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Author Hartle, J. B.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ ANGULAR DISTRIBUTION ♦ ANGULAR MOMENTUM ♦ BEHAVIOR ♦ ELEMENTARY PARTICLES ♦ FIELD THEORY ♦ LEVELS ♦ MANY BODY PROBLEM ♦ MATHEMATICS ♦ MOMENTUM ♦ NUCLEONS ♦ QUANTUM MECHANICS ♦ REGGE POLES ♦ ROTATION ♦ SCATTERING ♦ SCATTERING AMPLITUDE ♦ SCHROEDINGER EQUATION
Abstract The continuation of many-particle partial-wave scattering amplitudes to complex values of the total anaular momentum is discussed in the framework of potential scattering. It is shown that if there is a continuation for which a Watson-Sommerfeld transformation of the full scattening amplitude can be made, then it is unique and determines the behavior of the amplitude for large values of any single scattering angle. The continuation of the partial-wave Schrodinger equation to complex values of the angular momentum is discussed, and tbe results are generalized to the case when exchange forces are present. As a simple application of the results, a crude nuclear model is discussed to illustrate how sequences of rotational levels can be described by Regge trajectories. (auth)
ISSN 0031899X
Educational Use Research
Learning Resource Type Article
Publisher Date 1964-05-11
Publisher Department California Inst. of Tech., Pasadena
Journal Physical Review
Volume Number 134
Organization California Inst. of Tech., Pasadena


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