We propose a new approach to exploring relativistic compound systems in the external magnetic field. A relativistic Hamiltonian that includes confinement, one-gluon exchange, and spin—spin interaction has been obtained using path integral formalism. The masses of the quark—antiquark states that correspond at zero magnetic field to $\rho$- and $\pi$-meson and neutron mass have been calculated as a function of the magnetic field. The most interesting phenomena occur in super-strong magnetic fields of the order of $10^{18} - 10^{20}$ G that emerge for a short time in peripheral collisions of relativistic heavy ions.

Keywords: relativistic Hamiltonian, quark—antiquark system, magnetic field, pseudo-momentum, color Coulomb and spin—spin interactions, regularization, constituent separation method PACS: 12.39.−x, 14.40.−n, 11.15.Tk (all) DOI: 10.3367/UFNe.2019.02.038526 URL: https://ufn.ru/en/articles/2019/4/a/ 000472874200001 2-s2.0-85072331321 2019PhyU...62..319A Citation: Andreichikov M A, Kerbikov B O, Simonov Yu A "Hadron physics in magnetic fields" Phys. Usp. 62 319–339 (2019) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 14th, December 2017, revised: 30th, January 2019, accepted: 8th, February 2019 Оригинал: Андрейчиков М А, Кербиков Б О, Симонов Ю А «Физика адронов в магнитном поле» УФН 189 337–358 (2019); DOI: 10.3367/UFNr.2019.02.038526