Abstract
Study of the ground state energies of neutral and charged vector meson was performed in SU (3) lattice gauge theory in the strong abelian magnetic field. Our method allows us to distinguish the ground state energy of mesons for various spin projections on the axis of the external magnetic field . We are observe the splitting the ground state energy of ρ mesons depending on spin projections: for neutral ρ 0 meson with zero spin projection on the axis of the field ground state energy decreases, while the energies with non-zero spins increase with the field value. For charged ρ ± mesons we observe the agreement between Landau level picture and our data at magnetic field less then 0.6GeV 2 . The magnetic polarizabilities of vector mesons were found for the lattice volume 18 4 fitting the ground state energies. We found the g -factor of ρ ± in the chiral limit. This value is compatible with experimental determination and theoretical value from relativistic quark model.
Highlights
Magnetic polarizabilities and g-factors are fundamental characteristics of particles
We are observe the splitting the ground state energy of ρ mesons depending on spin projections: for neutral ρ0 meson with zero spin projection on the axis of the field ground state energy decreases, while the energies with non-zero spins increase with the field value
In this work we present the study of the ground state energies of neutral and charged vector meson in the strong abelian magnetic field from the S U(3) lattice gauge theory
Summary
Magnetic polarizabilities and g-factors are fundamental characteristics of particles. This parameters are interesting for understanding the internal structure of hadrons and effects which may appear in electromagnetic field. For hadrons the notion of polarizability was discussed in papers [2]-[4]. New notion of polarizability assumes process of the Compton scattering on particle. The electric and magnetic polarizabilities determine the response of hadron to two-photon interactions. In this work we will discuss the behaviour of the ground state energy of ρ mesons in the abelean strong magnetic field from the S U(3) lattice gauge theory. The g-factor and magnetic polarizabilities are parameters which determine the behaviour of the ground state energy
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