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UPPER BOUNDS ON SCATTERING LENGTHS FOR COMPOUND SYSTEMS. n-D QUARTER SCATTERING

Journal Article · · Physical Review (U.S.) Superseded in part by Phys.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
;
In the zero-energy scattering of a particle by a compound system under the conditions that (1) only one exit channel is open (elastic scattering) and (2) no composite bound state exists for the particle and the scattering system in the state of given total angular momentum, the Kohn variational principle gives an upper bound on the scattering length. This is one of several results given previously for the case of scattering by a center of force which may be taken over directly, provided conditions (1) and (2) are satisfied. As a particular application of these results, several previous calculations of the n-D quartet scattering length, A/sub Q/, based on the Kohn principle (the method of Verde and the static approximation of Buckingham and Massey are included) are reanalyzed using the rigorous criterion that the best result is the one giving the lowest value. Further, some calculations of A/sub Q/ based on the Rubinow formulation, which do not necessarily provide a bound, are converted to the Kohn form, thereby obtaining, in addition to a bound, an improved approximation to the scattering length. Some limitations and possible extensions of the method are discussed. (auth)
Research Organization:
Washington Square Coll., New York; New York Univ., New York
NSA Number:
NSA-14-013177
OSTI ID:
4144094
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Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 117; ISSN PHRVA
Country of Publication:
Country unknown/Code not available
Language:
English

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Related Subjects

ANGULAR MOMENTUM
BINDING ENERGY
BOUND STATE
COMPOUND NUCLEI
DEUTERONS
EXCITATION
MOMENTUM
NEUTRONS
NUCLEAR MODELS
NUCLEI
PHYSICS
SCATTERING