Abstract
Based on the relativistic theory in super-strong magnetic fields (SMFs), we investigate the influence of SMFs on beta decay and the change rates of electron fraction (CREF) of nuclei \({}^{59}\mbox{Co}\) in magnetars. Firstly, we find the magnetic fields have a slight influence on the beta decay rates for a given temperature when \(\rho_{7}<1\). However, the beta decay rates decrease greatly by more than five orders of magnitude when \(\rho_{7}>1\). Secondly, our results show that this effect of SMFs can increase beta reaction rates by two orders magnitude when \(10 \leq B_{12} \leq 10^{4}~\mbox{G}\). For instance, the beta decay rate for \({}^{56}\mbox{Co}\) increases from \(4.797\times10^{-3}\) to \(3.284\times10^{-1}\) at \(\rho_{7}=4.32\). Finally, we find that the CREF increases about by two orders of magnitude in SMFs and the enhancement factor will be high as 95.95 for \(\rho_{7}=4.32\).
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Aufderheide, M.B., Brown, G.E., kuo, T.T.S., Stout, D.B., Vogel, P.: Astrophys. J. 362, 241 (1990)
Aufderheide, M.B., Bloom, S.D., Resler, D.A., Mathews, G.J.: Phys. Rev. C 91, 389 (1993)
Aufderheide, M.B., Fushikii, I., Woosely, S.E., Hartmanm, D.H.: Astrophys. J. Suppl. Ser. 91, 389 (1994)
Basilico, D., Pena Arteaga, D., Roca-Maza, X., Colò, G.: Phys. Rev. C 92, 035802 (2015)
Baym, G., Pethick, C., Ann, J.: Rev. Nucl. Sci. 25, 27 (1975)
Bludman, S.A., van Riper, K.A.: Astrophys. J. 224, 631 (1978)
Chamel, N., Haensel, P.: Living Rev. Relativ. 11, 10 (2008)
Cooperstein, J., Wambach, J.: Nucl. Phys. A 420, 591 (1984)
Dai, Z.G., Lu, T., Peng, Q.H.: Astron. Astrophys. 272, 705 (1993)
Du, J., Luo, Z.Q., Li, P.P.: Chin. Phys. C 38, 5102 (2014a)
Du, J., Luo, z.Q., Zhang, J.: Astrophys. Space Sci. 351, 629 (2014b)
Fuller, G.M., Fowler, W.A., Newman, M.J.: Astrophys. J. Suppl. Ser. 48, 279 (1982)
Gao, Z.F., Wang, N., Xu, Y., Li, X.D.: Astron. Nachr. 336, 866 (2015)
Holmes, J.A., Woosley, S.E., Fowler, W.A., Zimmerman, B.A.: At. Data Nucl. Data Tables 18, 305 (1986)
Lai, D.: Rev. Mod. Phys. 73, 629 (2001)
Lai, D.: Space Sci. Rev. 191, 13 (2015)
Landau, L.D., Lifshitiz, E.M.: Quantium Mechanics, 3rd edn., p. 457. Pergamon Press, Oxford (1977)
Langanke, K., Martinez-Pinedo, G.: Phys. Lett. B 436, 19 (1998)
Langanke, K., Martinez-Pinedo, G.: Nucl. Phys. A 673, 481 (2000)
Liu, J.J.: Chin. Phys. C 34, 171 (2010a)
Liu, J.J.: Chin. Phys. C 34, 190 (2010b)
Liu, J.J.: Chin. Phys. B 19, 099601 (2010c)
Liu, J.J.: Mon. Not. R. Astron. Soc. 433, 1108 (2013a)
Liu, J.J.: Chin. Phys. C 37, 51018 (2013b)
Liu, J.J.: Mon. Not. R. Astron. Soc. 438, 930 (2014a)
Liu, J.J.: Res. Astron. Astrophys. 14, 971 (2014b)
Liu, J.J.: Astrophys. Space Sci. 357, 93 (2015)
Liu, J.J.: Res. Astron. Astrophys. 16, 83 (2016)
Liu, J.J., Gu, W.M.: Astrophys. J. Suppl. Ser. 225 (2016). arXiv:1603.01898
Mereghetti, S., Pons, José., Melatos, A.: Space Sci. Rev. 191, 315 (2015)
Peng, Q.H., Tong, H.: Mon. Not. R. Astron. Soc. 1, 159 (2007)
Rahman, M.-U., Nabi, J.-U.: Astrophys. Space Sci. 351, 235 (2014)
Shapiro, S.L., Teukolsky, S.A.: Black Holes, White Dwarfs, and Neutron Stars. Wiley-Interscience, New York (1983)
Yakovlev, D.G., et al.: Phys. Rep. 354, 1 (2001)
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This work was supported in part by the National Natural Science Foundation of China under grants 11565020, and the Natural Science Foundation of Hainan province under grant 114012.
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Liu, JJ., Liu, DM. Influence of super-strong magnetic fields on beta decay of nuclide \({}^{59}\mbox{Co}\) in magnetar surface. Astrophys Space Sci 361, 246 (2016). https://doi.org/10.1007/s10509-016-2830-0
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DOI: https://doi.org/10.1007/s10509-016-2830-0