BOUNDS ON MOMENTUM DEPENDENCE OF PHASE SHIFTS AND MAGNITUDE OF COUPLING CONSTANTS

Journal Article · Fri Feb 15 04:00:00 EST 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.129.1905· OSTI ID:4705567

Bincer, A M; Sakita, B

The analytic structure of partial-wave amplitudes is used to derive a dispersion relation for the scattering phase shift. This dispersion relation is used to obtain a lower bound on the momentum derivative of the phase shift. The bound depends on an integral over the unphysical (left-hand) cut in the momentum squared plane and can be expressed in terms of the number of zeros of the real part of the S matrix along the unphysical cut. Stronger bounds are also presented involving the position of these zeros and the locations and widths of resonances and virtual states. The same approach is used to obtain limits on the magnitude of coupling constants. (auth)

• Research Organization: Univ. of Wisconsin, Madison
• NSA Number: NSA-17-011922
• OSTI ID: 4705567
• Report Number(s): TID-16787; 0031-899X
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 129; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

COUPLING
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
ELEMENTARY PARTICLES
FIELD THEORY
INTEGRALS
INTERACTIONS
MATHEMATICS
MATRICES
MOMENTUM
PHASE SHIFT
PHYSICS
QUANTUM MECHANICS
RESONANCE
S-MATRIX
SCATTERING
SCATTERING AMPLITUDE
SPECTRAL SHIFT