Absorption and scattering of a high dimensional non-commutative black hole

Abstract In this work, we investigate the scattering of massless plane scalar waves by the high dimensional non-commutative Schwarzschild–Tangherlini black hole. We use the partial wave approach to determine the scattering and absorption cross sections in the incident wavelength range. Our numerical...

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Main Authors: Mao-Yuan Wan, Chen Wu
Format: Article
Language:English
Published: SpringerOpen 2023-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-11167-2
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author Mao-Yuan Wan
Chen Wu
author_facet Mao-Yuan Wan
Chen Wu
author_sort Mao-Yuan Wan
collection DOAJ
description Abstract In this work, we investigate the scattering of massless plane scalar waves by the high dimensional non-commutative Schwarzschild–Tangherlini black hole. We use the partial wave approach to determine the scattering and absorption cross sections in the incident wavelength range. Our numerical results demonstrate that the bigger the non-commutative parameter, the smaller the maximum value of the related partial absorption cross section, however the tendency is slightly. We also discovered that when the non-commutative parameter is weak, the absorption cross section of the high dimensional black hole oscillates in the low frequency zone. The total absorption cross section oscillates around the geometrical optical limit in the high frequency range, and the scattering characteristics of black holes with various parameters are visibly different. The influence on the differential scattering cross section is particularly pronounced at large angles.
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spelling doaj.art-0fd139a818ff4d40b8d7f777ba0c711c2023-03-22T12:09:47ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-01-0183111210.1140/epjc/s10052-022-11167-2Absorption and scattering of a high dimensional non-commutative black holeMao-Yuan Wan0Chen Wu1University of Shanghai for Science and TechnologyShanghai Advanced Research Institute, Chinese Academy of SciencesAbstract In this work, we investigate the scattering of massless plane scalar waves by the high dimensional non-commutative Schwarzschild–Tangherlini black hole. We use the partial wave approach to determine the scattering and absorption cross sections in the incident wavelength range. Our numerical results demonstrate that the bigger the non-commutative parameter, the smaller the maximum value of the related partial absorption cross section, however the tendency is slightly. We also discovered that when the non-commutative parameter is weak, the absorption cross section of the high dimensional black hole oscillates in the low frequency zone. The total absorption cross section oscillates around the geometrical optical limit in the high frequency range, and the scattering characteristics of black holes with various parameters are visibly different. The influence on the differential scattering cross section is particularly pronounced at large angles.https://doi.org/10.1140/epjc/s10052-022-11167-2
spellingShingle Mao-Yuan Wan
Chen Wu
Absorption and scattering of a high dimensional non-commutative black hole
European Physical Journal C: Particles and Fields
title Absorption and scattering of a high dimensional non-commutative black hole
title_full Absorption and scattering of a high dimensional non-commutative black hole
title_fullStr Absorption and scattering of a high dimensional non-commutative black hole
title_full_unstemmed Absorption and scattering of a high dimensional non-commutative black hole
title_short Absorption and scattering of a high dimensional non-commutative black hole
title_sort absorption and scattering of a high dimensional non commutative black hole
url https://doi.org/10.1140/epjc/s10052-022-11167-2
work_keys_str_mv AT maoyuanwan absorptionandscatteringofahighdimensionalnoncommutativeblackhole
AT chenwu absorptionandscatteringofahighdimensionalnoncommutativeblackhole