Compton Scattering of Hermite Gaussian Wave γ Ray

Tomoyuki Maruyama; Takehito Hayakawa; Toshitaka Kajino

doi:10.1038/s41598-019-44120-7

Compton Scattering of Hermite Gaussian Wave γ Ray

Tomoyuki Maruyama^*
, Takehito Hayakawa
, Toshitaka Kajino

^*Corresponding author for this work

School of Physics

Nihon University
National Astronomical Observatory of Japan
National Institutes for Quantum Science and Technology
The University of Tokyo

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

One of candidates for the generation mechanism of high linearly polarized γ rays in γ-ray bursts is synchrotron radiations from high energy electrons under strong magnetic fields. If this scenario is true, Hermite Gaussian (HG) wave photons, which are one of high-order Gaussian modes, are also generated by high-order harmonic radiations in strong magnetic fields. The HG wave γ rays propagating along the z-direction have quantum numbers of nodes of n_x and n_y in the x- and y-directions, respectively. We calculate the differential cross sections for Compton scattering of photons described by HG wave function in the framework of relativistic quantum mechanics. The results indicate that it is possible to identify the HG wave photon and its quantum numbers n_x and n_y and by measuring the azimuthal angle dependence of differential cross section or the energy spectra of the scattered photon as a function of the azimuthal angle.

Original language	English
Article number	7998
Journal	Scientific Reports
Volume	9
Issue number	1
DOIs	https://doi.org/10.1038/s41598-019-44120-7
State	Published - 1 Dec 2019

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title = "Compton Scattering of Hermite Gaussian Wave γ Ray",

abstract = "One of candidates for the generation mechanism of high linearly polarized γ rays in γ-ray bursts is synchrotron radiations from high energy electrons under strong magnetic fields. If this scenario is true, Hermite Gaussian (HG) wave photons, which are one of high-order Gaussian modes, are also generated by high-order harmonic radiations in strong magnetic fields. The HG wave γ rays propagating along the z-direction have quantum numbers of nodes of nx and ny in the x- and y-directions, respectively. We calculate the differential cross sections for Compton scattering of photons described by HG wave function in the framework of relativistic quantum mechanics. The results indicate that it is possible to identify the HG wave photon and its quantum numbers nx and ny and by measuring the azimuthal angle dependence of differential cross section or the energy spectra of the scattered photon as a function of the azimuthal angle.",

author = "Tomoyuki Maruyama and Takehito Hayakawa and Toshitaka Kajino",

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doi = "10.1038/s41598-019-44120-7",

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T1 - Compton Scattering of Hermite Gaussian Wave γ Ray

AU - Maruyama, Tomoyuki

AU - Hayakawa, Takehito

AU - Kajino, Toshitaka

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Y1 - 2019/12/1

N2 - One of candidates for the generation mechanism of high linearly polarized γ rays in γ-ray bursts is synchrotron radiations from high energy electrons under strong magnetic fields. If this scenario is true, Hermite Gaussian (HG) wave photons, which are one of high-order Gaussian modes, are also generated by high-order harmonic radiations in strong magnetic fields. The HG wave γ rays propagating along the z-direction have quantum numbers of nodes of nx and ny in the x- and y-directions, respectively. We calculate the differential cross sections for Compton scattering of photons described by HG wave function in the framework of relativistic quantum mechanics. The results indicate that it is possible to identify the HG wave photon and its quantum numbers nx and ny and by measuring the azimuthal angle dependence of differential cross section or the energy spectra of the scattered photon as a function of the azimuthal angle.

AB - One of candidates for the generation mechanism of high linearly polarized γ rays in γ-ray bursts is synchrotron radiations from high energy electrons under strong magnetic fields. If this scenario is true, Hermite Gaussian (HG) wave photons, which are one of high-order Gaussian modes, are also generated by high-order harmonic radiations in strong magnetic fields. The HG wave γ rays propagating along the z-direction have quantum numbers of nodes of nx and ny in the x- and y-directions, respectively. We calculate the differential cross sections for Compton scattering of photons described by HG wave function in the framework of relativistic quantum mechanics. The results indicate that it is possible to identify the HG wave photon and its quantum numbers nx and ny and by measuring the azimuthal angle dependence of differential cross section or the energy spectra of the scattered photon as a function of the azimuthal angle.

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U2 - 10.1038/s41598-019-44120-7

DO - 10.1038/s41598-019-44120-7

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SN - 2045-2322

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JO - Scientific Reports

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Compton Scattering of Hermite Gaussian Wave γ Ray

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