Magnetic field induced hair structure in the charmonium gluon dissociation

Journal Article · 17 May 2022 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.105.094013 · OSTI ID:1980075

Hu, Jin  ^[1]; Shi, Shuzhe  ^[2]; Xu, Zhe ^[3]; Zhao, Jiaxing  ^[3]; Zhuang, Pengfei  ^[3]

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1. Tsinghua Univ., Beijing (China); OSTI
2. McGill Univ., Montreal, QC (Canada); Stony Brook Univ., NY (United States)
3. Tsinghua Univ., Beijing (China)

We study the electromagnetic field effect on charmonium gluon dissociation in quark-gluon plasma. With the effective Hamiltonian derived from QCD multipole expansion under an external electromagnetic field, we first solve the two-body Schrödinger equation for a pair of charm quarks with mean field potentials for color and electromagnetic interactions and obtain the charmonium binding energies and wave functions, and then calculate the gluon dissociation cross section and decay width by taking the color electric and magnetic dipole interactions as perturbations above the mean field and employing Fermi’s golden rule. Considering the charmonium deformation in a magnetic field, the discrete Landau energy levels make the dissociation cross section grow hair, and the electric dipole channel is significantly changed, especially for the $P$-wave states ${\chi }_{c0}$ and ${\chi }_{c\pm }$. From our numerical calculation, the magnetic field strength $eB=5m_{\pi }^2$ already changes the gluon dissociation strongly, which may indicate measurable effects in high-energy nuclear collisions.

• Research Organization: State Univ. of New York (SUNY), Albany, NY (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP); National Natural Science Foundation of China (NSFC); National Sciences and Engineering Research Council of Canada (NSERC)
• Grant/Contract Number: FG02-88ER40388
• OSTI ID: 1980075
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 9 Vol. 105; ISSN 2470-0010
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English