# Charge-conjugation violating neutrino interactions in supernovae

#### Abstract

The well known charge conjugation violating interactions in the Standard Model increase neutrinoand decrease anti-neutrinonucleon cross sections. This impacts neutrino transport in core collapse supernovae through “recoil” corrections of order the neutrino energy k over the nucleon mass M . All k/M corrections to neutrino transport deep inside a protoneutron star are calculated from angular integrals of the Boltzmann equation. We find these corrections significantly modify neutrino currents at high temperatures. This produces a large mu and tau number for the protoneutron star and can change the ratio of neutrons to protons. In addition, the relative size of neutrino mean free paths changes. At high temperatures, the electron anti-neutrino mean free path becomes longer than that for mu or tau neutrinos. Core collapse supernovae are perhaps the only present day large systems dominated by the weak interaction. They are so dense that only neutrinos are known to diffuse. This may allow the study of macroscopic manifestations of the symmetries and features of the weak interaction. We believe it is useful to try and relate some supernova properties to features of the standard model. Microscopic weak interaction cross sections may influence macroscopic properties. For example, parity violation in a strong magnetic field may lead to an asymmetry in the explosion and a recoil of the neutron star[1]. Neutrino transport in dense matter is of great interest in astrophysics and has been investigated by many authors [2, 3, 4, 5, 6, 7]. Some simulations of the cooling of protoneutron stars based on these works can be found in References [8, 9]. However, most previous work did not include the well known charge conjugation violating interactions of neutrinos in the standard model. These interactions decrease neutrino currents and increase anti-neutrino currents and may have many implications for supernovae. ∗email: charlie@incf.indiana.edu †email: ganli@indiana.edu

### Cite this paper

@inproceedings{Li1999ChargeconjugationVN, title={Charge-conjugation violating neutrino interactions in supernovae}, author={Gang Li}, year={1999} }