radio Astronomy and Data Processing, the Youth Innovation Promotion Association of the Chinese Academy of Sciences under Grant No 2016056, the Development Project of Science and Technology of Jilin Province under Grant No 20180520077JH, and the National Natural Science Foundation of China under Grant Nos 11805022 and 11803057.
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https://cpl.iphy.ac.cn/10.1088/0256-307X/36/6/061301       OR      https://cpl.iphy.ac.cn/Y2019/V36/I6/061301
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Yan Xu
Qi-Jun Zhi
Yi-Bo Wang
Xiu-Lin Huang
Wen-Bo Ding
Zi Yu
Cheng-Zhi Liu
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