Polarizability of pseudoscalar mesons from the lattice calculations

E.V. Luschevskaya; O.E. Soloveva; O.V. Teryaev

doi:10.1051/epjconf/201612604027

EPJ

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Proceedings

Open Access

EPJ Web of Conferences 126, 04027 (2016)
https://doi.org/10.1051/epjconf/201612604027

Polarizability of pseudoscalar mesons from the lattice calculations

E.V. Luschevskaya¹^,2^,3^a, O.E. Soloveva¹^,2 and O.V. Teryaev⁴^,2

¹ State Scientific Center of the Russian Federation - Institute for Theoretical and Experimental Physics, 117218 Moscow, Russia
² National Research Nuclear University “MEPhI” (Moscow Engineering Physics Institute), Kashirskoe highway 31, 115409 Moscow, Russia
³ School of Biomedicine, Far Eastern Federal University, 690950 Vladivostok, Russia
⁴ Joint Institute for Nuclear Research, Dubna, 141980, Russia

^a e-mail: luschevskaya@itep.ru

Published online: 4 November 2016

Abstract

We explore the energy dependence of neutral and charge pions of the background constant abelian magnetic field in SU(3) lattice gauge theory without dynamical quarks. The energy of neutral pseudoscalar meson diminishes with the field, while the energy of charged one increases according with the theoretical expectations. Based on these data we estimate the magnetic polarizabilities of π⁰ and π^± mesons for various quark masses.

© The Authors, published by EDP Sciences, 2016

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.