Journal of East China Normal University(Natural Science) >
Distinguishing fermionic types of neutrinos with rotating gravitational fields
Received date: 2022-04-08
Online published: 2023-07-25
Based on previous studies on the scattering of Majorana and Dirac fermions in Schwarzschild spacetime and the effects of the torsion on the scattering of the two fermions, under the weak field approximation of gravity and the lowest order approximation of the perturbation of the gravitational field scattering of fermions, this study decomposes the spin connection into a vector-like part under parity transformation and separately analyzes the effects of the two parts on the scattering matrix elements of the two fermions. A difference is found to exist between the general gravitational field on the quantum scattering matrix elements of the two fermions, where the difference derives from the vector-like part. These findings are then verified in the context of the Kerr gravitational field, where the difference between the scattering matrix elements of the two fermions is determined to be related to the mass and angular momentum of the gravitational source. The difference diminishes in the case of Schwarzschild spacetime when the angular momentum is zero.
Key words: Majorana fermion; torsion; teleparallel gravity; Kerr metric
Jiaming GUO , Xun XUE . Distinguishing fermionic types of neutrinos with rotating gravitational fields[J]. Journal of East China Normal University(Natural Science), 2023 , 2023(4) : 177 -191 . DOI: 10.3969/j.issn.1000-5641.2023.04.018
1 | MAJORANA E. Teoria simmetrica dell’elettrone e del positrone. Il Nuovo Cimento (1924-1942), 1937, 14 (4): 171-184. |
2 | FURRY W. H. On transition probabilities in double beta-disintegration. Physical Review, 1939, 56 (12): 1184- 1193. |
3 | OBERAUER L, IANNI A, SERENELLI A. Solar Neutrino Physics: The Interplay between Particle Physics and Astronomy [M]. [S. l]: John Wiley & Sons, Inc. , 2020: 120-127. |
4 | NG K L. Gravitational form factors of the neutrino. Physical Review D, 1993, 47 (11): 5187- 5190. |
5 | NG K L. Equivalence principle and discrete symmetries of Dirac and Majorana fermions in gravitational field. Il Nuovo Cimento B, 1994, 109 (11): 1143- 1146. |
6 | SINGH D, MOBED N, PAPINI G. Can gravity distinguish between Dirac and Majorana neutrinos?. Physical Review Letters, 2006, 97 (4): 041101. |
7 | MENON A, THALAPILLIL A M. Interaction of Dirac and Majorana neutrinos with weak gravitational fields. Physical Review D, 2008, 78 (11): 113003. |
8 | ALAVI S A, ABBASNEZHAD A. Can gravity distinguish between Dirac and Majorana neutrinos?. Gravitation and Cosmology, 2016, 22, 288- 298. |
9 | NIEVES J F, PAL P B. Comment on “Can gravity distinguish between Dirac and Majorana neutrinos?”. Physical Review Letters, 2007, 98 (6): 069001. |
10 | LAI J H, XUE X. The scattering of Dirac and Majorana fermions in spherically symmetric gravitational field and torsion field [EB/OL]. (2021-12-20)[2022-03-22]. https://arxiv.org/abs/2112.10590. |
11 | ARCOS H I, DE ANDRADE V C, PEREIRA J G. Torsion and Gravitation: A new view. International Journal of Modern Physics D, 2004, 13 (5): 807- 818. |
12 | ALDROVANDI R, PEREIRA J G. Teleparallel Gravity [M]. Dordrecht Netherlands: Springer, 2013: 39-49. |
/
〈 |
|
〉 |