New eigen-mode of spin oscillations in the triplet superfluid condensate in neutron stars

TL;DR

This paper predicts a new eigen mode of spin oscillations in the triplet superfluid neutron condensate within neutron stars, which can decay into neutrinos, expanding understanding of neutron star core dynamics.

Contribution

It introduces a novel eigen mode of spin oscillations in triplet superfluid neutron condensates, with potential implications for neutrino emission in neutron stars.

Findings

Discovery of a new spin oscillation mode at ω ≈ √(58/35)Δ

The new mode can decay into neutrino pairs via weak currents

Analysis conducted within BCS approximation for specific pairing state

Abstract

The eigen mode of spin oscillations with $\omega\simeq \sqrt{58/35}\Delta$ is predicted to exist besides already known spin waves with $\omega \simeq\Delta /\sqrt{5}$ in the triplet superfluid neutron condensate in the inner core of neutron stars. The new mode is kinematically able to decay into neutrino pairs through neutral weak currents. The problem is considered in BCS approximation for the case of $^{3}P_{2}-^{3}F_{2}$ pairing with a projection of the total angular momentum $m_{j}=0$ which is conventionally considered as preferable one at supernuclear densities.