Neutral meson properties under an external magnetic field in nonlocal chiral quark models

We study the behavior of neutral meson properties in the presence of a static uniform external magnetic field in the context of nonlocal chiral quark models. The formalism is worked out introducing Ritus transforms of Dirac fields, which allow to obtain closed analytical expressions for π⁰ and σ mes...

Descripción completa

Detalles Bibliográficos
Autores: Gómez Dumm, Daniel Alberto, Izzo Villafañe, María Florencia, Scoccola, Norberto Nerio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/134742
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/134742
Access Level:acceso abierto
Palabra clave:Ciencias Exactas
Física
Magnetic interactions
Quark model
Light mesons
Chiral symmetry
Descripción
Sumario:We study the behavior of neutral meson properties in the presence of a static uniform external magnetic field in the context of nonlocal chiral quark models. The formalism is worked out introducing Ritus transforms of Dirac fields, which allow to obtain closed analytical expressions for π⁰ and σ meson masses and for the π⁰ decay constant. Numerical results for these observables are quoted for various parametrizations. In particular, the behavior of the π⁰ meson mass with the magnetic field is found to be in good agreement with lattice QCD results. It is also seen that the Goldberger-Treiman and Gell-Mann-Oakes-Renner chiral relations remain valid within these models in the presence of the external magnetic field.