rho$pi$$pi$ Regge residue function from a new class of sum rules, and a new representation for $pi$$pi$ amplitudes
A ncw class of sum rules is developed within the context of the pi pi system. One of these sum rules is used to extract the p pi pi Regge residue function from the recent pi pi data of Carroll et al., for a wide range of momentum transfer. The residue has a zero near t = -0.5 GeV/sup 2/, in agreement with duality and with a new prediction which we make from the dual absorption model together with pi p and pp data. The pi pi charge-exchange amplitude is shown to be dominated by p exchange above 1.O GeV. We also derive a new representation which expresses pi pi amplitudes in terms of a single subtraction parameter and integrals over physical-region absorptive parts. The representation is valid over a substantial portion of thc physical region, and constitutes a powerful tool for studying the pi pi interaction. Finally, we show that a unitarized Veneziano model proposed earlier by the present author is an excellent approximation to Nature below about 800 MeV, despite its neglect of Pomeranchon exchange and KK production. (auth)
- Research Organization:
- Department of Physics and Astronomy, Hunter College of the City University of New York, New York, New York 10021
- NSA Number:
- NSA-29-006246
- OSTI ID:
- 4398159
- Journal Information:
- Phys. Rev., D, v. 8, no. 5, pp. 1586-1597, Journal Name: Phys. Rev., D, v. 8, no. 5, pp. 1586-1597; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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