---
abstract: 'We compute the effect of collapse models on neutrino oscillations. The effect of the collapse is to modify the evolution of the [*spatial*]{} part of the wave function and we will show that this indirectly amounts to a change on the flavor components. For the analysis we use the mass proportional CSL model, and perform the calculation to second order perturbation theory. As we will show, the CSL effect is very small—mainly due to the very small mass of neutrinos—and practically undetectable.'
author:
- Sandro Donadi
- Angelo Bassi
- Catalina Curceanu
- Luca Ferialdi
title: The effect of spontaneous collapses on neutrino oscillations
---

Introduction
============

The general validity of the superposition principle of quantum mechanics is questioned by an increasing number of scientists [@Bel; @Ad; @We; @Le], and is subject to an intense experimental verification [@Ar1; @Ar2; @Ar3; @Ar4; @Bo; @Mo]. The possibility that the superposition principle might have only a limited range of validity is foreseen by collapse models [@Grw; @Cslmass; @Fu; @Csl; @adlerphoto; @Pr; @Ad2; @Pe1; @Pe2; @Pe3; @Di1; @Di2], which predict small deviations from standard quantum mechanics, for all those cases where quantum linearity plays a fundamental role. Neutrino oscillations [@Beuthe; @Neu1; @Neu2; 