Magnetic Catalysis of charmonium in the vector channel

Fuente: arXiv
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Main Authors: Dominguez, Cesareo A., Koning, Michael, Hernández, Luis A.
Format: Preprint
Published: 2025
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author Dominguez, Cesareo A.
Koning, Michael
Hernández, Luis A.
author_facet Dominguez, Cesareo A.
Koning, Michael
Hernández, Luis A.
contents We investigate the impact of an external magnetic field on the vector charmonium system within the framework of Hilbert moment QCD sum rules. By incorporating magnetic corrections to the perturbative contributions of the QCD sector, we analyze the behavior of the hadronic parameters of the $J/ψ$ resonance -- namely, its continuum threshold $s_0$, decay constant $f_V$, width $Γ_V$, and its mass $M_V$, as functions of the magnetic field strength. Our results show that $s_0$ and $f_V$ increase monotonically, while $Γ_V$ decreases significantly and $M_V$ remains essentially constant. These behaviors indicate a strengthening of the hadronic state in the presence of a magnetic field, consistent with the phenomenon of magnetic catalysis. Although magnetic catalysis has traditionally been associated with light-quark systems via chiral symmetry breaking, our results demonstrate that similar effects persist in the heavy-quark sector, despite the absence of chiral dynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2510_09927
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Magnetic Catalysis of charmonium in the vector channel
Dominguez, Cesareo A.
Koning, Michael
Hernández, Luis A.
High Energy Physics - Phenomenology
High Energy Physics - Theory
We investigate the impact of an external magnetic field on the vector charmonium system within the framework of Hilbert moment QCD sum rules. By incorporating magnetic corrections to the perturbative contributions of the QCD sector, we analyze the behavior of the hadronic parameters of the $J/ψ$ resonance -- namely, its continuum threshold $s_0$, decay constant $f_V$, width $Γ_V$, and its mass $M_V$, as functions of the magnetic field strength. Our results show that $s_0$ and $f_V$ increase monotonically, while $Γ_V$ decreases significantly and $M_V$ remains essentially constant. These behaviors indicate a strengthening of the hadronic state in the presence of a magnetic field, consistent with the phenomenon of magnetic catalysis. Although magnetic catalysis has traditionally been associated with light-quark systems via chiral symmetry breaking, our results demonstrate that similar effects persist in the heavy-quark sector, despite the absence of chiral dynamics.
title Magnetic Catalysis of charmonium in the vector channel
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2510.09927