https://doi.org/10.1140/epjp/s13360-025-06756-5
Regular Article
Greybody factor for massive scalar field in charged black hole
1
The Institute for Fundamental Study (IF), Naresuan University, 99 Moo 9, Tah Poe, Mueang Phitsanulok, 65000, Phitsanulok, Thailand
2
Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, 254 Phaya Thai Rd., Pathum Wan, 10330, Bangkok, Thailand
3
Department of Physics, Faculty of Science, Mahidol University, 272 Rama VI Rd., Ratchathewi, 10400, Bangkok, Thailand
Received:
7
March
2025
Accepted:
17
August
2025
Published online:
5
September
2025
The greybody factor of a massive scalar field in the Reissner–Nordström black hole is investigated using the Wentzel–Kramers–Brillouin (WKB) approximation and rigorous bound methods. We found that the transmission probability and behavior of the potential are directly related in such a way that the higher the potential, the lower the greybody factor. Both methods achieve a similar conclusion, which states that the greybody factor and the mass of the scalar field have an inverse relationship. This can be interpreted in a similar way in quantum mechanics, namely the scalar field with the higher mass will encounter a stronger interaction from the potential and then it is more difficult to penetrate through the potential barrier. The rigorous bound has the advantage of not only being possible to calculate analytically, but also being applicable to a wider range of parameter values compared to the standard WKB approximation.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
