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Regge poles in π-π scattering

Chew, Geoffrey F. and Frautschi, Steven C. and Mandelstam, Stanley (1962) Regge poles in π-π scattering. Physical Review, 126 (3). pp. 1202-1208. ISSN 0031-899X. doi:10.1103/PhysRev.126.1202.

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The connection between Regge poles, bound states and resonances, and asymptotic behavior in momentum transfer is reviewed within the framework of the analytically continued S matrix, and a convergent iteration procedure is given for calculating the position and residue of a Regge pole in terms of a given (generalized) potential. By examining the long-range potential in the ππ system, it is inferred that Regge poles should appear in the I=0 and I=1 states, and that the latter pole may be responsible for the ρ meson while the former may well dominate high-energy behavior at low-momentum transfer in the crossed channels. The connection of this possibility with forward coherent (diffraction) scattering in general is explored, and a number of experimental predictions are emphasized. Finally it is shown that the short-range forces due to exchange of 4, 6, ... pions are likely to be repulsive and must be included in some form if a consistent solution is to be achieved.

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Additional Information:© 1962 The American Physical Society. Received 21 December 1961. We wish to acknowledge the many important contributions of Dr. M. Froissart to the ideas discussed here. Work done under the auspices of the U.S. Atomic Energy Commission.
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Atomic Energy CommissionUNSPECIFIED
Issue or Number:3
Record Number:CaltechAUTHORS:CHEpr62a
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12456
Deposited By: Tony Diaz
Deposited On:11 Dec 2008 20:58
Last Modified:08 Nov 2021 22:28

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