ππ scattering amplitudes within the sub-threshold triangle

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 390, Issue 1-4, 1997, Pages 18-22

  Kaufmann, William B ^a   Hite, Gerald E ^a,b  

^a ARIZONA STATE UNIVERSITY   (United States)

^b TEXAS A AND M UNIVERSITY AT GALVESTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043138941     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-2693(96)01390-1     Document Type: Article

References (11)

1. G. Chew and S. Mandelstam, Phys. Rev. 119 (1960) 467.
2. B.R. Martin, D. Morgan and G. Shaw, Pion Pion Interactions in Particle Physics, (Academic Press, London, 1976). We have used the definitions of the amplitudes and their crossing properties given in Chapter 1 of this book. See also J.L. Peterson, The ππ Interaction, CERN Report 77-04 (1977) and The Proceedings of the International Conference on ππ Scattering and Associated Topics, AIP Conference Proceedings 13 (Tallahassee, Florida, 1973).
3. B.R. Martin, D. Morgan and G. Shaw, Pion Pion Interactions in Particle Physics, (Academic Press, London, 1976). We have used the definitions of the amplitudes and their crossing properties given in Chapter 1 of this book. See also J.L. Peterson, The ππ Interaction, CERN Report 77-04 (1977) and The Proceedings of the International Conference on ππ Scattering and Associated Topics, AIP Conference Proceedings 13 (Tallahassee, Florida, 1973).
4. B.R. Martin, D. Morgan and G. Shaw, Pion Pion Interactions in Particle Physics, (Academic Press, London, 1976). We have used the definitions of the amplitudes and their crossing properties given in Chapter 1 of this book. See also J.L. Peterson, The ππ Interaction, CERN Report 77-04 (1977) and The Proceedings of the International Conference on ππ Scattering and Associated Topics, AIP Conference Proceedings 13 (Tallahassee, Florida, 1973).
5. S. Weinberg, Phys. Rev. Lett. 17 (1966) 616.
6. G.E. Hite, R.J. Jacob and F. Steiner, Phys. Rev. D 6 (1973) 3333.
7. B. Hyams et al., Nucl. Phys. B 64 (1973) 134. Their model amplitude for the I = ℓ = 1 partial wave has an unphysical zero at an energy slightly below the region in which the data was fitted. As described in the the text, we have used our parametrization in this lower-energy region.
8. W. Hoogland et al., Nucl. Phys. B 69 (1974) 185.
9. P. Estabrooks and A.D. Martin, Nucl. Phys. B 79 (1974) 301.
10. L. Rosselet et al., Phys. Rev. D 15 (1977) 574.
11. -1 given in Fig. 2 are consistent with the calculations of M.R. Pennington and S.D. Protopopescu, Phys. Rev. 7 (1973) 1429. See Fig. 6 of their paper.