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Main Authors: Ejima, Ren, Gubler, Philipp, Sasaki, Chihiro, Shigaki, Kenta
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2412.07399
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author Ejima, Ren
Gubler, Philipp
Sasaki, Chihiro
Shigaki, Kenta
author_facet Ejima, Ren
Gubler, Philipp
Sasaki, Chihiro
Shigaki, Kenta
contents The degeneracy of chiral partners is an ideal signal for measuring the restoration of the spontaneously broken chiral symmetry in QCD. In this work, we investigate the observability of the $ϕ$ - $f_1(1420)$ degeneracy in the J-PARC E16 experiment, which measures di-electrons emitted from 30 GeV pA collisions. We for this purpose make use of an effective Lagrangian approach, which naturally incorporates the broken charge-conjugation symmetry in nuclear matter and the ensuing anomaly-induced mixing between vector and axial-vector mesons, to compute the spectral function relevant for the experimental measurement. The real-time dynamics of the pA collision is obtained from a transport simulation. Including experimental background and resolution effects on top of that, we find that a signal of the $ϕ$ - $f_1(1420)$ mixing can be observed around 2.5 $σ$ with the Run2 statistics planned for the J-PARC E16 experiment with an ideal mixing strength.
format Preprint
id arxiv_https___arxiv_org_abs_2412_07399
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Toward a Direct Measurement of Partial Restoration of Chiral Symmetry at J-PARC E16 via Density-induced Chiral Mixing
Ejima, Ren
Gubler, Philipp
Sasaki, Chihiro
Shigaki, Kenta
High Energy Physics - Phenomenology
Nuclear Theory
The degeneracy of chiral partners is an ideal signal for measuring the restoration of the spontaneously broken chiral symmetry in QCD. In this work, we investigate the observability of the $ϕ$ - $f_1(1420)$ degeneracy in the J-PARC E16 experiment, which measures di-electrons emitted from 30 GeV pA collisions. We for this purpose make use of an effective Lagrangian approach, which naturally incorporates the broken charge-conjugation symmetry in nuclear matter and the ensuing anomaly-induced mixing between vector and axial-vector mesons, to compute the spectral function relevant for the experimental measurement. The real-time dynamics of the pA collision is obtained from a transport simulation. Including experimental background and resolution effects on top of that, we find that a signal of the $ϕ$ - $f_1(1420)$ mixing can be observed around 2.5 $σ$ with the Run2 statistics planned for the J-PARC E16 experiment with an ideal mixing strength.
title Toward a Direct Measurement of Partial Restoration of Chiral Symmetry at J-PARC E16 via Density-induced Chiral Mixing
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2412.07399