Baryon electric charge correlation as a magnetometer of QCD

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Main Authors: Ding, Heng-Tong, Gu, Jin-Biao, Kumar, Arpith, Li, Sheng-Tai, Liu, Jun-Hong
Format: Preprint
Published: 2023
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_version_ 1866913351931527168
author Ding, Heng-Tong
Gu, Jin-Biao
Kumar, Arpith
Li, Sheng-Tai
Liu, Jun-Hong
author_facet Ding, Heng-Tong
Gu, Jin-Biao
Kumar, Arpith
Li, Sheng-Tai
Liu, Jun-Hong
contents The correlation between net baryon number and electric charge, $χ_{11}^{\rm BQ}$, can serve as a magnetometer of QCD. This is demonstrated by lattice QCD computations using the highly improved staggered quarks with physical pion mass of $M_π=135~$MeV on $N_τ=8$ and 12 lattices. We find that $χ_{11}^{\rm BQ}$ along the transition line starts to increase rapidly with magnetic field strength $eB\gtrsim 2M_π^2$ and by a factor 2 at $eB\simeq 8M_π^2$. Furthermore, the ratio of electric charge chemical potential to baryon chemical potential, $μ_{\rm Q}/μ_{\rm B}$, shows significant dependence on the magnetic field strength and varies from the ratio of electric charge to baryon number in the colliding nuclei in heavy ion collisions. These results can provide baselines for effective theory and model studies, and both $χ_{11}^{\rm BQ}$ and $μ_{\rm Q}/μ_{\rm B}$ could be useful probes for the detection of magnetic fields in relativistic heavy ion collision experiments as compared with corresponding results from the hadron resonance gas model.
format Preprint
id arxiv_https___arxiv_org_abs_2312_08860
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Baryon electric charge correlation as a magnetometer of QCD
Ding, Heng-Tong
Gu, Jin-Biao
Kumar, Arpith
Li, Sheng-Tai
Liu, Jun-Hong
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Experiment
Nuclear Theory
The correlation between net baryon number and electric charge, $χ_{11}^{\rm BQ}$, can serve as a magnetometer of QCD. This is demonstrated by lattice QCD computations using the highly improved staggered quarks with physical pion mass of $M_π=135~$MeV on $N_τ=8$ and 12 lattices. We find that $χ_{11}^{\rm BQ}$ along the transition line starts to increase rapidly with magnetic field strength $eB\gtrsim 2M_π^2$ and by a factor 2 at $eB\simeq 8M_π^2$. Furthermore, the ratio of electric charge chemical potential to baryon chemical potential, $μ_{\rm Q}/μ_{\rm B}$, shows significant dependence on the magnetic field strength and varies from the ratio of electric charge to baryon number in the colliding nuclei in heavy ion collisions. These results can provide baselines for effective theory and model studies, and both $χ_{11}^{\rm BQ}$ and $μ_{\rm Q}/μ_{\rm B}$ could be useful probes for the detection of magnetic fields in relativistic heavy ion collision experiments as compared with corresponding results from the hadron resonance gas model.
title Baryon electric charge correlation as a magnetometer of QCD
topic High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Experiment
Nuclear Theory
url https://arxiv.org/abs/2312.08860