Mesons in ultra-intense magnetic field: an evaded collapse

Abstract

Spectra of $q\bar{q}$ mesons are investigated in the framework of the Hamiltonian obtained from the relativistic path integral in external homogeneous magnetic field. The spectra of all 12 spin-isospin s-wave states generated by $\pi$- and $\rho$-mesons with different spin projections, are studied analytically as functions of the field strength. Three types of behavior with characteristic splittings are found. The results are in agreement with recent lattice calculations.

7 pages, 5 figures, XIIth Quark Confinement and the Hadron Spectrum, 28 Aug. - 4 Sep. 2016

References in corpus (6)

• Charged vector mesons in a strong magnetic field
• Meson Spectrum in Strong Magnetic Fields
• Modified Coulomb Law in a Strongly Magnetized Vacuum
• Asymptotic freedom in strong magnetic field
• Relativistic path integral and relativistic Hamiltonians in QCD and QED
• Spin interactions in mesons in strong magnetic field