ANALYTICITY IN ANGULAR MOMENTUM OF THE RELATIVISTIC MANY-CHANNEL S MATRIX FROM DISPERSION RELATIONS AND UNITARITY
Journal Article
·
· Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D
The analyticity of the scattering amplitude in angular momentum for N- coupled relativistic two-body channels is investigated on the basis of Mandelstam representation and unltarity. The problem of the proof of the analytic properties of the amplitude is reduced to the boundedness of a particular kernel involving the left-hand discontinuity of the amplitude. The behavior of the Regge trajectories at inelastic thresholds is determined. The results are extended to relativistic models with infinite-dimensional unitarity relation but without crossing symmetry such as the Bethe-Salpeter amplitude. The implications of the results to the exact S-matrix theory are also discussed. (auth)
- Research Organization:
- Univ. of California, Berkeley
- NSA Number:
- NSA-17-000998
- OSTI ID:
- 4775465
- Journal Information:
- Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 128; ISSN PHRVA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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