Mesons in ultra-intense magnetic field: an evaded collapse
1 A.I. Alikhanov Institute for Theoretical and Experimental Physics, Moscow 117218, Russia
2 Lebedev Physical Institute, Moscow 119991, Russia
3 Moscow Institute of Physics and Technology, Dolgoprudny 141700, Moscow Region, Russia
Published online: 22 March 2017
Spectra of qq̄ 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 π- and ρ-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.
© The Authors, published by EDP Sciences, 2017
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