Induced Magnetic Field in Accretion Disks Around Neutron Stars: The Solution for the Induced Field

Written by @magnetosphere | Published on 2024/3/8

TL;DR —

This paper explores the interaction between accretion disks and neutron star magnetic fields, presenting a detailed model.

This paper is available on arxiv under CC 4.0 license.

Authors:

(1) A. V. Kuzin, Sternberg Astronomical Institute, Moscow, Russia and E-mail: alv.kuzin@gmail.com.

Table of Links

where A, C may be found easily from boundary conditions.

The problem for u may be solved in the following way. First, we solve the Sturm-Liouville problem with corresponding boundary conditions:

Eigenfunctions of (27) are combinations of Bessel functions of the first and second kind:

while the eigenvalues are roots of the equation:

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