# Amplifying magnetic fields of a newly born neutron star by stochastic angular momentum accretion in core collapse supernovae

## TL;DR

This paper proposes a new stochastic omega (Sω) dynamo mechanism that amplifies magnetic fields in newly born neutron stars during core collapse supernovae, driven by stochastic angular momentum accretion.

## Contribution

It introduces the Sω dynamo, a novel magnetic amplification process operating on large scales with stochastic angular momentum, enhancing magnetic fields in neutron stars.

## Key findings

- Estimated amplification factor of Sω dynamo is approximately 10.
- Suggests Sω effect explains strong magnetic fields in many neutron stars.
- Proposes Sω dynamo operates alongside turbulence and traditional dynamo mechanisms.

## Abstract

I present a novel mechanism to boost magnetic field amplification of newly born neutron stars in core collapse supernovae. In this mechanism, that operates in the jittering jets explosion mechanism and comes on top of the regular magnetic field amplification by turbulence, the accretion of stochastic angular momentum in core collapse supernovae forms a neutron star with strong initial magnetic fields but with a slow rotation. The varying angular momentum of the accreted gas, which is unique to the jittering jets explosion mechanism, exerts a varying azimuthal shear on the magnetic fields of the accreted mass near the surface of the neutron star. This, I argue, can form an amplifying effect which I term the stochastic omega (S$\omega$) effect. In the common $\alpha \omega$ dynamo the rotation has constant direction and value, and hence supplies a constant azimuthal shear, while the convection has a stochastic behavior. In the S$\omega$ dynamo the stochastic angular momentum is different from turbulence in that it operates on a large scale, and it is different from a regular rotational shear in being stochastic. The basic assumption is that because of the varying direction of the angular momentum axis from one accretion episode to the next, the rotational flow of an accretion episode stretches the magnetic fields that were amplified in the previous episode. I estimate the amplification factor of the S$\omega$ dynamo alone to be $\approx 10$. I speculate that the S$\omega$ effect accounts for a recent finding that many neutron stars are born with strong magnetic fields.