Low energy scattering with a nontrivial pion

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 76, Issue 11, 2007, Pages

  Fariborz, Amir H ^a   Jora, Renata ^b   Schechter, Joseph ^b  

^a SUNY POLYTECHNIC INSTITUTE   (United States)

^b SYRACUSE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 36849076138     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.76.114001     Document Type: Article

References (27)

1. A.H. Fariborz, R. Jora, and J. Schechter, arXiv:0707.0843. This "companion" paper contains the appropriate background references.
2. S. Weinberg, Phys. Rev. Lett. 17, 616 (1966). PRLTAO 0031-9007 10.1103/PhysRevLett.17.616
3. W-M. Yao, J. Phys. G JPGPED 0954-3899 33, 1 (2006). 10.1088/0954-3899/33/ 1/001
4. See Table V of D. Black, A.H. Fariborz, S. Moussa, S. Nasri, and J. Schechter, Phys. Rev. D 64, 014031 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.64. 014031
5. N.N. Achasov and G.N. Shestakov, Phys. Rev. D 49, 5779 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.49.5779
6. S.L. Adler, Phys. Rev. PHRVAO 0031-899X 137, B1022 (1965); 10.1103/PhysRev.137.B1022
7. S.L. Adler Phys. Rev. PHRVAO 0031-899X 139, B1638 (1965). 10.1103/PhysRev.139.B1638
8. J.R. Betley (NA48/2 Collaboration), Phys. Lett. B 633, 173 (2006). PYLBAJ 0370-2693 10.1016/j.physletb.2005.11.087
9. S. Pislak (E865 Collaboration), Phys. Rev. D 67, 072004 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.072004
10. B. Adeva (DIRAC Collaboration), Phys. Lett. B 619, 50 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2005.05.045
11. B. Ananthanarayan, Curr. Sci. 92, 886 (2007). CUSCAM 0011-3891
12. J. Schechter and Y. Ueda, Phys. Rev. D 3, 2874 (1971); PRVDAQ 0556-2821 10.1103/PhysRevD.3.2874
13. J. Schechter Y. Ueda Phys. Rev. D 8, 987(E) (1973). See Secs. V and VIB. PRVDAQ 0556-2821 10.1103/PhysRevD.8.987
14. M.D. Scadron, F. Kleefeld, and G. Rupp, arXiv: hep-ph/0601196.
15. The Roy equation for the pion amplitude, S.M. Roy, Phys. Lett. 36B, 353 (1971), has been used by several authors to obtain information about the f0(600) resonance. PYLBAJ 0370-2693 10.1016/0370-2693(71)90724-6
16. See T. Sawada, p. 67 of S. Ishida, KEK Proceedings of Possible Existence of the Sigma Meson and Its Implication to Hadron Physics, 2000-4 [Soryyushiron Kenkyu 102, No. 5 (2001)];
17. I. Caprini, G. Colangelo, and H. Leutwyler, Phys. Rev. Lett. 96, 132001 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.132001
18. A similar approach has been employed to study the putative light kappa by S. Descotes-Genon and B. Moussallam, Eur. Phys. J. C 48, 553 (2006). EPCFFB 1434-6044 10.1140/epjc/s10052-006-0036-2
19. Further discussion of the approach in Ref. above is given in D.V. Bugg, J. Phys. G JPGPED 0954-3899 34, 151 (2007). 10.1088/0954-3899/34/1/011
20. A detailed discussion of the chiral perturbation theory approach to pion-pion scattering is given in G. Colangelo, J. Gasser, and H. Leutwyler, Nucl. Phys. NUPBBO 0550-3213 B603, 125 (2001). 10.1016/S0550-3213(01)00147-X
21. S.L. Adler and F.J. Yndurain, Phys. Rev. D 75, 116002 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.116002
22. Y.T. Chiu and J. Schechter, Nuovo Cimento 46, 548 (1966). NUCIAD 0029-6341
23. The Regge form for the high energy behavior used was also suggested by H.J. Schnitzer (private communication).
24. A.H. Fariborz, R. Jora, and J. Schechter, Phys. Rev. D 72, 034001 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.034001
25. G.'t Hooft, Nucl. Phys. NUPBBO 0550-3213 B72, 461 (1974). 10.1016/0550-3213(74)90154-0
26. F. Sannino and J. Schechter, Phys. Rev. D 76, 014014 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.76.014014
27. E. Corrigan and P. Ramond, Phys. Lett. 87B, 73 (1979). PYLBAJ 0370-2693 10.1016/0370-2693(79)90022-4