Calculation of dissociation temperature of quarkonium using Gaussian Expansion Method

  • 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 11S0 and 13S1 have much higher dissociation temperatures than other states, and the spin-dependent interaction has a significant effect on the dissociation temperatures of 13S1 and 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.
      PCAS:
  • 加载中
  • [1] H. Satz, Journal of Physics G:Nuclear and Particle Physics, 32:R25 (2006)
    [2] T. Matsui and H. Satz, Physics Letters B, 178:416 (1986)
    [3] Z. Qu, Y. P. Liu, and P. F. Zhuang, Chin. Phys. Lett., 29:031201 (2012)
    [4] H. Satz, J. Phys. Conf. Ser., 455:012045 (2013)
    [5] E. Hiyama, Y. Kino, and M. Kamimura, Prog. Part. Nucl. Phys., 51:223 (2003)
    [6] M. Asakawa, Y. Nakahara, and T. Hatsuda, Progress in Particle and Nuclear Physics, 46:459-508 (2001)
    [7] M. Asakawa and T. Hatsuda, Physical review letters, 92:012001 (2004)
    [8] T. Umeda, R. Katayama, O. Miyamura, and H. Mat-sufuru, International Journal of Modern Physics A, 16:2215-2241 (2001)
    [9] S. Datta, F. Karsch, P. Petreczky, and I. Wetzorke, Phys-ical Review D, 69:094507 (2004)
    [10] S. Datta, F. Karsch, P. Petreczky, and I. Wetzorke, Nuclear Physics B-Proceedings Supplements, 119:487-489 (2003)
    [11] V. V. Dixit, Modern Physics Letters A, 5:227-235 (1990)
    [12] S. Digal, P. Petreczky, and H. Satz, Physics Letters B, 514:57-62 (2001)
    [13] S. Digal, P. Petreczky, and H. Satz, Physical Review D, 64:094015 (2001)
    [14] S. Digal, O. Kaczmarek, F. Karsch, and H. Satz, The European Physical Journal C-Particles and Fields, 43:71-75 (2005)
    [15] O. Kaczmarek and F. Zantow, Physical Review D, 71:114510 (2005)
    [16] S.Borasnyi,Z.Fodor,S.D.Katz,A.Pasztor,K.K. Szabo, and C. Trk, Journal of High Energy Physics, 2015:138 (2015)
    [17] M. Kamimura, Physical Review A, 38:621 (1988)
    [18] M. Kamimura, Muon Catalyzed Fusion, 3:335 (1988)
    [19] E. Hiyama and T. Yamada, Progress in Particle and Nu-clear Physics, 63:339-395 (2009)
    [20] E. Hiyama, M. Kamimura, Y. Yamamoto, T. Motoba, and T. A. Rijken, Progress of Theoretical Physics Sup-plement, 185:106-151 (2001)
    [21] E. Hiyama and M. Kamimura, Physical Review A, 85:022502 (2012)
    [22] E. Hiyama and M. Kamimura, Physical Review A, 85:062505 (2012)
    [23] E. Hiyama, M. Kamimura, A. Hosaka, H. Toki, and M. Yahiro, Physics Letters B, 633:237-244 (2006)
    [24] P. Naidon, E. Hiyama, and M. Ueda, Physical Review A, 86:012502 (2012)
    [25] K. Nakamura, P. D. Group, et al, Journal of Physics G:Nuclear and Particle Physics, 37:075021 (2010)
    [26] J. Pantaleone, S.-H. H. Tye, and Y. J. Ng, Physical Review D, 33:777 (1986)
    [27] D. Gromes, Zeitschrift fr Physik C Particles and Fields, 11:147-152 (1981)
    [28] T. Barnes, S. Godfrey, and E. Swanson, Physical Review D, 72:054026 (2005)
    [29] K. A. Olive, P. D. Group, et al, Chinese Physics C, 38:090001 (2014)
    [30] E. V. Shuryak and I. Zahed, Physical Review D, 2004, 70:054507
  • 加载中

Get Citation
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
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 shu
Milestone
Received: 2018-02-18
Revised: 2018-05-09
Fund

    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)

Article Metric

Article Views(846)
PDF Downloads(23)
Cited by(0)
Policy on re-use
To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

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
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 11S0 and 13S1 have much higher dissociation temperatures than other states, and the spin-dependent interaction has a significant effect on the dissociation temperatures of 13S1 and 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.

    HTML

Reference (30)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return