# Spin-Independent Two-Neutrino Exchange Potential with Mixing and $CP$-Violation

## TL;DR

This paper introduces a new method for calculating the spin-independent two-neutrino exchange potential, highlighting its sensitivity to neutrino properties like mass, mixing, and $CP$-violation, thus providing a tool for probing fundamental neutrino physics.

## Contribution

A novel approach emphasizing the neutrino vacuum state to compute the 2-NEP, incorporating effects of neutrino mixing, mass ordering, and $CP$-violation.

## Key findings

- Dependence of 2-NEP on neutrino mixing parameters
- Impact of mass ordering on the 2-NEP
- Sensitivity of 2-NEP to $CP$-violation phase

## Abstract

We develop a new approach for calculating the spin-independent 2-neutrino exchange potential (2-NEP) between non-relativistic fermions which places emphasis on the neutrino vacuum state, an area of theoretical interest in recent years. The 2-NEP is a natural probe of fundamental issues of neutrino physics such as neutrino masses, flavor mixing, the number of neutrino flavors, neutrino nature (Dirac or Majorana), $CP$-violation, and the neutrino vacuum state. We explore the dependence of the 2-NEP on the mixing of neutrino mass states assuming normal and inverted mass ordering for nucleon-nucleon, nucleon-lepton, and lepton-lepton interactions, and the $CP$-violation phase in the neutrino mixing matrix.