Document Type : Final File
Author
Department of physics, Faculty of Sciences, Ilam University, P.O.Box:516-69315, Islamic Republic of Iran
Abstract
One of the most important reactions of the URCA that lead to the cooling of a neutron star, is neutron beta-decay ( ). In this research, the energy spectra and wave functions of massive fermions taking into account the Anomalous Magnetic Moment (AMM) in the presence of a strong changed magnetic field are calculated. For this purpose, the Dirac-Pauli equation for charged and neutral fermions is solved by Perturbation and Frobenius series method, respectively. The results of the Frobenius series method are in good agreement with the results of Nikiforov-Uvarov method (NU). In continuous, using the calculated wave functions, the general relation of neutron decay cross-section in the non-relativistic limit has been obtained. This relation has been derived by the four-fermion Lagrangian within the framework of the standard model of weak interactions. These calculations from the perspective of nuclear astrophysics can be important.
Keywords
Main Subjects
- Kauts V. L., Savochkin A.M., and Studenikin A. I. Asymmetry of Neutrino Emission from Neutron Beta Decay in Superdense Matter and a Strong Magnetic Field, Phys. Atomic Nuclei, 69: 1453–1460 (2006).
- Ghanmugan G. Magnetic Fields of Degenerate Stars,Annu. Rev. Astron. Astrophys, 30: 143-184 (1992).
- Thompson C. and Duncan R. C. The Neutron Stars. II. Quiescent Neutrino, X-Ray, and Alfven Wave Emission Soft Gamma Repeaters as Very Strongly Magnetized, Astrophys. J, 473: 322 (1996).
- Chameleon N. and Haensel P., Physics of Neutron Star Crusts, Living Rev. Rel., 11: 10 (2008).
- Peng Q. H. and Tong H., The physics of strong magnetic fields in neutron stars, Mon. Not. R. Astron. Soc., 1: 159-162 (2007).
- Gao Z. F., Wang N., Xu Y. and Li X. D., The effects of superhigh magnetic fields on the equations of state of neutron stars, Astron. Nachr., 336: 866 (2015).
- Mereghetti S., Pons J. and Melatos A., Magnetars: Properties, Origin and Evolution, Space Sci. Rev., 191: 315-338 (2015).
- Yan X., Guang-Zhou L., Cheng-Zhi L., Cun-Bo F., Hong-Yan W., Ming-Feng Z., En-Guang Z. The Nucleon Direct URCA Processes in a Cooling Neutron Star, Chin. Phys. Lett., 30: 129501-4 (2013).
- Yakovlev D. G., Pethick C. Neutron Star Cooling, Ann. Rev. Astron. Astrophys. 42: 169-210 (2004).
10.
|
|
Carlson J., Carpenter M. P., Casten R., Elster C., Fallon P., Gade A., Gross C., Hagen G., Hayes A. C., Higinbotham D. W., Howell C. R., Horowitz C. J., Jones K. L., Kondev F. G., Lapi S., Macchiavelli A., McCutchen E. A., Natowitz J., Nazarewicz W., Papenbrock T., Reddy S., Riley M. A., Savage M. J., Savard G., Sherrill B. M., Sobotka L. G., Stoyer M. A., Tsang M. B., Vetter K., Wiedenhoever I. and Wuosmaa A. H., Yennello S., White paper on nuclear astrophysics and low-energy nuclear physics, Part 2: Low-energy nuclear physics, Prog Part Nucl Phys., 94: 68–124 (2017).
11. Page, D. and Applegate, J. H., The cooling of neutron stars by the direct URCA process, Astrophys. J, 394: 17-20 (1992).
12. Liu, J. J., Gu W.M.: A new insight into neutrino energy loss by electron capture of iron group nuclei in magnetars surface, Astrophys. J. Suppl. Ser., 224: 29 (2016).
13. Liu J. J. and Liu D. M., Influence of super-strong magnetic fields on beta decay of nuclide 59- Co in magnetar surface, Astrophys Space Sci., 361:246 (2016).
14. Fujii H., Muto T., Tatsumi T., Tamagaki R., Effects of weak interaction on kaon condensation and cooling of neutron stars, Nucl. Phys. A, 571: 758-783 (1994).
15. Lattimer J. M., Pethick C. J., Prakash M., Haensel P., Direct URCA Process in Neutron Stars, Phys. Rev. Lett , 66: 2701-4 (1991).
16. Matese J., O’Connell R., Neutron beta-decay in a uniform magnetic field, Phys. Rev., 180: 1289-92 (1969).
17. Fassio-Canuto L., Neutron beta-decay in a strong magnetic field, Phys. Rev., 187: 2141-6 (1969).
18. Studenikin A.,Proton recoil effects in beta decay of polarized neutrons in a strong magnetic field, Sov. J. Nucl. Phys. 49: 1031-4 (1989).
19. Ternov I., Rodionov V., Zhulego V. and Studenikin A., β-decay of Polarized Neutrons in External Electromagnetic Fields, Sov. J. Nucl. Phys. 28: 747-57 (1978).
20. Baranov I., β-Decay of an un-polarized neutron in an intense electromagnetic field, Sov. Phys. J., 17: 533-538 (1974).
21. Shinkevich S., Studenikin A., Relativistic theory of inverse beta-decay of polarized neutron in strong magnetic field, Pramana J. Phys., 65: 215-244 (2005).
22. Bander M., Rubinstein H. R., Proton beta decay in large magnetic fields, Phys. Lett. B, 311: 187-192 (1993).
23. Skobelev V. V., On the Pressure of a Neutron Gas Interacting with the Non-Uniform Magnetic Field of a Neutron Star, Russ Phys J, 60: 2073 (2018).
24. Schwab J., Bildsten L. and Quataert E., The importance of Urca-process cooling in accreting one white dwarfs, Monthly Notices of the Royal Astronomical Society, 472: 3390-3406 (2017).
25. Weinberg S., Quantum theory of fields, Cambridge University press, (2000).
26. Okun L., Quarks and Leptons, North-Holland (1982).
27. Landau L. M., Lifshitz E. M., Quantum Electrodynamics, Pergaman Press, (1979).
28. Bjorken J. B., and Drell S. D., Relativistic Quantum Mechanics, McGraw-Hill, (1964).
29. Abramovitz M., Stegun I. A., handbook of Mathematical Function with Formula, Graphs and Mathematical Tables, Denver, Newyork (1970).
30. Seidi M., Calculating of neutron energy spectrum with account of AMM in the presence of a strong magnetic field using the Nikiforov-Uvarov method , 24th Iranian Nuclear Conference, Iran, University of Isfahan (2018).
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