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The behavior of charged and neutral pion masses in the presence of a static uniform magnetic field is studied in the framework of the two-flavor Nambu-Jona-Lasinio (NJL) model. Analytical calculations are carried out employing the Ritus…

High Energy Physics - Phenomenology · Physics 2018-05-07 M. Coppola , D. Gomez Dumm , N. N. Scoccola

The behavior of charged pion masses in the presence of a static uniform magnetic field is studied in the framework of the two-flavor NJL model, using a magnetic field-independent regularization scheme. Analytical calculations are carried…

High Energy Physics - Phenomenology · Physics 2019-08-29 M. Coppola , D. Gomez Dumm , N. N. Scoccola

This study examines the spectral functions of neutral ($\pi_0$) and charged ($\pi_{\pm}$) pions under a uniform magnetic field using the SU(2) Nambu-Jona-Lasinio (NJL) model with the Ritus method. The analysis highlights the complex…

High Energy Physics - Phenomenology · Physics 2026-04-30 Jie Mei , Rui Wen , Min Zhou , Shijun Mao , Mei Huang

The behavior of $\pi^0$ meson properties in the presence of a uniform external magnetic field is studied in the context of a nonlocal extension of the Polyakov-Nambu-Jona-Lasinio model. The analysis includes the $\pi^0$ mass, the effective…

High Energy Physics - Phenomenology · Physics 2020-07-08 D. Gómez Dumm , M. F. Izzo Villafañe , N. N. Scoccola

We study the effect of a uniform magnetic field $\vec B$ on the decays $\pi^-\to l^-\,\bar{\nu}_l$, where $l^-\,=e^-,\,\mu^-$, carrying out a general analysis that includes four $\pi^-$ decay constants. Taking the values of these constants…

High Energy Physics - Phenomenology · Physics 2020-10-01 M. Coppola , D. Gomez Dumm , S. Noguera , N. N. Scoccola

In this work, the mass of the neutral pion is investigated in the presence of background magnetic fields in the framework of the Nambu--Jona-Lasinio model. Taking into account the anisotropic four-fermion interactions, a tensor current…

High Energy Physics - Phenomenology · Physics 2023-05-10 Jingyi Chao , Yu-Xin Liu

The properties of the neutral pion in quark matter under the influence of an external magnetic field are studied. The effects of the anomalous magnetic moments (AMM) of the quarks at finite density is considered. The inclusion of the AMM…

High Energy Physics - Phenomenology · Physics 2023-12-22 R. M. Aguirre

We consider the two flavor Nambu--Jona-Lasinio model within the RPA framework to evaluate the masses of the $\sigma$ and $\pi^0$ mesons and the $\pi^0$ decay constant in the presence of a magnetic field at vanishing temperatures and…

High Energy Physics - Phenomenology · Physics 2016-02-17 Sidney S. Avancini , William R. Tavares , Marcus B. Pinto

Both in heavy-ion collisions as in magnetars very strong magnetic fields are produced, which has its influence on the phases of matter involved. In this paper we investigate the effect of strong magnetic fields (B = 5 m_pi^2 /e = 1.7 x…

High Energy Physics - Phenomenology · Physics 2010-04-14 Jorn K. Boomsma , Daniel Boer

We study the anomalous $\pi^0 \to \gamma\gamma$ decay under an external uniform magnetic field in the framework of a two-flavor Nambu-Jona-Lasinio model. It is seen that the full decay width gets strongly reduced with the external field,…

High Energy Physics - Phenomenology · Physics 2025-09-29 Máximo Coppola , Daniel Gomez Dumm , Norberto N. Scoccola

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…

High Energy Physics - Phenomenology · Physics 2018-02-28 D. Gomez Dumm , M. F. Izzo Villafañe , N. N. Scoccola

In this work we investigate the combined finite-size and thermomagnetic effects on the properties of neutral mesons in a hot medium, in the context of the Nambu--Jona-Lasinio model. In particular, by using the mean-field approximation and…

High Energy Physics - Phenomenology · Physics 2022-03-18 Luciano M. Abreu , Emerson B. S. Corrêa , Elenilson S. Nery

Pions in external magnetic field are investigated in the frame of a Pauli-Villars regularized Nambu--Jona-Lasinio model. The meson propagators in terms of quark bubbles in Ritus and Schwinger schemes are analytically derived, and pion…

Nuclear Theory · Physics 2019-03-29 Shijun Mao

We investigate both (pseudo)scalar mesons and diquarks in the presence of external magnetic field in the framework of the two-flavored Nambu--Jona-Lasinio (NJL) model, where mesons and diquarks are constructed by infinite sum of quark-loop…

High Energy Physics - Phenomenology · Physics 2018-04-25 Hao Liu , Xinyang Wang , Lang Yu , Mei Huang

We investigate the properties of neutral and charged pions in a constant background magnetic field mainly at zero temperature within the Nambu--Jona-Lasinio model. In the previous calculations, the Ritus method, involving Schwinger phases…

Nuclear Theory · Physics 2022-01-14 Jianing Li , Gaoqing Cao , Lianyi He

The influence of the magnetic field on the pion superfluidity and the phase structure is analyzed in the framework of the two-flavor Nambu--Jona-Lasinio(NJL) model. To do this, we first derive the thermodynamic potential from the Lagrangian…

High Energy Physics - Phenomenology · Physics 2013-10-14 Xiaohan Kang , Meng Jin , Juan Xiong , Jiarong Li

A short review of the development of the Nambu-Jona-Lasinio (NJL) model is given. The SU(2)x SU(2) and U(3)x U(3) local quark NJL models are considered. The mechanisms of spontaneous breaking of chiral symmetry and vector dominance are…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. K. Volkov , A. E. Radzhabov

The charge form factor and weak decay constant of the pion as well as the pion-quark coupling constant in symmetric nuclear matter are explored in the framework of the Nambu--Jona-Lasinio model, where the pion is described as a bound state…

Nuclear Theory · Physics 2019-01-16 Parada T. P. Hutauruk , Yongseok Oh , K. Tsushima

We calculate the neutral pion mass in the presence of an external magnetic field of arbitrary strength in the framework of the linear sigma model coupled to quarks at zero temperature. We find nonmonotonic behavior of the pion mass as a…

High Energy Physics - Phenomenology · Physics 2020-04-29 Aritra Das , Najmul Haque

The baryonic form factor of charged pions is studied in detail in the Nambu--Jona-Lasinio model with constituent quarks, where the spontaneously broken chiral symmetry is the key dynamical ingredient guaranteeing the would-be Goldstone…

High Energy Physics - Phenomenology · Physics 2022-08-17 Wojciech Broniowski , Enrique Ruiz Arriola , Pablo Sanchez-Puertas
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