Energy source for the magnetic field growth in magnetars driven by the electron-nucleon interaction

Abstract

We study the magnetic field generation in a neutron star within the model based on the magnetic field instability in the nuclear matter owing to the electron-nucleon parity violating interaction. We suggest that the growing magnetic field takes the energy from thermal background fermions in the neutron star matter. The system of kinetic equations for the spectra of the magnetic helicity density and magnetic energy density as well as the chiral imbalance are solved numerically accounting for this energy source. We obtain that, for the initial conditions corresponding to a typical neutron star, the large scale magnetic field $\sim 10^{15}\text{G}$ is generated during $(10^4-10^5)\text{yr}$. We suggest that the proposed model describes strong magnetic fields observed in magnetars.

7 pages in Revtex4.1, two columns, 8 eps figures; paper was significantly revised, the description of the magnetic helicity evolution is added; matches the version published in Phys.Rev.D

References in corpus (8)

• Magnetars: Properties, Origin and Evolution
• Cooling rates of neutron stars and the young neutron star in the Cassiopeia A supernova remnant
• The Role of the Electron Mass in Damping Chiral Magnetic Instability in Supernova and Neutron Stars
• Chiral Magnetic Effect in Protoneutron Stars and Magnetic Field Spectral Evolution
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• Generation of strong magnetic fields in dense quark matter driven by the electroweak interaction of quarks
• Role of particle masses in the magnetic field generation driven by the parity violating interaction
• Relaxation of the chiral imbalance and the generation of magnetic fields in magnetars
• Magnetic fields in turbulent quark matter and magnetar bursts
• Magnetar field dynamics shaped by chiral anomalies and helicity
• Magnetic helicity in rotating neutron stars
• Relaxation of the chiral imbalance in dense matter of a neutron star
• Strong magnetic fields in compact stars as a macroscopic parity violation phenomenon
• New magnetic field instability and magnetar bursts
• Generation of strong magnetic fields in hybrid and quark stars driven by the electroweak interaction of quarks