Hadron Masses in Strong Magnetic Fields

Abstract

Hadron masses under strong magnetic fields are studied. In the presence of strong magnetic fields exceeding the QCD energy scale $eB\gg {\Lambda }_{\mathrm{QCD}}^2$, ${\mathrm{SU}(3)}_{\mathrm{flavor}}\otimes {\mathrm{SU}(2)}_{\mathrm{spin}}$ symmetry of hadrons is explicitly broken so that the quark components of hadrons differ from those with zero or weak magnetic fields $eB\lesssim {\Lambda }_{\mathrm{QCD}}^2$. 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.

Comments: 5 pages, 3 figures, 1 table. v2: discussion and figure improved, references added, version to be published in PRD