- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Rapid Communication
  • Access by Xinjiang University

Ab initio calculation of finite-temperature charmonium potentials

P. W. M. Evans1, C. R. Allton1, and J.-I. Skullerud2

  • 1Department of Physics, Swansea University, Swansea SA2 8PP, United Kingdom
  • 2Department of Mathematical Physics, National University of Ireland Maynooth Maynooth, County Kildare, Ireland

PDF

Phys. Rev. D 89, 071502(R) – Published 10 April, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.071502

Abstract

The interquark potential in charmonium states is calculated in both the zero and nonzero temperature phases from a first-principles lattice QCD calculation. Simulations with two dynamical quark flavors are used with temperatures T in the range 0.4Tc≲T≲1.7Tc, where Tc is the deconfining temperature. The correlators of point-split operators are analyzed to gain spatial information about the charmonium states. A method introduced by the HAL QCD Collaboration and based on the Schrödinger equation is applied to obtain the interquark potential. We find a clear temperature dependence with the central potential agreeing with the Cornell potential in the confined phase and becoming flatter (more screened) as the temperature increases past the deconfining temperature. This is the first time the interquark potential has been calculated for realistic quarks at finite temperature.

View figure in article

Article Text

References (32)

  1. J. Adams et al. (STAR Collaboration), Nucl. Phys. A757, 102 (2005).
  2. K. Adcox et al. (PHENIX Collaboration), Nucl. Phys. A757, 184 (2005).
  3. K. Aamodt et al. (ALICE Collaboration), Eur. Phys. J. C 65, 111 (2010).
  4. T. Matsui and H. Satz, Phys. Lett. B 178, 416 (1986).
  5. P. Braun-Munzinger and J. Stachel, Phys. Lett. B 490, 196 (2000).
  6. P. Braun-Munzinger and J. Stachel, Nucl. Phys. A690, 119 (2001).
  7. Y. -P. Liu, Z. Qu, N. Xu, and P.-F. Zhuang, Phys. Lett. B 678, 72 (2009).
  8. X. Zhao and R. Rapp, Nucl. Phys. A859, 114 (2011).
  9. S. Chatrchyan et al. (CMS Collaboration), Phys. Rev. Lett. 107, 052302 (2011).
  10. R. Reed, J. Phys. G 38, 124185 (2011).
  11. F. Karsch, M. T. Mehr, and H. Satz, Z. Phys. C 37, 617 (1988).
  12. Y. Burnier, M. Laine, and M. Vepsäläinen, J. High Energy Phys. 01 (2008) 043; N. Brambilla, J. Ghiglieri, A. Vairo, and P. Petreczky, Phys. Rev. D 78, 014017 (2008); A. Dumitru, Y. Guo, A. Mócsy, and M. Strickland, 79, 054019 (2009).
  13. O. Kaczmarek, F. Karsch, F. Zantow, and P. Petreczky, Phys. Rev. D 70, 074505 (2004); 72, 059903(E) (2005); Y. Maezawa, N. Ukita, S. Aoki, S. Ejiri, T. Hatsuda, N. Ishii, and K. Kanaya (WHOT-QCD Collaboration), 75, 074501 (2007); A. Mócsy and P. Petreczky, 77, 014501 (2008); Z. Fodor, A. Jakovác, S. D. Katz, and K. K. Szabo, Proc. Sci., LAT2007 (2007) 196; P. Petreczky, C. Miao, and A. Mócsy, Nucl. Phys. A855, 125 (2011); A. Bazavov and P. Petreczky, A904–905, 599c (2013).
  14. O. Kaczmarek and F. Zantow, Phys. Rev. D 71, 114510 (2005).
  15. A. Bazavov and P. Petreczky, Static quark correlators and quarkonium properties at non-zero temperature, arXiv:1211.5638.
  16. A. Rothkopf, T. Hatsuda, and S. Sasaki, Proc. Sci., LAT2009 (2009) 162; Phys. Rev. Lett. 108, 162001 (2012).
  17. Y. Burnier and A. Rothkopf, Phys. Rev. D 86, 051503 (2012).
  18. Y. Ikeda and H. Iida, Proc. Sci., LATTICE2010 (2010) 143; T. Kawanai and S. Sasaki, Phys. Rev. Lett. 107, 091601 (2011); Phys. Rev. D 85, 091503 (2012); Proc. Sci., LATTICE2011 (2011) 126; Proc. Sci., LATTICE2011 (2011) 195.
  19. N. Ishii, S. Aoki, and T. Hatsuda, Phys. Rev. Lett. 99, 022001 (2007); S. Aoki, T. Hatsuda, and N. Ishii, Prog. Theor. Phys. 123, 89 (2010); S. Aoki et al. (HAL QCD Collaboration), Prog. Theor. Exp. Phys. 2012, 01A105 (2012).
  20. N. Ishii (HAL QCD Collaboration), Proc. Sci., LATTICE2011 (2011) 160; N. Ishii, S. Aoki, T. Doi, T. Hatsuda, Y. Ikeda, T. Inoue, K. Murano, H. Nemura, and K. Sasaki (HAL QCD Collaboration), Phys. Lett. B 712, 437 (2012).
  21. C. Allton, W. Evans, and J.-I. Skullerud, Proc. Sci., LATTICE2012 (2012) 082.
  22. R. Morrin, A. Ó Cais, M. Peardon, S. M. Ryan, and J.-I. Skullerud, Phys. Rev. D 74, 014505 (2006).
  23. M. B. Oktay and J.-I. Skullerud, arXiv:1005.1209.
  24. E. Eichten, K. Gottfried, T. Kinoshita, K. D. Lane, and T.-M. Yan, Phys. Rev. D 21, 203 (1980).
  25. O. Jahn and O. Philipsen, Phys. Rev. D 70, 074504 (2004); O. Philipsen, Nucl. Phys. A820, 33c (2009).
  26. C.-Y. Wong, Phys. Rev. C 72, 034906 (2005).
  27. G. Aarts, C. Allton, M. B. Oktay, M. Peardon, and J.-I. Skullerud, Phys. Rev. D 76, 094513 (2007).
  28. G. Aarts, S. Kim, M. P. Lombardo, M. B. Oktay, S. M. Ryan, D. K. Sinclair, and J.-I. Skullerud, Phys. Rev. Lett. 106, 061602 (2011).
  29. G. Aarts, C. Allton, S. Kim, M. P. Lombardo, M. B. Oktay, S. M. Ryan, D. K. Sinclair, and J. I. Skullerud, J. High Energy Phys. 11 (2011) 103.
  30. G. Aarts, C. Allton, S. Kim, M. P. Lombardo, M. B. Oktay, S. M. Ryan, D. K. Sinclair, and J.-I. Skullerud, J. High Energy Phys. 03 (2013) 084.
  31. R. G. Edwards and B. Joó (SciDAC, LHPC, and UKQCD Collaborations), Nucl. Phys. B, Proc. Suppl. 140, 832 (2005).

  32. Only on-axis separations were studied in this work.

Outline

Information

Phys. Rev. D 89, 071502(R)– Published 10 April, 2014
  • Received 22 March 2013

© 2014 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation