Exact massless spinor quasibound states of Schwarzschild black hole
Issued Date
2024-07-01
Resource Type
ISSN
03702693
Scopus ID
2-s2.0-85193251158
Journal Title
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume
854
Rights Holder(s)
SCOPUS
Bibliographic Citation
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics Vol.854 (2024)
Suggested Citation
Senjaya D. Exact massless spinor quasibound states of Schwarzschild black hole. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics Vol.854 (2024). doi:10.1016/j.physletb.2024.138714 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/98439
Title
Exact massless spinor quasibound states of Schwarzschild black hole
Author(s)
Author's Affiliation
Corresponding Author(s)
Other Contributor(s)
Abstract
In this work, we investigate the behavior of massless spin [Formula presented] field by working out the Dirac equation in a curved static spherically symmetric Schwarzschild space-time. Detailed derivation of novel exact massive and massless scalar quasibound state in Schwarzschild black hole background is presented in this work. After decoupling the Dirac equation, we successfully solve both of the angular and radial parts, respectively in terms of spin weighted Spherical Harmonics and Confluent Heun functions. With the exact radial wave solution in hand, applying its polynomial condition leads to the discovery of the quantized energy levels expression. We found that the massless spinor field around the Schwarzschild black hole has complex valued energy levels, in contrast to the purely imaginary for a massless boson around the same black hole. In the last section, the Hawking radiation distribution function is derived via Damour-Ruffini method and the Hawking temperature is obtained.