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A Sum Rule Based on Unitarity

Arbab, Farzam and Slansky, Richard C. (1968) A Sum Rule Based on Unitarity. Physical Review, 171 (5). pp. 1785-1790. ISSN 0031-899X. doi:10.1103/PhysRev.171.1785.

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Unitarity, analyticity, Regge asymptotic behavior, and a resonance approximation are combined to derive a new sum rule. The sum rule is very convergent; the contribution of high-mass resonances is suppressed by a decreasing weight function. The spin-flip and non-spin-flip residues of the ρ meson in the ππ→NN̅ amplitude are evaluated at the mass of the ρ, and in conjunction with the first-moment finite-energy sum rule, a calculation of the ρ-meson mass is performed. The results are in good agreement with experiment. A calculation of the ρ and f0 resonance parameters in the ππ→ππ amplitude is also discussed.

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Additional Information:© 1968 The American Physical Society. Received 11 March 1968. This was supported in part by the U.S. Atomic Energy Commission. We wish to thank Professor Geoffrey Chew for his encouragement and for helpful comments. We are also grateful for conversations with Dr. Richard Brower, Dr. Shu-Yuan, Professor Peter Kaus, Professor Stanley Mandelstam, Dr. Jeffrey Mandula, Dr. Christoph Dr. Chung-I Tan, and Professor Fredrik Zachariasen.
Issue or Number:5
Record Number:CaltechAUTHORS:ARBpr68
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ID Code:11887
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Deposited On:08 Oct 2008 22:12
Last Modified:08 Nov 2021 22:22

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