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The properties of non-interacting $\sigma$ and $\pi^{0}$ mesons are studied at finite temperature, chemical potential and in the presence of a constant magnetic field. To do this, the energy dispersion relations of these particles,…

High Energy Physics - Phenomenology · Physics 2015-06-05 Sh. Fayazbakhsh , S. Sadeghian , N. Sadooghi

The $\pi_0$ neutral meson pole mass is calculated in a strongly magnetized medium using the SU(2) Nambu-Jona-Lasinio model within the random phase approximation (RPA) at zero temperature and zero baryonic density. We employ a magnetic field…

High Energy Physics - Phenomenology · Physics 2017-02-23 Sidney S. Avancini , Ricardo L. S. Farias , Marcus Benghi Pinto , William R. Tavares , Varese S. Timóteo

In this work, we investigate not only the pole masses but also the screening masses of neutral pions at finite temperature and magnetic field by utilizing the random phase approximation (RPA) approach in the framework of the two-flavor…

High Energy Physics - Phenomenology · Physics 2021-05-12 Bingkai Sheng , Yuanyuan Wang , Xinyang Wang , Lang Yu

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

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

We study the mass spectra and decay process of $\sigma$ and $\pi_0$ mesons under strong external magnetic field. For this purpose, we deduce the thermodynamic potential in a two-flavor, hot and magnetized Nambu-Jona-Lasinio model. We…

High Energy Physics - Phenomenology · Physics 2022-04-14 Shuyun Yang , Meng Jin , Defu Hou

By extending the $\Phi$-derivable approach in Nambu-Jona-Lasinio model to finite magnetic field we calculate the properties of pion, $\sigma$ and $\rho$ mesons in a magnetic field at finite temperature in not only the quark-antiquark bound…

High Energy Physics - Phenomenology · Physics 2016-07-13 Rui Zhang , Wei-jie Fu , Yu-xin Liu

In this work we calculate the pole-mass of the $\rho^0$ meson with different spin projections $s_z=0,\pm 1$ in the context of the magnetized two-flavor Nambu--Jona--Lasinio model. Making use of the mean field approximation to obtain the…

High Energy Physics - Phenomenology · Physics 2022-06-22 Sidney S. Avancini , Ricardo L. S. Farias , William R. Tavares , Varese S. Timóteo

The behavior of neutral pseudoscalar mesons $\pi^0, \eta$ and $\eta'$ in hot and dense matter is investigated, in the framework of the three flavor Nambu-Jona-Lasinio model. Three different scenarios are considered: zero density and finite…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , M. C. Ruivo , Yu. L. Kalinovsky

In the framework of the Nambu--Jona-Lasino (NJL) model, we study the effect of an intense external uniform magnetic field on neutral and charged pion masses and decay form factors. In particular, the treatment of charged pions is carried…

High Energy Physics - Phenomenology · Physics 2019-09-24 M. Coppola , D. Gomez Dumm , S. Noguera , N. N. Scoccola

We study neutral and charged meson properties in magnetic field. Taking bosolization method in a two-flavor Nambu--Jona-Lasinio model, we derive effective meson Lagrangian density with minimal coupling to the magnetic field, by employing…

High Energy Physics - Phenomenology · Physics 2018-02-28 Ziyue Wang , Pengfei Zhuang

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

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

The effective masses of the neutral mesons in a hadronic medium and under an external magnetic field are evaluated as functions of the baryonic density and the field intensity. For this purpose the meson polarization is evaluated in the one…

Nuclear Theory · Physics 2017-11-27 R. M. Aguirre

We explore the properties of neutral mesons within the context of a chirally imbalanced medium, employing the two-flavor Nambu--Jona-Lasinio model. The temperature dependence of the constituent quark mass at finite values of the chiral…

High Energy Physics - Phenomenology · Physics 2024-01-23 Snigdha Ghosh , Nilanjan Chaudhuri , Sourav Sarkar , Pradip Roy

The mass spectra of $\rho$ mesons ($\rho_{Q=\pm 1}^{s_z=0,\pm 1}$ and $\rho_{Q=0}^{s_z=0,\pm 1}$) at finite magnetic field and temperature are studied in frame of the two-flavor Nambu-Jona-Lasinio model. Fully considering the breaking of…

Nuclear Theory · Physics 2026-05-04 Zhiyang Liu , Min Zhou , Yvming Tian , Rui Zhou , Guoyun Shao , Shijun Mao

Scalar meson contributions in chiral quark condensate are calculated for analytically regularized Nambu -- Jona-Lasinio model in framework of mean-field expansion in bilocal-source formalism. Sigma-meson contribution for physical values of…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. G. Jafarov , V. E. Rochev

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

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

In this article, we calculate the magnetization and other thermodynamical quantities for strongly magnetized quark matter within the Nambu-Jona-Lasinio model at zero temperature. We assume two scenarios, chemically equilibrated charge…

High Energy Physics - Phenomenology · Physics 2018-04-04 Sidney S. Avancini , Veronica Dexheimer , Ricardo L. S. Farias , Varese S. Timóteo
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