Chinese Physics C > 2018, Vol. 42 > Issue(8): 083103 DOI: 10.1088/1674-1137/42/8/083103

Calculation of dissociation temperature of quarkonium using Gaussian Expansion Method

1.
Department of Physics, Nanjing University, Nanjing 210093, China
2.
Department of Physics, Nanjing Normal University, Nanjing 210046, China
3.
Department of Physics, Nanjing University, Nanjing 210093, China
4.
Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China
5.
State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing 100190, China

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Abstract：
The dissociation temperatures of quarkonium states in a thermal medium are obtained in the framework of the quark model with the help of the Gaussian Expansion Method (GEM). This is the first time this method has been applied to the dissociation problem of mesons. The temperature-dependent potential is obtained by fitting the lattice results. Solving the Schrödinger equation with the GEM, the binding energies and corresponding wave functions of the ground states and the excited states are obtained at the same time. The accuracy and efficiency of the GEM provide a great advantage for the dissociation problem of mesons. The results show that the ground states 1 ¹ S ₀and 1 ³ S ₁have much higher dissociation temperatures than other states, and the spin-dependent interaction has a significant effect on the dissociation temperatures of 1 ³ S ₁and 1 ¹ S ₀. We also suggest using the radius of the bound state as a criterion of quarkonium dissociation. This can help to avoid the inaccuracy caused by the long tail of quarkonium binding energy dependence on temperature.
- dissociation temperature,
- quarkonium,
- gaussian expansion method

References

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Qi Meng, Qian Wu, Peng Cheng, Jialun Ping and Hongshi Zong. Calculation of dissociation temperature of quarkonium using Gaussian Expansion Method[J]. Chinese Physics C, 2018, 42(8): 083103. doi: 10.1088/1674-1137/42/8/083103

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Received: 2018-02-18
Revised: 2018-05-09

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Supported by National Natural Science Foundation of China (11475085, 11535005, 11775118, 11690030), the Fundamental Research Funds for the Central Universities (020414380074) and the International Science Technology Cooperation Program of China (2016YFE0129300)

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

Calculation of dissociation temperature of quarkonium using Gaussian Expansion Method

1. Department of Physics, Nanjing University, Nanjing 210093, China
2. Department of Physics, Nanjing Normal University, Nanjing 210046, China
3. Department of Physics, Nanjing University, Nanjing 210093, China
4. Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China
5. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing 100190, China

Received Date:2018-02-18
Accepted Date:2018-05-09
Available Online:2018-08-05

Fund Project:Supported by National Natural Science Foundation of China (11475085, 11535005, 11775118, 11690030), the Fundamental Research Funds for the Central Universities (020414380074) and the International Science Technology Cooperation Program of China (2016YFE0129300)

Abstract:The dissociation temperatures of quarkonium states in a thermal medium are obtained in the framework of the quark model with the help of the Gaussian Expansion Method (GEM). This is the first time this method has been applied to the dissociation problem of mesons. The temperature-dependent potential is obtained by fitting the lattice results. Solving the Schrödinger equation with the GEM, the binding energies and corresponding wave functions of the ground states and the excited states are obtained at the same time. The accuracy and efficiency of the GEM provide a great advantage for the dissociation problem of mesons. The results show that the ground states 1¹S₀and 1³S₁have much higher dissociation temperatures than other states, and the spin-dependent interaction has a significant effect on the dissociation temperatures of 1³S₁and 1¹S₀. We also suggest using the radius of the bound state as a criterion of quarkonium dissociation. This can help to avoid the inaccuracy caused by the long tail of quarkonium binding energy dependence on temperature.