Inverse beta decay of arbitrarily polarized neutrons in a magnetic field
Article
Received:
Revised:
Accepted:
- 42 Downloads
- 16 Citations
Abstract
We calculate the cross-section of the inverse beta decay process,v e+n → p+e, in a background magnetic field which is much smaller than m p 2/e . Using exact solutions of the Dirac equation in a constant magnetic field, we find the cross-section for arbitrary polarization of the initial neutrons. The cross-section depends on the direction of the incident neutrino even when the initial neutron is assumed to be at rest and has no net polarization. Possible implications of the result are discussed.
Keywords
Inverse beta decay background magnetic fieldPACS Nos
23.40.Bw 12.20.Ds 97.60.JdPreview
Unable to display preview. Download preview PDF.
References
- [1]O F Dorofeev, V N Rodionov and I M Ternov,Sov. Astron. Lett. 11, 123 (1985)ADSGoogle Scholar
- [2]J J Matese and R F O’Connell,Phys. Rev. 180, 1289 (1969);Astrophys. J. 160, 451 (1970)CrossRefADSGoogle Scholar
- [3]A A Gvozdev and I S Ognev,JETP Lett. 69, 365 (1999); arXiv:astro-ph/9909154CrossRefADSGoogle Scholar
- [4]P Arras and D Lai,Phys. Rev. D60, 043001 (1999); arXiv:astro-ph/9811371ADSGoogle Scholar
- [5]D A Baiko and D G Yakovlev,Astron. Astrophys. 342, 192 (1999); arXiv:astro-ph/9812071ADSGoogle Scholar
- [6]E Roulet,J. High Energy Phys. 9801, 013 (1998); arXiv:hep-ph/9711206CrossRefADSGoogle Scholar
- [7]D Lai and Y Z Qian, arXiv:astro-ph/9802345.Google Scholar
- [8]K Bhattacharya and P B Pal, arXiv:hep-ph/9911498.Google Scholar
- [9]K Bhattacharya and P B Pal, hep-ph/0001077; published in theProceedings of the COSMO-99 conference edited by U Cottiet al, p. 354Google Scholar
- [10]I S Gradshtein and I M Ryzhik,Table of integrals, series, and products (4th edition 1980, Academic Press) See result 1 in 7.376Google Scholar
- [11]G S Bisnovatyi-Kogan,Astron. Astrophys. Trans. 3, 287 (1993)CrossRefADSGoogle Scholar
Copyright information
© Indian Academy of Sciences 2004