{"title":"GZK Cutoff in Presence of a Specified Modified Dispersion Relation","authors":"Arash Majidian, Mehdi Jafari Matehkolaeer","doi":"10.1134/S020228932304014X","DOIUrl":null,"url":null,"abstract":"<p>In this study, based on the constraints of modified dispersion relation parameters from Ultra High Energy Cosmic Rays (UHECR), we investigate the wavelength shift of scattered photons in a Compton process. In other words, the main motivation here is to consider the effects of modified dispersion relation and Lorentz invariance violation on inverse Compton scattering of cosmic microwave background (CMB) photons and the GZK cutoff. Our calculations indicate that the change in wavelength depends on the incident photon wavelength. In addition, we obtain a threshold momentum of an electron as <span>\\(|P|\\leq 10^{12}\\)</span> eV. This threshold indicates the reasonable values for <span>\\(|P|\\)</span>. Also, we find that with respect to the specified modified dispersion relation it is possible to extend the GZK cutoff in the UHECR spectrum beyond <span>\\(10^{20}\\)</span> eV, and we expect to detect cosmic rays from deep space having energies greater than <span>\\(10^{20}\\)</span> eV, as suggested in some experiments.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2023-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gravitation and Cosmology","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1134/S020228932304014X","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, based on the constraints of modified dispersion relation parameters from Ultra High Energy Cosmic Rays (UHECR), we investigate the wavelength shift of scattered photons in a Compton process. In other words, the main motivation here is to consider the effects of modified dispersion relation and Lorentz invariance violation on inverse Compton scattering of cosmic microwave background (CMB) photons and the GZK cutoff. Our calculations indicate that the change in wavelength depends on the incident photon wavelength. In addition, we obtain a threshold momentum of an electron as \(|P|\leq 10^{12}\) eV. This threshold indicates the reasonable values for \(|P|\). Also, we find that with respect to the specified modified dispersion relation it is possible to extend the GZK cutoff in the UHECR spectrum beyond \(10^{20}\) eV, and we expect to detect cosmic rays from deep space having energies greater than \(10^{20}\) eV, as suggested in some experiments.
期刊介绍：
Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community
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