QCD sum-rule consistency of lowest-lying qq̄ scalar resonances

Nuclear Physics A

Volumn 633, Issue 2, 1998, Pages 279-311

  Elias, V ^a   Fariborz, A H ^b   Shi, Fang ^c   Steele, T G ^c  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

^b SYRACUSE UNIVERSITY   (United States)

^c UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

QCD sum rules; Scalar resonances: f0(400 1200), f0(980), a0(980), a0(450)

Indexed keywords

EID: 0032513450     PISSN: 03759474     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9474(98)00119-5     Document Type: Article

References (70)

1. [1] R.M. Barnett et al. [Particle Data Group], Phys. Rev. D 54 (1996) 1
2. [2] J. Weinstein and N. Isgur, Phys. Rev. Lett. 48 (1982) 659 and Phys. Rev. D 27 (1983) 588.
3. [2] J. Weinstein and N. Isgur, Phys. Rev. Lett. 48 (1982) 659 and Phys. Rev. D 27 (1983) 588.
4. [3] N.N. Achasov and G.N. Shestakov, Z. Phys. C 41 (1988) 309.
5. [4] D. Morgan and M.R. Pennington, Phys. Rev. D 48 (1993) 1185.
6. [5] G. Jannsen, B.C. Pearce, K. Holinde and J. Speth, Phys. Rev. D 52 (1995) 2690.
7. [6] OPAL Physics Note PN302 (to appear in Proc. Int. Europhys. Conf. on High Energy Physics, Jerusalem, August 19-26, 1997); G. Lafferty, Hadron Physics at LEP, Plenary Talk at Hadron'97, 7th Int. Conf. on Hadron Spectroscopy, Brookhaven National Laboratory, August 24-30, 1997 (to appear in Proc.).
8. [6] OPAL Physics Note PN302 (to appear in Proc. Int. Europhys. Conf. on High Energy Physics, Jerusalem, August 19-26, 1997); G. Lafferty, Hadron Physics at LEP, Plenary Talk at Hadron'97, 7th Int. Conf. on Hadron Spectroscopy, Brookhaven National Laboratory, August 24-30, 1997 (to appear in Proc.).
9. [7] S. Choe, hep-ph/9705419 (unpublished).
10. [8] M.P. Locher, V.E. Markushin and H.Q. Zheng, hep-ph/9705230 (unpublished).
11. [9] L.J. Reinders, S. Yazaki and H.R. Rubinstein, Nucl. Phys. B 196 (1982) 125.
12. [10] E.V. Shuryak, Nucl. Phys. B 319 (1989] 541.
13. [11] D.G. Caldi, Phys. Rev. Lett. 39 (1977) 121; C.G. Callan, R. Dashen and D. Gross, Phys. Rev. D 16 (1977) 2526; 17 (1978) 2717.
14. [11] D.G. Caldi, Phys. Rev. Lett. 39 (1977) 121; C.G. Callan, R. Dashen and D. Gross, Phys. Rev. D 16 (1977) 2526; 17 (1978) 2717.
15. [11] D.G. Caldi, Phys. Rev. Lett. 39 (1977) 121; C.G. Callan, R. Dashen and D. Gross, Phys. Rev. D 16 (1977) 2526; 17 (1978) 2717.
16. [12] R.D. Carlitz, Phys. Rev. D 17 (1978) 3225.
17. [13] R.D. Carlitz and D.B. Creamer, Ann. Phys. 118 (1979) 429.
18. [14] M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Nucl. Phys. B 147 (1979) 385, 448.
19. [15] V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Nucl. Phys. B 191 (1981) 301; E. Gabrielli and P. Nason, Phys. Lett. B 313 (1993) 430.
20. [15] V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Nucl. Phys. B 191 (1981) 301; E. Gabrielli and P. Nason, Phys. Lett. B 313 (1993) 430.
21. [16] E.V. Shuryak, Nucl. Phys. B 214 (1983) 237; A.E. Dorokhov, S.V. Esaibegian, N.I. Kochelev, N.G. Stefanis, J. Phys. G 23 (1997) 643.
22. [16] E.V. Shuryak, Nucl. Phys. B 214 (1983) 237; A.E. Dorokhov, S.V. Esaibegian, N.I. Kochelev, N.G. Stefanis, J. Phys. G 23 (1997) 643.
23. [17] W. Hubschmid and S. Mallik, Nucl. Phys. B 193 (1981) 368; C.A. Dominguez and E. de Rafael, Ann. Phys. 174 (1987) 372; A.P. Bakulev and S.V. Mikhailov, Z. Phys. C 68 (1995) 451.
24. [17] W. Hubschmid and S. Mallik, Nucl. Phys. B 193 (1981) 368; C.A. Dominguez and E. de Rafael, Ann. Phys. 174 (1987) 372; A.P. Bakulev and S.V. Mikhailov, Z. Phys. C 68 (1995) 451.
25. [17] W. Hubschmid and S. Mallik, Nucl. Phys. B 193 (1981) 368; C.A. Dominguez and E. de Rafael, Ann. Phys. 174 (1987) 372; A.P. Bakulev and S.V. Mikhailov, Z. Phys. C 68 (1995) 451.
26. [18] T.G. Steele, J.C. Breckenridge, M. Benmerrouche, V. Elias and A.H. Fariborz, Nucl. Phys. A 624 (1997) 517.
27. [19] V. Elias, A.H. Fariborz, M.A. Samuel, T.G. Steele and F. Shi, Phys. Lett. B 412 (1997) 131.
28. [20] M. Svec, Phys. Rev. D 53 (1996) 2343.
29. [21] S. Ishida, M. Ishida, H. Takahashi, T. Ishida, K. Takamatsu, T. Tsuru, Prog. Theor. Phys 95 (1996) 745.
30. [22] F. Sannino and J. Schechter, Phys. Rev. D 52 (1995) 96; M. Harada, F. Sannino and J. Schechter. Phys. Rev. D 54 (1996) 1991.
31. [22] F. Sannino and J. Schechter, Phys. Rev. D 52 (1995) 96; M. Harada, F. Sannino and J. Schechter. Phys. Rev. D 54 (1996) 1991.
32. [23] N.A. Törnqvist and M. Roos, Phys. Rev. Lett. 76 (1996) 1575.
33. [24] M. Doser, Recent Results from the Crystal Barrel Collaboration, Plenary Talk at Hadron'97, 7th Int. Conf. on Hadron Spectroscopy, Brookhaven National Laboratory, August 24-30, 1997 (to appear in Proc.).
34. [25] J.K. Bienlein, in Photon-Photon Collisions, ed. D.O. Caldwell and H.P. Paar (World Scientific, Singapore, 1992) pp. 241-257;
35. T. Barnes, Phenomenology of Light Quarks, Plenary Talk at Hadron'97, 7th Int. Conf. on Hadron Spectroscopy, Brookhaven National Laboratory, August 24-30, 1997 (to appear in Proc.).
36. [26] Y. Nambu and G. Jona-Lasinio, Phys. Rev, 122 (1961) 345; V. Elias and M.D. Scadron, Phys. Rev. Lett. 53 (1984) 1129; S. Klimt, M. Lutz, U. Vogl and W. Weise, Nucl. Phys. A 516 (1990) 429; T. Hatsuda and T. Kunihiro, Phys. Rep. 247 (1994) 221.
37. [26] Y. Nambu and G. Jona-Lasinio, Phys. Rev, 122 (1961) 345; V. Elias and M.D. Scadron, Phys. Rev. Lett. 53 (1984) 1129; S. Klimt, M. Lutz, U. Vogl and W. Weise, Nucl. Phys. A 516 (1990) 429; T. Hatsuda and T. Kunihiro, Phys. Rep. 247 (1994) 221.
38. [26] Y. Nambu and G. Jona-Lasinio, Phys. Rev, 122 (1961) 345; V. Elias and M.D. Scadron, Phys. Rev. Lett. 53 (1984) 1129; S. Klimt, M. Lutz, U. Vogl and W. Weise, Nucl. Phys. A 516 (1990) 429; T. Hatsuda and T. Kunihiro, Phys. Rep. 247 (1994) 221.
39. [26] Y. Nambu and G. Jona-Lasinio, Phys. Rev, 122 (1961) 345; V. Elias and M.D. Scadron, Phys. Rev. Lett. 53 (1984) 1129; S. Klimt, M. Lutz, U. Vogl and W. Weise, Nucl. Phys. A 516 (1990) 429; T. Hatsuda and T. Kunihiro, Phys. Rep. 247 (1994) 221.
40. [27] R. Delbourgo and M.D. Scadron, Phys. Rev. Lett. 48 (1982) 379; Mod. Phys. Lett. A 10 (1995) 251; P. Ko and S. Rudaz, Phys. Rev. D 50 (1994) 6877; L.R. Baboukhadia, V. Elias and M.D. Scadron, J. Phys. G 23 (1997) 1065; M.Y. Ishida, Existence of σ(600)/κ(900) Particle and new Chiral Scalar Nonet, Parallel Talk at Hadron'97, 7th Int. Conf. on Hadron Spectroscopy, Brookhaven National Laboratory, August 24-30, 1997 (to appear in Proc.).
41. [27] R. Delbourgo and M.D. Scadron, Phys. Rev. Lett. 48 (1982) 379; Mod. Phys. Lett. A 10 (1995) 251; P. Ko and S. Rudaz, Phys. Rev. D 50 (1994) 6877; L.R. Baboukhadia, V. Elias and M.D. Scadron, J. Phys. G 23 (1997) 1065; M.Y. Ishida, Existence of σ(600)/κ(900) Particle and new Chiral Scalar Nonet, Parallel Talk at Hadron'97, 7th Int. Conf. on Hadron Spectroscopy, Brookhaven National Laboratory, August 24-30, 1997 (to appear in Proc.).
42. [27] R. Delbourgo and M.D. Scadron, Phys. Rev. Lett. 48 (1982) 379; Mod. Phys. Lett. A 10 (1995) 251; P. Ko and S. Rudaz, Phys. Rev. D 50 (1994) 6877; L.R. Baboukhadia, V. Elias and M.D. Scadron, J. Phys. G 23 (1997) 1065; M.Y. Ishida, Existence of σ(600)/κ(900) Particle and new Chiral Scalar Nonet, Parallel Talk at Hadron'97, 7th Int. Conf. on Hadron Spectroscopy, Brookhaven National Laboratory, August 24-30, 1997 (to appear in Proc.).
43. [27] R. Delbourgo and M.D. Scadron, Phys. Rev. Lett. 48 (1982) 379; Mod. Phys. Lett. A 10 (1995) 251; P. Ko and S. Rudaz, Phys. Rev. D 50 (1994) 6877; L.R. Baboukhadia, V. Elias and M.D. Scadron, J. Phys. G 23 (1997) 1065; M.Y. Ishida, Existence of σ(600)/κ(900) Particle and new Chiral Scalar Nonet, Parallel Talk at Hadron'97, 7th Int. Conf. on Hadron Spectroscopy, Brookhaven National Laboratory, August 24-30, 1997 (to appear in Proc.).
44. [27] R. Delbourgo and M.D. Scadron, Phys. Rev. Lett. 48 (1982) 379; Mod. Phys. Lett. A 10 (1995) 251; P. Ko and S. Rudaz, Phys. Rev. D 50 (1994) 6877; L.R. Baboukhadia, V. Elias and M.D. Scadron, J. Phys. G 23 (1997) 1065; M.Y. Ishida, Existence of σ(600)/κ(900) Particle and new Chiral Scalar Nonet, Parallel Talk at Hadron'97, 7th Int. Conf. on Hadron Spectroscopy, Brookhaven National Laboratory, August 24-30, 1997 (to appear in Proc.).
45. [28] S. Ogawa et al, Suppl. Prog. Theor. Phys 39 (1967) 140; M. Sander and H.V. von Geramb, Phys. Rev. C 56 (1997) 1218.
46. [28] S. Ogawa et al, Suppl. Prog. Theor. Phys 39 (1967) 140; M. Sander and H.V. von Geramb, Phys. Rev. C 56 (1997) 1218.
47. [29] N. Isgur and J. Speth, Phys. Rev. Lett. 77 (1996) 2332.
48. [30] J.E. Augustin et al. [DM2 Collaboration], Nucl. Phys. B 320 (1989) 1.
49. -η on on a Polarized Target, Parallel talk at Hadron'97, 7th Int. Conf. on Hadron Spectroscopy, Brookhaven National Laboratory, August 24-30, 1997 (to appear in Proc.).
50. [32] M. Harada, F. Sannino and J. Schechter, Phys. Rev. Lett. 78 (1997) 1603.
51. [33] S. Weinberg, Phys. Rev. Lett. 65 (1990) 1177.
52. [34] F.J. Gilman and H. Harari, Phys. Rev. 165 (1968) 1803.
53. [35] V.A. Miransky and M.D. Scadron, Sov. J. Nucl. Phys. 49 (1989) 922.
54. [36] R.J. Crewther, Phys. Rev. Lett. 28 (1972) 1421; M.S. Chanowitz and J. Ellis, Phys. Rev. D7 (1972) 2490; V.A. Miransky and M.D. Scadron, Europhys. Lett. 11 (1990) 307.
55. [36] R.J. Crewther, Phys. Rev. Lett. 28 (1972) 1421; M.S. Chanowitz and J. Ellis, Phys. Rev. D7 (1972) 2490; V.A. Miransky and M.D. Scadron, Europhys. Lett. 11 (1990) 307.
56. [36] R.J. Crewther, Phys. Rev. Lett. 28 (1972) 1421; M.S. Chanowitz and J. Ellis, Phys. Rev. D7 (1972) 2490; V.A. Miransky and M.D. Scadron, Europhys. Lett. 11 (1990) 307.
57. [37] A.R. Zhitnitsky and I.R. Zhitnitsky, Sov. J. Nucl. Phys. 37 (1983) 918.
58. [38] S. Narison, hep-ph/9612448.
59. [39] J.J. Sakurai, Phys. Lett. B 46 (1973) 207.
60. [40] P. Pascual and R. Tarrach, QCD, Renormalization for the Practitioner, in Lecture Notes in Physics 194, ed. H. Araki, J. Ehlers, K. Hepp, R. Kippenhahn, H.A. Weidenmüller and J. Zittartz (Springer, Berlin, 1984) pp. 186-191.
61. [41] A.S. Deakin, V. Elias, A.H. Fariborz, Y Xue, F. Shi and T.G. Steele, hep-ph/9710240 (to appear in European Phys. J. C).
62. [42] S.G. Gorishny, A.L. Kataev, S.A. Larin and L.R. Surguladze, Phys. Rev. D 43 (1991) 1633: Mod. Phys. Lett. A 5 (1990) 2703.
63. [42] S.G. Gorishny, A.L. Kataev, S.A. Larin and L.R. Surguladze, Phys. Rev. D 43 (1991) 1633: Mod. Phys. Lett. A 5 (1990) 2703.
64. [43] K.G. Chetyrkin, Phys. Lett. B 390 (1997) 309.
65. [44] E. Bagán, J.I. La Torre and P. Pascual, Z. Phys. C 32 (1986) 43.
66. [45] M. Gell-Mann, R.J. Oakes, B. Renner, Phys. Rev. 175 (1968) 2195.
67. [46] A.H. Fariborz, Ph.D. Thesis, The University of Western Ontario, 1997 (unpublished).
68. [47] S. Narison and E. de Rafael, Phys. Lett. B 103 (1981) 57.
69. [48] D.B. Leinweber, Ann. Phys. 254 (1997) 328.
70. [49] G. Clement, M.D. Scadron and J. Stern. Z. Phys. C 60 (1993) 307