J/ψ near Tc

Taesoo Song; Philipp Gubler; Juhee Hong; Su Houng Lee; Kenji Morita

doi:10.1016/j.physletb.2021.136065

J/ψ near T_c

Taesoo Song, Philipp Gubler, Juhee Hong, Su Houng Lee, Kenji Morita

Department of Physics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We calculate the mass shift and thermal decay width of the J/ψ near the QCD transition temperature T_c by imposing two independent constraints on these variables that can be obtained first by solving the Schrödinger equation and second from the QCD sum rule approach. While the real part of the potential is determined by comparing the QCD sum rule result for charmonium and the D meson to that from the potential model result, the imaginary potential is taken to be proportional to the perturbative form multiplied by a constant factor, which in turn can be determined by applying the two independent constraints. The result shows that the binding energy and the thermal width becomes similar in magnitude at around T=1.09T_c, above which the sum rule analysis also becomes unstable, strongly suggesting that the J/ψ will melt slightly above T_c.

Original language	English
Article number	136065
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	813
DOIs	https://doi.org/10.1016/j.physletb.2021.136065
Publication status	Published - 2021 Feb 10

Bibliographical note

Funding Information:
The authors acknowledge useful discussions with N. Brambilla and A. Vairo, which partly motivated the work. This work was supported by the Samsung Science and Technology Foundation under Project Number SSTF-BA1901-04 . P.G. is supported by Grant-in-Aid for Early-Carrier Scientists (No. JP18K13542 ), Grant-in-Aid for Scientific Research (C) (No. JP20K03940 ), and the Leading Initiative for Excellent Young Researchers (LEADER) of the Japan Society for the Promotion of Science (JSPS).

Publisher Copyright:
© 2021 The Author(s)

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Access to Document

10.1016/j.physletb.2021.136065

Cite this

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title = "J/ψ near Tc",

abstract = "We calculate the mass shift and thermal decay width of the J/ψ near the QCD transition temperature Tc by imposing two independent constraints on these variables that can be obtained first by solving the Schr{\"o}dinger equation and second from the QCD sum rule approach. While the real part of the potential is determined by comparing the QCD sum rule result for charmonium and the D meson to that from the potential model result, the imaginary potential is taken to be proportional to the perturbative form multiplied by a constant factor, which in turn can be determined by applying the two independent constraints. The result shows that the binding energy and the thermal width becomes similar in magnitude at around T=1.09Tc, above which the sum rule analysis also becomes unstable, strongly suggesting that the J/ψ will melt slightly above Tc.",

author = "Taesoo Song and Philipp Gubler and Juhee Hong and Lee, {Su Houng} and Kenji Morita",

note = "Funding Information: The authors acknowledge useful discussions with N. Brambilla and A. Vairo, which partly motivated the work. This work was supported by the Samsung Science and Technology Foundation under Project Number SSTF-BA1901-04 . P.G. is supported by Grant-in-Aid for Early-Carrier Scientists (No. JP18K13542 ), Grant-in-Aid for Scientific Research (C) (No. JP20K03940 ), and the Leading Initiative for Excellent Young Researchers (LEADER) of the Japan Society for the Promotion of Science (JSPS). Publisher Copyright: {\textcopyright} 2021 The Author(s)",

year = "2021",

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day = "10",

doi = "10.1016/j.physletb.2021.136065",

language = "English",

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AU - Song, Taesoo

AU - Gubler, Philipp

AU - Hong, Juhee

AU - Lee, Su Houng

AU - Morita, Kenji

N1 - Funding Information: The authors acknowledge useful discussions with N. Brambilla and A. Vairo, which partly motivated the work. This work was supported by the Samsung Science and Technology Foundation under Project Number SSTF-BA1901-04 . P.G. is supported by Grant-in-Aid for Early-Carrier Scientists (No. JP18K13542 ), Grant-in-Aid for Scientific Research (C) (No. JP20K03940 ), and the Leading Initiative for Excellent Young Researchers (LEADER) of the Japan Society for the Promotion of Science (JSPS). Publisher Copyright: © 2021 The Author(s)

PY - 2021/2/10

Y1 - 2021/2/10

N2 - We calculate the mass shift and thermal decay width of the J/ψ near the QCD transition temperature Tc by imposing two independent constraints on these variables that can be obtained first by solving the Schrödinger equation and second from the QCD sum rule approach. While the real part of the potential is determined by comparing the QCD sum rule result for charmonium and the D meson to that from the potential model result, the imaginary potential is taken to be proportional to the perturbative form multiplied by a constant factor, which in turn can be determined by applying the two independent constraints. The result shows that the binding energy and the thermal width becomes similar in magnitude at around T=1.09Tc, above which the sum rule analysis also becomes unstable, strongly suggesting that the J/ψ will melt slightly above Tc.

AB - We calculate the mass shift and thermal decay width of the J/ψ near the QCD transition temperature Tc by imposing two independent constraints on these variables that can be obtained first by solving the Schrödinger equation and second from the QCD sum rule approach. While the real part of the potential is determined by comparing the QCD sum rule result for charmonium and the D meson to that from the potential model result, the imaginary potential is taken to be proportional to the perturbative form multiplied by a constant factor, which in turn can be determined by applying the two independent constraints. The result shows that the binding energy and the thermal width becomes similar in magnitude at around T=1.09Tc, above which the sum rule analysis also becomes unstable, strongly suggesting that the J/ψ will melt slightly above Tc.

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