The Multimessenger Contribution of Ultra-High-Energy Cosmic Rays from Gamma-Ray Bursts

It has long been debated whether gamma-ray bursts (GRBs) could serve as potential sources of ultra-high-energy cosmic rays (UHECRs). In this study, we consider GRBs as sources of UHECR injection with an injection index of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML&...

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Main Authors: Zhenjiang Li, Fangsheng Min, Yi Jin, Yiqing Guo
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Universe
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Online Access:https://www.mdpi.com/2218-1997/11/1/22
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author Zhenjiang Li
Fangsheng Min
Yi Jin
Yiqing Guo
author_facet Zhenjiang Li
Fangsheng Min
Yi Jin
Yiqing Guo
author_sort Zhenjiang Li
collection DOAJ
description It has long been debated whether gamma-ray bursts (GRBs) could serve as potential sources of ultra-high-energy cosmic rays (UHECRs). In this study, we consider GRBs as sources of UHECR injection with an injection index of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>α</mi><mo>=</mo><mn>2</mn></mrow></semantics></math></inline-formula> and propagate them through the extragalactic magnetic field within the framework of CRPropa 3. The baryon loading factor <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>f</mi><mrow><mi>C</mi><mi>R</mi></mrow></msub></semantics></math></inline-formula> is taken into account to quantify the rate of UHECR energy injection. In the benchmark case with a jet opening angle of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>θ</mi><mi>j</mi></msub><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>f</mi><mrow><mi>C</mi><mi>R</mi></mrow></msub><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula>, we find that both high- and low-luminosity populations contribute to less than 10% of the UHECR spectrum. The most constrained scenario suggests <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>f</mi><mrow><mi>C</mi><mi>R</mi></mrow></msub><mo>≤</mo><mn>15</mn></mrow></semantics></math></inline-formula>, indicating that GRBs are less efficient in producing the all-sky UHECR intensity. The high-energy diffuse neutrinos and gamma rays resulting from interactions between UHECRs from GRBs and extragalactic background photons do not dominate the observations of Fermi-LAT or IceCube.
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spelling doaj-art-27b1edfacbaa4950a02ebe3bfb8dfb012025-01-24T13:51:31ZengMDPI AGUniverse2218-19972025-01-011112210.3390/universe11010022The Multimessenger Contribution of Ultra-High-Energy Cosmic Rays from Gamma-Ray BurstsZhenjiang Li0Fangsheng Min1Yi Jin2Yiqing Guo3School of Physics and Technology, University of Jinan, Jinan 250022, ChinaKey Laboratory of Particle Astrophysics, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, ChinaSchool of Physics and Technology, University of Jinan, Jinan 250022, ChinaKey Laboratory of Particle Astrophysics, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, ChinaIt has long been debated whether gamma-ray bursts (GRBs) could serve as potential sources of ultra-high-energy cosmic rays (UHECRs). In this study, we consider GRBs as sources of UHECR injection with an injection index of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>α</mi><mo>=</mo><mn>2</mn></mrow></semantics></math></inline-formula> and propagate them through the extragalactic magnetic field within the framework of CRPropa 3. The baryon loading factor <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>f</mi><mrow><mi>C</mi><mi>R</mi></mrow></msub></semantics></math></inline-formula> is taken into account to quantify the rate of UHECR energy injection. In the benchmark case with a jet opening angle of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>θ</mi><mi>j</mi></msub><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>f</mi><mrow><mi>C</mi><mi>R</mi></mrow></msub><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula>, we find that both high- and low-luminosity populations contribute to less than 10% of the UHECR spectrum. The most constrained scenario suggests <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>f</mi><mrow><mi>C</mi><mi>R</mi></mrow></msub><mo>≤</mo><mn>15</mn></mrow></semantics></math></inline-formula>, indicating that GRBs are less efficient in producing the all-sky UHECR intensity. The high-energy diffuse neutrinos and gamma rays resulting from interactions between UHECRs from GRBs and extragalactic background photons do not dominate the observations of Fermi-LAT or IceCube.https://www.mdpi.com/2218-1997/11/1/22UHECRcosmogenic neutrinoGRBmultimessenger astronomy
spellingShingle Zhenjiang Li
Fangsheng Min
Yi Jin
Yiqing Guo
The Multimessenger Contribution of Ultra-High-Energy Cosmic Rays from Gamma-Ray Bursts
Universe
UHECR
cosmogenic neutrino
GRB
multimessenger astronomy
title The Multimessenger Contribution of Ultra-High-Energy Cosmic Rays from Gamma-Ray Bursts
title_full The Multimessenger Contribution of Ultra-High-Energy Cosmic Rays from Gamma-Ray Bursts
title_fullStr The Multimessenger Contribution of Ultra-High-Energy Cosmic Rays from Gamma-Ray Bursts
title_full_unstemmed The Multimessenger Contribution of Ultra-High-Energy Cosmic Rays from Gamma-Ray Bursts
title_short The Multimessenger Contribution of Ultra-High-Energy Cosmic Rays from Gamma-Ray Bursts
title_sort multimessenger contribution of ultra high energy cosmic rays from gamma ray bursts
topic UHECR
cosmogenic neutrino
GRB
multimessenger astronomy
url https://www.mdpi.com/2218-1997/11/1/22
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