Medium effects on the electromagnetic form factors of the $ρ$ meson

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Hauptverfasser: Hutauruk, Parada T. P., Mart, Terry, Tsushima, Kazuo
Format: Preprint
Veröffentlicht: 2025
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author Hutauruk, Parada T. P.
Mart, Terry
Tsushima, Kazuo
author_facet Hutauruk, Parada T. P.
Mart, Terry
Tsushima, Kazuo
contents The dynamics of partons inside the light $ρ$ meson is found to be essential for its properties and internal structure, both in free space and in the nuclear medium. In this paper, we systematically investigate the in-medium structure changes of $ρ^+$ mesons within the covariant Nambu-Jona-Lasinio (NJL) model, utilizing the Schwinger proper-time regularization scheme. We solve the Bethe-Salpeter equations to guarantee the bound meson-state condition. At the quark level, the nuclear medium effects are also derived within the same NJL model to maintain a consistent approach with the in-medium $ρ^+$ meson electromagnetic form factors. To this end, we analyze the spacelike electromagnetic form factors of the $ρ^+$ meson in free space and in a nuclear medium. We find that the charge radius and quadrupole moment of the $ρ^+$ meson increase with increasing nuclear matter density, while the magnetic moment decreases, in agreement with the existing previous theoretical predictions. The enhancement of the $ρ^+$ meson charge radius at normal density relative to that in free space is about 11\% (0.08 fm), while the reduction of $ρ^+$ meson magnetic moment is about 8\% (0.20 $μ_N$). Our predictions for the charge radius, magnetic moment, and quadrupole moment of the $ρ^+$ meson in both free space and nuclear medium, remain challenging to be verified experimentally.
format Preprint
id arxiv_https___arxiv_org_abs_2508_20501
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Medium effects on the electromagnetic form factors of the $ρ$ meson
Hutauruk, Parada T. P.
Mart, Terry
Tsushima, Kazuo
Nuclear Theory
High Energy Physics - Phenomenology
The dynamics of partons inside the light $ρ$ meson is found to be essential for its properties and internal structure, both in free space and in the nuclear medium. In this paper, we systematically investigate the in-medium structure changes of $ρ^+$ mesons within the covariant Nambu-Jona-Lasinio (NJL) model, utilizing the Schwinger proper-time regularization scheme. We solve the Bethe-Salpeter equations to guarantee the bound meson-state condition. At the quark level, the nuclear medium effects are also derived within the same NJL model to maintain a consistent approach with the in-medium $ρ^+$ meson electromagnetic form factors. To this end, we analyze the spacelike electromagnetic form factors of the $ρ^+$ meson in free space and in a nuclear medium. We find that the charge radius and quadrupole moment of the $ρ^+$ meson increase with increasing nuclear matter density, while the magnetic moment decreases, in agreement with the existing previous theoretical predictions. The enhancement of the $ρ^+$ meson charge radius at normal density relative to that in free space is about 11\% (0.08 fm), while the reduction of $ρ^+$ meson magnetic moment is about 8\% (0.20 $μ_N$). Our predictions for the charge radius, magnetic moment, and quadrupole moment of the $ρ^+$ meson in both free space and nuclear medium, remain challenging to be verified experimentally.
title Medium effects on the electromagnetic form factors of the $ρ$ meson
topic Nuclear Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2508.20501