MO analysis of the high statistics Belle results on γ γ→π + π -, π 0 π0 with chiral constraints

European Physical Journal C

Volumn 70, Issue 1, 2010, Pages 155-175

  Garcia Martin R ^a   Moussallam, B ^b  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78449291128     PISSN: 14346044     EISSN: 14346052     Source Type: Journal    
DOI: 10.1140/epjc/s10052-010-1471-7     Document Type: Article

References (85)

1. J. Bijnens, G. Colangelo, G. Ecker, Ann. Phys. 280, 100 (2000). arXiv: hep-ph/9907333.
2. J. Bijnens, G. Colangelo, G. Ecker, J. High Energy Phys. 9902, 020 (1999). arXiv: hep-ph/9902437.
3. G. Colangelo, Nucl. Phys. A 827, 228C (2009).
4. J. Ahrens et al., Eur. Phys. J. A 23, 113 (2005). arXiv: nucl-ex/0407011.
5. A. Guskov (COMPASS Collaboration), Fizika B 17, 313 (2008).
6. T. Mori et al. (Belle Collaboration), J. Phys. Soc. Jpn. 76, 074102 (2007). arXiv: 0704. 3538 [hep-ex].
7. T. Mori et al. (Belle Collaboration), Phys. Rev. D 75, 051101 (2007). arXiv: hep-ex/0610038.
8. S. Uehara et al. (Belle Collaboration), Phys. Rev. D 78, 052004 (2008). arXiv: 0805. 3387 [hep-ex].
9. S. Uehara et al. (BELLE Collaboration), Phys. Rev. D 79, 052009 (2009). arXiv: 0903. 3697 [hep-ex].
10. J. R. Batley et al. (NA48/2 Collaboration), Eur. Phys. J. C 54, 411 (2008).
11. J. R. Batley et al. (NA48/2 Collaboration), Phys. Lett. B 633, 173 (2006). arXiv: hep-ex/0511056.
12. J. R. Batley et al. Eur. Phys. J. C 64, 589 (2009).
13. B. Adeva et al. (DIRAC Collaboration), Phys. Lett. B 619, 50 (2005). arXiv: hep-ex/0504044.
14. S. Pislak et al. (BNL-E865 Collaboration), Phys. Rev. Lett. 87, 221801 (2001). arXiv: hep-ex/0106071.
15. R. Oehme, Int. J. Mod. Phys. A 10, 1995 (1995). arXiv: hep-th/9412040.
16. R. Omnès, Nuovo Cimento 8, 316 (1958).
17. N. I. Muskhelishvili, Singular Integral Equations (Noordhof, Groningen, 1953).
18. M. Gourdin, A. Martin, Nuovo Cimento 17, 224 (1960).
19. R. L. Goble, J. L. Rosner, Phys. Rev. D 5, 2345 (1972).
20. R. L. Goble, R. Rosenfeld, J. L. Rosner, Phys. Rev. D 39, 3264 (1989).
21. D. Morgan, M. R. Pennington, Phys. Lett. B 192, 207 (1987).
22. D. Morgan, M. R. Pennington, Phys. Lett. B 272, 134 (1991).
23. J. F. Donoghue, B. R. Holstein, Phys. Rev. D 48, 137 (1993). arXiv: hep-ph/9302203.
24. J. F. Donoghue, B. R. Holstein, Y. C. Lin, Phys. Rev. D 37, 2423 (1988).
25. J. Bijnens, F. Cornet, Nucl. Phys. B 296, 557 (1988).
26. K. Sundermeyer, A coupled channel analysis of the reactions gamma + Gamma → Pi + Pi And Gamma + Gamma → K + Anti-K. Preprint DESY 74/17.
27. O. Babelon, J. L. Basdevant, D. Caillerie, M. Gourdin, G. Mennessier, Nucl. Phys. B 114, 252 (1976).
28. Y. Mao, X. G. Wang, O. Zhang, H. Q. Zheng, Z. Y. Zhou, Phys. Rev. D 79, 116008 (2009). arXiv: 0904. 1445 [hep-ph].
29. G. Mennessier, Z. Phys. C 16, 241 (1983).
30. M. Boglione, M. R. Pennington, Eur. Phys. J. C 9, 11 (1999). arXiv: hep-ph/9812258.
31. J. A. Oller, L. Roca, C. Schat, Phys. Lett. B 659, 201 (2008). arXiv: 0708. 1659 [hep-ph].
32. N. N. Achasov, G. N. Shestakov, Phys. Rev. D 77, 074020 (2008). arXiv: 0712. 0885 [hep-ph].
33. G. Mennessier, S. Narison, W. Ochs, Phys. Lett. B 665, 205 (2008). arXiv: 0804. 4452 [hep-ph].
34. A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, 1960).
35. M. Jacob, G. C. Wick, Ann. Phys. 7, 404 (1959) [Ann. Phys. 281, 774 (2000)].
36. J. F. Donoghue, J. Gasser, H. Leutwyler, Nucl. Phys. B 343, 341 (1990).
37. B. Moussallam, Eur. Phys. J. C 14, 111 (2000). arXiv: hep-ph/9909292.
38. F. E. Low, Phys. Rev. 96, 1428 (1954).
39. M. Gell-Mann, M. L. Goldberger, Phys. Rev. 96, 1433 (1954).
40. H. D. I. Abarbanel, M. L. Goldberger, Phys. Rev. 165, 1594 (1968).
41. B. Hyams et al., Nucl. Phys. B 64, 134 (1973). AIP Conf. Proc. 13, 206 (1973).
42. C. Amsler et al. (Particle Data Group), Phys. Lett. B 667, 1 (2008).
43. P. Ko, Phys. Rev. D 41, 1531 (1990).
44. G. Ecker, J. Gasser, A. Pich, E. de Rafael, Nucl. Phys. B 321, 311 (1989).
45. S. Godfrey, N. Isgur, Phys. Rev. D 32, 189 (1985).
46. B. Collick et al., Phys. Rev. Lett. 53, 2374 (1984).
47. M. Zielinski et al., Phys. Rev. D 30, 1855 (1984).
48. G. T. Condo, T. Handler, W. M. Bugg, G. R. Blackett, M. Pisharody, K. A. Danyo, Phys. Rev. D 48, 3045 (1993).
49. M. Nozar et al. (CLAS Collaboration), Phys. Rev. Lett. 102, 102002 (2009). arXiv: 0805. 4438 [hep-ex].
50. H. J. Lipkin, Phys. Lett. B 72, 249 (1977).
51. S. Bellucci, J. Gasser, M. E. Sainio, Nucl. Phys. B 423, 80 (1994) [Erratum: Nucl. Phys. B 431, 413 (1994)]. arXiv: hep-ph/9401206.
52. U. Bürgi, Nucl. Phys. B 479, 392 (1996). arXiv: hep-ph/9602429.
53. J. Gasser, M. A. Ivanov, M. E. Sainio, Nucl. Phys. B 728, 31 (2005). arXiv: hep-ph/0506265.
54. J. Gasser, M. A. Ivanov, M. E. Sainio, Nucl. Phys. B 745, 84 (2006). arXiv: hep-ph/0602234.
55. K. Maltman, C. E. Wolfe, Phys. Rev. D 59, 096003 (1999). arXiv: hep-ph/9810441.
56. S. Dürr, J. Kambor, Phys. Rev. D 61, 114025 (2000). arXiv: hep-ph/9907539.
57. M. Knecht, B. Moussallam, J. Stern, Nucl. Phys. B 429, 125 (1994). arXiv: hep-ph/9402318.
58. J. Gasser, C. Haefeli, M. A. Ivanov, M. Schmid, Phys. Lett. B 675, 49 (2009). arXiv: 0903. 0801 [hep-ph].
59. G. Amorós, J. Bijnens, P. Talavera, Nucl. Phys. B 568, 319 (2000). arXiv: hep-ph/9907264.
60. H. Terazawa, Phys. Rev. Lett. 26, 1207 (1971).
61. B. R. Martin, D. Morgan, G. Shaw, Pion-Pion Interactions in Particle Physics (Academic Press, London, 1976).
62. S. M. Roy, Phys. Lett. B 36, 353 (1971).
63. B. Ananthanarayan, G. Colangelo, J. Gasser, H. Leutwyler, Phys. Rep. 353, 207 (2001). arXiv: hep-ph/0005297.
64. D. V. Bugg, B. S. Zou, A. V. Sarantsev, Nucl. Phys. B 471, 59 (1996).
65. R. Kamiński, L. Leśniak, K. Rybicki, Z. Phys. C 74, 79 (1997). arXiv: hep-ph/9606362.
66. R. Kamiński, J. R. Peláez, F. J. Ynduráin, Phys. Rev. D 77, 054015 (2008). arXiv: 0710. 1150 [hep-ph].
67. R. García-Martín, R. Kamiński, J. R. Peláez, F. J. Ynduráin, arXiv: 0906. 5467 [hep-ph].
68. D. H. Cohen, D. S. Ayres, R. Diebold, S. L. Kramer, A. J. Pawlicki, A. B. Wicklund, Phys. Rev. D 22, 2595 (1980).
69. A. Etkin et al., Phys. Rev. D 25, 1786 (1982).
70. K. L. Au, D. Morgan, M. R. Pennington, Phys. Rev. D 35, 1633 (1987).
71. P. Büttiker, S. Descotes-Genon, B. Moussallam, Eur. Phys. J. C 33, 409 (2004). arXiv: hep-ph/0310283.
72. M. J. Losty et al., Nucl. Phys. B 69, 185 (1974).
73. W. Hoogland et al., Nucl. Phys. B 126, 109 (1977).
74. H. Marsiske et al. (Crystal Ball Collaboration), Phys. Rev. D 41, 3324 (1990).
75. J. Boyer et al., Phys. Rev. D 42, 1350 (1990).
76. H. J. Behrend et al. (CELLO Collaboration), Z. Phys. C 56, 381 (1992).
77. G. Ecker, Acta Phys. Pol. B 38, 2753 (2007). arXiv: hep-ph/0702263.
78. M. R. Pennington, T. Mori, S. Uehara, Y. Watanabe, Eur. Phys. J. C 56, 1 (2008). arXiv: 0803. 3389 [hep-ph].
79. N. N. Achasov, G. N. Shestakov, Phys. Rev. D 70, 074015 (2004). arXiv: hep-ph/0405129.
80. C. Hanhart, B. Kubis, J. R. Peláez, Phys. Rev. D 76, 074028 (2007). arXiv: 0707. 0262 [hep-ph].
81. J. Bijnens, J. Prades, Nucl. Phys. B 490, 239 (1997). arXiv: hep-ph/9610360.
82. L. V. Fil'kov, V. L. Kashevarov, Phys. Rev. C 73, 035210 (2006). arXiv: nucl-th/0512047.
83. V. Bernard, D. Vautherin, Phys. Rev. D 40, 1615 (1989).
84. B. Hiller, W. Broniowski, A. A. Osipov, A. H. Blin, Phys. Lett. B 681, 147 (2009). arXiv: 0908. 0159 [hep-ph].
85. L. V. Fil'kov, V. L. Kashevarov, Phys. Rev. C 72, 035211 (2005). arXiv: nucl-th/0505058.