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Infinite Set of Models Satisfying Crossing Symmetry, Duality, and Regge Behavior

Author
Gardiner, C. W.
Published
United States : American Physical Society (APS), 1970.
[Oak Ridge, Tennessee] : [U.S. Atomic Energy Commission], 1970.
Physical Description
microfiche : negative ; 11 x 15 cm

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Summary
A set of model amplitudes, characterized by two functions ℎ⁡(x) and ω⁡(x), is given which satisfies the conditions of duality, crossing symmetry, and Regge behavior. These model amplitudes can be written as G⁡(α⁡(s), α⁡(t))=∫ 01 ⁢dxℎ⁡(x)⁢x-α⁡(t)⁢[ω⁡(x)]-α(s) and are generalizations of the beta function. The model has resonances of zero width, like Veneziano's model. We prove that, under certain conditions, the model amplitude has Regge behavior as s→∞ with arg⁡ (-s) < π and t fixed, and that it dies exponentially as s→∞ with 0 < rg⁡ (s)
Report Numbers
NYO-3399-196; SU-1206-196
Other Subject(s)
Collection
U.S. Atomic Energy Commission depository collection.
Note
NSA number: NSA-23-039837
OSTI Identifier 4786334
Research organization: Syracuse Univ., NY (United States).
Funding Information
Sponsored by US Atomic Energy Commission (AEC).
View MARC record | catkey: 46447438