Influence of super-strong magnetic field on the electron chemical potential and β decay in the stellar surroundings

  • In this paper, considering the quantum effect of electrons in a super-strong magnetic field, the influence of a super-strong magnetic field on the chemical potential of a non-zero temperature electron is analyzed, the rates of β decay under the super-strong magnetic field are studied, and then we compare them with the case without a magnetic field. Here, the nucleus 63Co is investigated in detail as an example. The results show that a magnetic field that is less than 1010T has little effect on the electron chemical potential and β decay rates, but the super-strong magnetic field that is greater than 1010T depresses the electron chemical potential and improves the β decay rates clearly.

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  • [1] YUAN Ye-Fei.Phys.Rev.D,2005,72(1):013007[2] QIAN Yong-Zhong.Astrophys.J,2000,534(1):67-70[3] Aufderheide M B,Brown G E,Kuo T T S et al.Astrophys.J,1990,362:241-250[4] Fuller G M,Fowler W A,Newman M J.Astrophys.J.S,1980,42:447-473[5] Aufderhcide M B,Fushiki I,Woosley S E et al.Astrophys.J.S,1994,91(1):389-417[6] Juodagalvis A,Langanke K,Martínez-Pinedo G et al.Nucl.Phys.A,2005,747(1):87-108[7] Langanke K,Martinez-Pinedo G.Nucl.Phys.A,2000,673(1-4):481-508[8] Kouzakov K A,Studenikin A I.Phys.Rev.C,2005,72(1):015502[9] Shapiro S L,Teukolsky S A.Black Holes,White Dwarfs and Neutron Stars:the Physics of Compact Objects.New York:Wiley Press,1983[10] Fassio-Canuto L.Phys.Rev.,1969,187(5):2141-2146[11] ZHANG Jie,LIU Men-Quan,LUO Zhi-Quan.Chin.Phys.,2006,15(7):1477-1480[12] ZHANG Jie,LIU Men-Quan,LUO Zhi-Quan.Commun.Theor.Phys.,2007,47(4):765-768[13] LUO Zhi-Quan,PENG Qiu-He.Acta.Astro.Sin.,1996,37(4):430-436(in Chinese)[14] Kar K,Ray A,Sarkar S.Astrophys J,1994,434(2):662-683
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LIU Wei-Wei, LUO Zhi-Quan, ZHANG Jie, GAO Jie and BIAN Gang. Influence of super-strong magnetic field on the electron chemical potential and β decay in the stellar surroundings[J]. Chinese Physics C, 2010, 34(8): 1090-1093. doi: 10.1088/1674-1137/34/8/010
LIU Wei-Wei, LUO Zhi-Quan, ZHANG Jie, GAO Jie and BIAN Gang. Influence of super-strong magnetic field on the electron chemical potential and β decay in the stellar surroundings[J]. Chinese Physics C, 2010, 34(8): 1090-1093.  doi: 10.1088/1674-1137/34/8/010 shu
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Received: 2009-11-30
Revised: 2010-01-04
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Influence of super-strong magnetic field on the electron chemical potential and β decay in the stellar surroundings

    Corresponding author: LIU Wei-Wei,

Abstract: 

In this paper, considering the quantum effect of electrons in a super-strong magnetic field, the influence of a super-strong magnetic field on the chemical potential of a non-zero temperature electron is analyzed, the rates of β decay under the super-strong magnetic field are studied, and then we compare them with the case without a magnetic field. Here, the nucleus 63Co is investigated in detail as an example. The results show that a magnetic field that is less than 1010T has little effect on the electron chemical potential and β decay rates, but the super-strong magnetic field that is greater than 1010T depresses the electron chemical potential and improves the β decay rates clearly.

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