COMPLEX ANGULAR MOMENTUM IN THREE-PARTICLE POTENTIAL SCATTERING

Journal Article · Mon May 11 04:00:00 EDT 1964 · Physical Review (U.S.) Superseded in part by Phys.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.134.B620· OSTI ID:4010963

Hartle, J R

The continuation of a class of three-particle potential scattering amplitudes to complex values of the total angular momentum is descnibed. The class of amplitudes considered are those that describe a scattering in which a given pair of the panticles is bound in the initial and final states. A nonrigorous discussion indicates that, except for simple kinematic factors, the only singularities present in the complex angular momentum plane are dynamical poles and possible isolated essential singularities. The Watson-Sommerfeld transformation of the full amplitude can be performed to display its large momentum-transfer behavior. (auth)

• Research Organization: California Inst. of Tech., Pasadena
• NSA Number: NSA-18-021041
• OSTI ID: 4010963
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 134; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
BEHAVIOR
BINDING ENERGY
MANY BODY PROBLEM
MATHEMATICS
MOMENTUM
MOTION
PARTICLES
PHYSICS
SCATTERING
SCATTERING AMPLITUDE
SINGULARITY
TRANSIENTS