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In this article we discuss about the evolution of Lorentz factor \(\varGamma \) with respect to the photon path length (z) inside the light cylinder of radius \(R_{ls}\) of the star. The relation between \(\varGamma \) and z is evaluated from a differential equation known by the name as Lorentz-Abraham-Dirac (LAD) equation[2]. The LAD equation takes care of the energy loss (due to radiation reaction) and energy gained (due to Coulomb interaction) by the charge particles during their journey along the B field lines. Our analysis provides a non-trivial parameter space (i.e., the photon energy \(\omega \) , Lorentz factor \(\varGamma (z)\) for a typical neutron star model having \(B\sim 10^{12}\) Gauss, rotational time period \(\sim \) 83 mins.) for carrying out the investigation of polarization of photon in highly magnetized plasma co-rotating with the compact star. We will incorporate the results obtained in this study for the investigation of high energy photon-axion interaction in the magnetosphere of the compact star.

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Cosmic Accelerators in an Extreme External Field

  • 会议论文

  • 发表日期：

    2025年

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  • Ankur Chaubey,
  • Shashank Mishra,
  • Venktesh Singh,
  • Avijit K. Ganguly

摘要

In this article we discuss about the evolution of Lorentz factor \(\varGamma \) with respect to the photon path length (z) inside the light cylinder of radius \(R_{ls}\) of the star. The relation between \(\varGamma \) and z is evaluated from a differential equation known by the name as Lorentz-Abraham-Dirac (LAD) equation[2]. The LAD equation takes care of the energy loss (due to radiation reaction) and energy gained (due to Coulomb interaction) by the charge particles during their journey along the B field lines. Our analysis provides a non-trivial parameter space (i.e., the photon energy \(\omega \) , Lorentz factor \(\varGamma (z)\) for a typical neutron star model having \(B\sim 10^{12}\) Gauss, rotational time period \(\sim \) 83 mins.) for carrying out the investigation of polarization of photon in highly magnetized plasma co-rotating with the compact star. We will incorporate the results obtained in this study for the investigation of high energy photon-axion interaction in the magnetosphere of the compact star.