Hadron Masses in Strong Magnetic Fields

TL;DR

This paper investigates how strong magnetic fields, exceeding the QCD scale, explicitly break symmetries and alter hadron masses, developing a quark model to analytically compute these mass changes for various hadrons.

Contribution

It introduces a quark model that accounts for symmetry breaking and hadron squeezing effects to analytically determine hadron mass spectra under strong magnetic fields.

Findings

Explicit symmetry breaking alters quark components of hadrons.

Strong magnetic fields cause hadron squeezing, affecting mass spectrum.

Analytical calculations for mesons, baryons, and strange hadrons.

Abstract

Hadron masses under strong magnetic fields are studied. In the presence of strong magnetic fields exceeding the QCD energy scale $ eB \gg \Lambda^2_{\rm QCD} $, ${\rm SU(3)}_{\rm flavor} \otimes {\rm SU(2)}_{\rm spin}$ symmetry of hadrons is explicitly broken so that the quark components of hadrons differ from those with zero or weak magnetic fields $ eB \lesssim \Lambda^2_{\rm QCD} $. Also, squeezing of hadrons by strong magnetic fields affects the hadron mass spectrum. We develop a quark model which appropriately incorporates these features and analytically calculate various hadron masses including mesons, baryons and those with strangeness.