A solution to the proton and deuteron size puzzle and the anomalous magnetic moment of the muon

TL;DR

This paper proposes a novel effective potential approach that addresses the proton and deuteron size puzzles, maintains lepton universality, and explains the muon's anomalous magnetic moment, aligning with various experimental measurements.

Contribution

It introduces an effective radius concept with a linear potential component that simultaneously solves multiple longstanding discrepancies in particle physics.

Findings

Addresses proton and deuteron size discrepancies.

Explains the muon's anomalous magnetic moment.

Consistent with various spectroscopic measurements.

Abstract

We show that a proposal which involves an effective radius derived from an effective potential that includes a linear extra-potential may solve both the proton and deuteron size puzzle. Moreover, this solution preserves the e-{\mu} universality and helps to solve the anomalous magnetic moment of the muon too. Still, it is consistent with the rms magnetic radius of the proton and deuteron, the rms charge radius of both the ordinary and muonic C12 as well as the kaonic and pionic X-rays spectroscopy.