Mass Differences within Isotopic Multiplets in a SUSY Electro-weak Theory

TL;DR

This paper proposes a supersymmetric gauge model to explain mass differences within isotopic multiplets, potentially shedding light on the proton-neutron mass difference puzzle.

Contribution

It introduces a SUSY gauge theoretical model based on $SU(2)_L \times SU(2)_R \times U(1)_Y$ that accounts for isotopic mass differences with correct sign.

Findings

Achieves correct sign for isotopic mass differences

Suggests a SUSY-based explanation for proton-neutron mass difference

Provides a theoretical framework linking electromagnetism and mass differences

Abstract

Based on the idea that electromagnetism is responsible for the mass differences within isotopic multiplets, and possibly also for the whole mass of the electron, a supersymmetric gauge theoretical model based on the group $SU(2)_{L} \times SU(2)_{R} \times U(1)_{Y}$ is constructed. Under some reasonable assumptions to the SUSY particle spectrum, a correct sign for the mass difference within an isotopic multiplet is obtained. This might provide a possible scenario to understand the old puzzle of the proton-neutron mass difference.