• Open Access

Neutral and charged scalar mesons, pseudoscalar mesons, and diquarks in magnetic fields

Hao Liu, Xinyang Wang, Lang Yu, and Mei Huang
Phys. Rev. D 97, 076008 – Published 17 April 2018

Abstract

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 chains by using random phase approximation. The polarization function of the quark-loop is calculated to the leading order of 1/Nc expansion by taking the quark propagator in the Landau level representation. We systematically investigate the masses behaviors of scalar σ meson, neutral and charged pions as well as the scalar diquarks, with respect to the magnetic field strength at finite temperature and chemical potential. It is shown that the numerical results of both neutral and charged pions are consistent with the lattice QCD simulations. The mass of the charge neutral pion keeps almost a constant under the magnetic field, which is preserved by the remnant symmetry of QCD×QED in the vacuum. The mass of the charge neutral scalar σ is around two times quark mass and increases with the magnetic field due to the magnetic catalysis effect, which is an typical example showing that the polarized internal quark structure cannot be neglected when we consider the meson properties under magnetic field. For the charged particles, the one quark-antiquark loop contribution to the charged π± increases essentially with the increase of magnetic fields due to the magnetic catalysis of the polarized quarks. However, the one quark-quark loop contribution to the scalar diquark mass is negative comparing with the point-particle result and the loop effect is small.

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  • Received 16 January 2018

DOI:https://doi.org/10.1103/PhysRevD.97.076008

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsNuclear Physics

Authors & Affiliations

Hao Liu1,2,3, Xinyang Wang1, Lang Yu4, and Mei Huang1,2,5

  • 1Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
  • 2School of Physics Sciences, University of Chinese Academy of Sciences, Beijing 100039, China
  • 3Jinyuan Senior High School, Shanghai 200333, China
  • 4Center of Theoretical Physics and College of Physics, Jilin University, Changchun 130012, People’s Republic of China
  • 5Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, Beijing 100049, People’s Republic of China

Article Text

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Issue

Vol. 97, Iss. 7 — 1 April 2018

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