HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 117 (2007) > Number 5
| Next Article >

Prog. Theor. Phys. Vol. 117 No. 5 (2007) pp. 903-921

[ Full Text PDF (649K) ]  [ Buy This Article ]

A Chiral Symmetric Relativistic Mean Field Model with a Logarithmic sigma Potential

Kohsuke Tsubakihara and Akira Ohnishi

Department of Physics, Faculty of Science, Hokkaido University,
Sapporo 060-0810, Japan

(Received October 4, 2006)

Abstract:

We develop a chiral symmetric relativistic mean field model with a logarithmic sigma potential derived in the strong coupling limit of lattice QCD. We find that both nuclear matter and finite nuclei are accurately described by the present model. The normal vacuum is found to be globally stable at zero and finite baryon densities, and an equation of state with moderate stiffness (K \simeq280 MeV) is obtained. The binding energies and charge radii of Z closed even-even nuclei are accurately predicted over a wide mass range from C to Pb isotopes, except for underestimates of the binding energies for several jj closed nuclei.


URL : http://ptp.ipap.jp/link?PTP/117/903/
DOI : 10.1143/PTP.117.903

[ Full Text PDF (649K) ]  [ Buy This Article ]  Citation:

References:

  1. H. Yukawa, Proc. Phys.-Math. Soc. Jpn. 17 (1935), 48.
  2. M. Gell-Mann and M. Levy, Nuovo Cim. 16 (1960), 705.
  3. Y. Nambu and G. Jona-Lasino, Phys. Rev. 122 (1961), 345[APS]; Phys. Rev. 124 (1961), 246[APS].
  4. T. Hatsuda and T. Kunihiro, Phys. Rep. 247 (1994), 221[CrossRef]; hep-ph/9401310[e-print arXiv].
  5. S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (John Wiley & Sons, New York, 1972).
    J. Gasser and H. Lertwyler, Ann. of Phys. 158 (1984), 142[CrossRef]; Nucl. Phys. B 250 (1985), 465[CrossRef].
  6. B. D. Serot and J. D. Walecka, Adv. Nucl. Phys. 16 (1986), 1.
  7. J. Boguta and A. R. Bodmer, Nucl. Phys. A 292 (1977), 413[CrossRef].
  8. P.-G. Reinhard, M. Rufa, J. Maruhn, W. Greiner and J. Friedrich, Z. Phys. A 323 (1986), 13.
    Suk-Joon Lee, J. Fink, A. B. Valantekin, M. R. Strayer, A. S. Umar, P. G. Reinhard, J. A. Maruhn and W. Greiner, Phys. Rev. Lett. 57 (1986), 2916[APS].
  9. G. A. Lalazissis, J. König and P. Ring, Phys. Rev. C 55 (1997), 540[APS]; nucl-th/9607039[e-print arXiv].
  10. Y. Sugahara and H. Toki, Nucl. Phys. A 579 (1994), 557[CrossRef].
  11. R. Brockmann and H. Toki, Phys. Rev. Lett. 68 (1992), 3408[APS].
  12. B. C. Clark, S. Hama, R. L. Mercer, L. Ray and B. D. Serot, Phys. Rev. Lett. 50 (1983), 1644[APS].
  13. H. Shen, H. Toki, K. Oyamatsu and K. Sumiyoshi, Prog. Theor. Phys. 100 (1998), 1013[IPAP]; nucl-th/9806095[e-print arXiv].
  14. K. Sumiyoshi, H. Suzuki, S. Yamada and H. Toki, Nucl. Phys. A 730 (2004), 227[CrossRef]; nucl-th/0310046[e-print arXiv].
  15. C. Ishizuka, A. Ohnishi and K. Sumiyoshi, Nucl. Phys. A 723 (2003), 517[CrossRef]; nucl-th/0208020[e-print arXiv].
  16. A. W. Thomas, P. A. M. Guichon, D. B. Leinweber and R. D. Young, Prog. Theor. Phys. Suppl. No. 156 (2004), 124[IPAP]; nucl-th/0411014[e-print arXiv].
  17. T. D. Lee and G. C. Wick, Phys. Rev. D 9 (1974), 2291[APS].
  18. J. Boguta, Phys. Lett. B 120 (1983), 34[CrossRef]; Phys. Lett. B 128 (1983), 19[CrossRef].
  19. T. D. Lee and M. Margulies, Phys. Rev. D 11 (1975), 1591[APS].
  20. T. Matsui and B. D. Serot, Ann. of Phys. 144 (1982), 107[CrossRef].
  21. T. Hatsuda and M. Prakash, Phys. Lett. B 224 (1989), 11[CrossRef].
  22. L. G. Liu, W. Bentz and A. Arima, Ann. of Phys. 194 (1989), 387[CrossRef].
  23. S. Tamenaga, H. Toki, A. Haga and Y. Ogawa, nucl-th/0604013[e-print arXiv].
  24. Y. Ogawa, H. Toki, S. Tamenaga, H. Shen, A. Hosaka, S. Sugimoto and K. Ikeda, Prog. Theor. Phys. 111 (2004), 75[IPAP]; nucl-th/0312042[e-print arXiv].
  25. P. Sahu and A. Ohnishi, Prog. Theor. Phys. 104 (2000), 1163[IPAP]; nucl-th/0007068[e-print arXiv].
  26. R. J. Furnstahl and B. D. Serot, Phys. Lett. B 316 (1993), 12[CrossRef].
  27. E. K. Heide, S. Rudaz and P. J. Ellis, Nucl. Phys. A 571 (1994), 713[CrossRef]; nucl-th/9308002[e-print arXiv].
  28. R. J. Furnstahl, H. B. Tang and B. D. Serot, Phys. Rev. C 52 (1995), 1368[APS]; hep-ph/9501386[e-print arXiv].
  29. R. J. Furnstahl, B. D. Serot and H. B. Tang, Nucl. Phys. A 615 (1997), 441 [CrossRef][ Errata; 640 (1998), 505[CrossRef]]; nucl-th/9608035[e-print arXiv].
  30. I. Mishustin, J. Bondorf and M. Rho, Nucl. Phys. A 555 (1993), 215[CrossRef].
  31. P. Papazoglou, J. Schaffner, S. Schramm, D. Zschiesche, H. Stöcker and W. Greiner, Phys. Rev. C 55 (1997), 1499[APS]; nucl-th/9609035[e-print arXiv].
    P. Papazoglou, S. Schramm, J. Schaffner-Bielich, H. Stöcker and W. Greiner, Phys. Rev. C 57 (1998), 2576[APS]; nucl-th/9706024[e-print arXiv].
  32. N. Kawamoto and J. Smit, Nucl. Phys. B 192 (1981), 100[CrossRef].
  33. N. Kawamoto, K. Miura, A. Ohnishi and T. Ohnuma, Phys. Rev. D 75 (2007), 014502[APS]; hep-lat/0512023[e-print arXiv].
  34. Y. Nishida, Phys. Rev. D 69 (2004), 094501[APS]; hep-ph/0312371[e-print arXiv].
  35. P. H. Damgaard, N. Kawamoto and K. Shigemoto, Phys. Rev. Lett. 53 (1984), 2211[APS].
    E. M. Ilgenfritz and J. Kripfganz, Z. Phys. C 29 (1985), 79.
    P. H. Damgaard, N. Kawamoto and K. Shigemoto, Nucl. Phys. B 264 (1986), 1[CrossRef].
    N. Bilic, K. Demeterfi and B. Petersson, Nucl. Phys. B 377 (1992), 651[CrossRef].
    Y. Nishida, K. Fukushima and T. Hatsuda, Phys. Rep. 398 (2004), 281[CrossRef]; hep-ph/0306066[e-print arXiv].
    X. Q. Luo, Phys. Rev. D 70 (2004), 091504[APS](R); hep-lat/0405019[e-print arXiv].
  36. G. Faldt and B. Petersson, Nucl. Phys. B 265 (1986), 197[CrossRef].
    N. Bilic, F. Karsch and K. Redlich, Phys. Rev. D 45 (1992), 3228[APS].
    N. Bilic and J. Cleymans, Phys. Lett. B 355 (1995), 266[CrossRef]; hep-lat/9501019[e-print arXiv].
    A. Ohnishi, N. Kawamoto and K. Miura, J. of Phys. G, to appear; hep-lat/0701024[e-print arXiv].
  37. N. Kawamoto, Nucl. Phys. B 190 (1981), 617[CrossRef].
    J. Hoek, N. Kawamoto and J. Smit, Nucl. Phys. B 199 (1982), 495[CrossRef].
    H. Kluberg-Stern, A. Morel and B. Petersson, Nucl. Phys. B 215 (1983), 527[CrossRef].
    P. H. Damgaard, D. Hochberg and N. Kawamoto, Phys. Lett. B 158 (1985), 239[CrossRef].
    E. Dagotto, F. Karsch and A. Moreo, Phys. Lett. B 169 (1986), 421[CrossRef].
    F. Karsch and K. H. Mutter, Nucl. Phys. B 313 (1989), 541[CrossRef].
    J. U. Klatke and K. H. Mutter, Nucl. Phys. B 342 (1990), 764[CrossRef].
    V. Azcoiti, G. Di Carlo, A. Galante and V. Laliena, J. High Energy Phys. 09 (2003), 014[IoP STACKS]; hep-lat/0307019[e-print arXiv].
    K. Fukushima, Prog. Theor. Phys. Suppl. No. 153 (2004), 204[IPAP]; hep-ph/0312057[e-print arXiv].
  38. K. Saito, K. Tsushima and A. W. Thomas, Phys. Rev. C 55 (1997), 2637[APS]; nucl-th/9612001[e-print arXiv].
  39. W. Bentz and A. W. Thomas, Nucl. Phys. A 696 (2001), 138[CrossRef]; nucl-th/0105022[e-print arXiv].
  40. K. Saito, K. Tsushima and A. W. Thomas, Phys. Lett. B 406 (1997), 287[CrossRef]; nucl-th/9704047[e-print arXiv].
  41. C. DeTar and T. Kunihiro, Phys. Rev. D 39 (1989), 2805[APS].
  42. M. Harada and K. Yamawaki, Phys. Rev. Lett. 86 (2001), 757[APS].
  43. A. Manohar and H. Georgi, Nucl. Phys. B 234 (1984), 189[CrossRef].
    H. Georgi and L. Randall, Nucl. Phys. B 276 (1986), 241[CrossRef].
    H. Georgi, Phys. Lett. B 298 (1993), 187[CrossRef]; hep-ph/9207278[e-print arXiv].
  44. A. Bhagwat, R. Wyss, W. Satula, J. Meng and Y. K. Gambhir, nucl-th/0605009[e-print arXiv].
  45. K. Ikeda, S. Sugimoto and H. Toki, Nucl. Phys. A 738 (2004), 73[CrossRef]; nucl-th/0402075[e-print arXiv].
  46. A. Isshiki, A. Ohnishi and K. Naito, Prog. Theor. Phys. 114 (2005), 573[IPAP]; nucl-th/0407085[e-print arXiv].
  47. A. Bouyssy, J. F. Mathiot, V. G. Nguyen and S. Marcos, Phys. Rev. C 36 (1987), 380[APS].
  48. D. Hirata, K. Sumiyoshi, I. Tanihata, Y. Sugahara, T. Tachibana and H. Toki, Nucl. Phys. A 616 (1997), 438[CrossRef].
  49. D. Vautherin and D. M. Brink, Phys. Rev. C 5 (1972), 626[APS].
  50. K. Tsubakihara, H. Maekawa and A. Ohnishi, Proc. of IX Int. Conf. on Hypernuclear and Strange Particle Physics, Mainz, Germany, Oct. 10-14, 2006, Euro. Phys. J. A, to appear; nucl-th/0702008[e-print arXiv].

Citing Article(s) :

  1. Progress of Theoretical Physics Supplement No.168 (2007) pp. 261-264 :
    Strong Coupling Limit/Region of Lattice QCD
    Akira Ohnishi, Noboru Kawamoto, Kohtaroh Miura, Kohsuke Tsubakihara and Hideki Maekawa

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2010 All rights reserved.