On Possible Reduction of Equilibrium Radius of a Neutron Star Influenced by Superstrong Magnetic Field

Vladimir V Skobelev

doi:10.1155/2012/309304

Abstract

Necessary condition forβ-decay suppression of a neutron in degenerate magnetized electron gas is formulated. Based on this, it is shown that, in superstrong magnetic field, equilibrium radius of a neutron star is approximately several times smaller than without the field influence. Therefore, we can make a prediction that in short-period pulsars, such fields can be observed. In fact, possible existence of new class of stellar objects is noted, the objects with superstrong magnetic field and supersmall radius about 1 km which we namedminimagnetars. They can be detected by gravitational red shift of their radiation.

Highlights

It is well known that the main contribution in total pressure in neutron star is made by degenerate neutron gas 1, and equilibrium radius about 10 km is formed only under this condition available
The interest for exploration of such field influence onto equilibrium radius by interaction of neutron star matter, in particular, with degenerate electron gas, is arising. The latter might be connected with star dynamics in implicit way, by posing influence on neutron β-decay n → p e− νe and on reverse reaction e− p → n νe the so called direct URCA processes, that dominate in case of rather high concentration of electrons and protons 4, that is, on the process of neutronization and equilibrium radius in this research we do not cover the role of modified URCA processes 5 with one extra nucleon in such reactions
We underline the fact that in the nucleus of the neutron star direct process dominates over modified process, being more specific; in the nucleus, there is superstrong magnetic field

Summary

Introduction

It is well known that the main contribution in total pressure in neutron star is made by degenerate neutron gas 1 , and equilibrium radius about 10 km is formed only under this condition available. The interest for exploration of such field influence onto equilibrium radius by interaction of neutron star matter, in particular, with degenerate electron gas, is arising. We start from the fact that the wave function of the electron in the homogeneous magnetic field oriented to the third axis on the ground Landau level is the following 8 see 9 :

Results

Conclusion