Long-range multiparticle interactions induced by neutrino exchange in neutron-star matter

TL;DR

This paper investigates how long-range neutrino-mediated multiparticle interactions influence neutron-star matter, concluding that such interactions do not affect the equation of state or stability of neutron stars in the one-loop approximation.

Contribution

It demonstrates that long-range multiparticle neutrino interactions are stable and do not alter neutron star properties, contrary to previous assumptions.

Findings

Long-range neutrino interactions vanish in thermodynamic potential decomposition.

In the one-loop approximation, these interactions are stable and negligible.

Neutrino masses do not impact the neutron matter equation of state.

Abstract

Forces with a large radius of interaction can have a significant impact on the equation of state of matter. Low-mass neutrinos generate a long-range potential due to the exchange of neutrino pairs. We discuss a possible relationship between the neutrino masses, which determine the interaction radius of the neutrino-pair exchange potential, and the equation of state of neutron matter. Contrary to previous statements, the thermodynamic potential, when decomposed into the number of neutrino interactions, vanishes in any decomposition order, except for the interaction of two neutrons. In the one-loop approximation, long-range multiparticle neutrino interactions are stable in the infrared region for all neutrino masses and do not affect the equation of state of neutron matter or the stability of neutron stars.