M.A. Andreichikova,
B.O. Kerbikovb,c,a,
Yu.A. Simonova aNational Research Center "Kurchatov Institute", Alikhanov Institute of Theoretical and Experimental Physics, ul. B. Cheremushkinskaya 25, Moscow, 117218, Russian Federation bMoscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation cLebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation
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)
Landau L D, Lifshits E M Kvantovaya Mekhanika. Nerelyativistskaya Teoriya (M.: Fizmatlit, 2016); Per. na angl. yaz., Landau L D, Lifshitz E M Quantum Mechanics. Non-Relativistic Theory (Oxford: Pergamon Press, 1977)
Akhiezer A I, Berestetskii V B Kvantovaya Elektrodinamika (M.: Nauka, 1969); Per. na angl. yaz., Akhiezer A I, Berestetskii V B Quantum Electrodynamics (New York: Intersci. Publ., 1965)
Simonov Yu A Perturbative And Nonperturbative Aspects Of Quantum Field Theory(Lecture Notes in Physics) Vol. 479 (Eds H Latal, W Schweiger) (Berlin: Springer, 1997) p. 139
Simonov Yu A Yadernaya Fizika58 113 (1995); Simonov Yu A Phys. Atom. Nucl.58 107 (1995)
Simonov Yu A QCD, Perturbative Or Nonperturbative? Proc. Of The XVII Autumn School, 29 September - 4 October 1999, Lisboa, Portugal (Eds L S Ferreira, P Nogueira, J I Silva-Marcos) (Singapore: World Scientific, 2001)
Weda J, Simonov Yu A, Tjon J A Few-Body Problems In Physics’02. Proc. Of The XVIIIth European Conf. On Few-Body Problems In Physics, Bled, Slovenia, September 8 - 14, 2002(Few-Body Systems, Supplement 14, Eds R Krivec) (Wien: Springer, 2003) p. 57