WATSON-SOMMERFELD TRANSFORMATION FOR MANY-PARTICLE SCATTERING AMPLITUDES
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)
- Research Organization:
- California Inst. of Tech., Pasadena
- NSA Number:
- NSA-18-021040
- OSTI ID:
- 4006388
- 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- Physical Review (U.S.) Superseded in part by Phys.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, Vol. Vol: 134; Other Information: Orig. Receipt Date: 31-DEC-64
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
Similar Records
Sommerfeld--Watson representation for double-spectral function. II. Crossing symmetric pion--pion scattering amplitude without Regge poles
ON COMPLEX ANGULAR MOMENTUM IN MANY-CHANNEL POTENTIAL-SCATTERING PROBLEMS. PART II