Polarization-dependent mass modifications of $ϕ$ meson with finite momentum in nuclear matter

Fuente: arXiv
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Autores principales: Arifi, Ahmad Jafar, Gubler, Philipp, Tsushima, Kazuo
Formato: Preprint
Publicado: 2026
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author Arifi, Ahmad Jafar
Gubler, Philipp
Tsushima, Kazuo
author_facet Arifi, Ahmad Jafar
Gubler, Philipp
Tsushima, Kazuo
contents We investigate the in-medium properties of the $ϕ$ meson with finite momentum, going beyond the commonly studied case at rest. In a nuclear medium, Lorentz invariance is broken, leading to distinct longitudinal and transverse polarization modes that evolve differently with density and momentum. Within an effective Lagrangian approach, we calculate the polarization-dependent mass shifts and width modifications of the $ϕ$ meson arising from kaon loops and mean-field interactions. The divergent loop integrals are regulated using two different schemes: a covariant form factor and dimensional regularization. Our results show that the mass shift of the transverse polarization is independent of the $ϕ$-meson momentum, whereas that of the longitudinal polarization decreases quadratically with momentum. This difference originates from the coupling of the longitudinal mode to the vector mean field and derivative-type interactions in the self-energy. These effects have direct implications for experimental observables, especially for upcoming measurements at J-PARC, and provide a new prediction for experiments studying hadron dynamics in dense matter.
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id arxiv_https___arxiv_org_abs_2603_15971
institution arXiv
publishDate 2026
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spellingShingle Polarization-dependent mass modifications of $ϕ$ meson with finite momentum in nuclear matter
Arifi, Ahmad Jafar
Gubler, Philipp
Tsushima, Kazuo
High Energy Physics - Phenomenology
Nuclear Theory
We investigate the in-medium properties of the $ϕ$ meson with finite momentum, going beyond the commonly studied case at rest. In a nuclear medium, Lorentz invariance is broken, leading to distinct longitudinal and transverse polarization modes that evolve differently with density and momentum. Within an effective Lagrangian approach, we calculate the polarization-dependent mass shifts and width modifications of the $ϕ$ meson arising from kaon loops and mean-field interactions. The divergent loop integrals are regulated using two different schemes: a covariant form factor and dimensional regularization. Our results show that the mass shift of the transverse polarization is independent of the $ϕ$-meson momentum, whereas that of the longitudinal polarization decreases quadratically with momentum. This difference originates from the coupling of the longitudinal mode to the vector mean field and derivative-type interactions in the self-energy. These effects have direct implications for experimental observables, especially for upcoming measurements at J-PARC, and provide a new prediction for experiments studying hadron dynamics in dense matter.
title Polarization-dependent mass modifications of $ϕ$ meson with finite momentum in nuclear matter
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2603.15971