Electroweak properties of pions in a nuclear medium

Parada T. P. Hutauruk, Yongseok Oh, and K. Tsushima
Phys. Rev. C 99, 015202 – Published 10 January 2019

Abstract

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 of a dressed quark-antiquark pair obtained by the Bethe-Salpeter equation. For the in-medium current quark properties, we adopt the quark-meson coupling model, which describes successfully many hadron properties in a nuclear medium. The pion decay constant and the pion-quark coupling constant are found to decrease with increasing density as well as the magnitude of the light quark condensate. But the pion mass is found to be insensitive to density up to 1.25 times the normal nuclear density. The pion charge form factor in the spacelike region is also explored and is found to have a Q2 dependence similar to the form factor in vacuum, showing 1/Q2 behavior in the large Q2 region, where Q2 is the negative of the four-momentum transfer squared. The modifications of the charge radius of the charged pion in nuclear matter are then estimated and the root-mean-square radius at the normal nuclear density is predicted to be larger than that in vacuum by about 20%.

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  • Received 23 October 2018

DOI:https://doi.org/10.1103/PhysRevC.99.015202

©2019 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsNuclear Physics

Authors & Affiliations

Parada T. P. Hutauruk1,*, Yongseok Oh2,1,†, and K. Tsushima3,1,‡

  • 1Asia Pacific Center for Theoretical Physics, Pohang, Gyeongbuk 37673, Korea
  • 2Department of Physics, Kyungpook National University, Daegu 41566, Korea
  • 3Laboratório de Física Teórica e Computacional, Universidade Cruzeiro do Sul, 01506-000 São Paolo, São Paolo, Brazil

  • *parada.hutauruk@apctp.org
  • yohphy@knu.ac.kr
  • kazuo.tsushima@gmail.com

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Issue

Vol. 99, Iss. 1 — January 2019

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