Saturation of Superconvergence Relations and Current-Algebra Sum Rules for Forward Amplitudes | Zendy

Frederick J. Gilman | Zendy; Haim Harari | Zendy

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Saturation of Superconvergence Relations and Current-Algebra Sum Rules for Forward Amplitudes

Author(s) -

Frederick J. Gilman,

Haim Harari

Publication year - 1967

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.18.1150

Subject(s) - physics , superconvergence , omega , sum rule in quantum mechanics , current algebra , saturation (graph theory) , scattering amplitude , amplitude , energy (signal processing) , mathematical physics , scattering , coupling constant , coupling (piping) , particle physics , quantum mechanics , combinatorics , algebra over a field , mathematics , pure mathematics , quantum chromodynamics , finite element method , engineering , thermodynamics , mechanical engineering

We use the algebra of charges and their time derivatives, PCAC, and Regge high energy behavior to derive sum rules for strong interaction forward amplitudes. The saturation of all sum rules by a finite number of states is self-consistent and leads to relations among coupling constants and masses. Saturating all sum rules for or-p scattering by ~,LD and A 1' we predict: m Al = 1100 MeV, ma= m , PA = 120 MeV, p 1 g = 21 BeV-' wfi in good agreement with experiment. (Submitted to Phys. Rev. Letters) * Work supported in part by the U. S. Atomic Energy Commission. Prepared under Contract AT(ll-l)-68 f or the San Francisco Operations Office, U. S. Atomic Energy Commission. ** On leave of absence from the Weizmann Institute, Rehovoth, Israel.

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