UPPER BOUNDS ON SCATTERING LENGTHS FOR STATIC POTENTIALS

Journal Article · Sun Nov 15 04:00:00 EST 1959 · Physical Review (U.S.) Superseded in part by Phys.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.116.1034· OSTI ID:4198424

Spruch, L; Rosenberg, L

It is shown that in the zero-energy scattering of a particle by a center of force, where no bound state exists, the Kohn variational principle provides an upper bcund on the scattering length. A bound may also be obtained from Hulthen's method, although with the same form of trial function the Kohn result will be lower (and therefore better) than the one obtained from the Hulthen principle. The Rubinow formulation need not provide a bound; for those calculations which were performed in this form, the results may be converted without any further calculations so that they correspond to the Kohn form, and therefore, under the circumstances considered, do give a bound. Analogous results hold for states of nonzero orbital angular momentum. Direct generalizations of the above that they correspond to the Kohn form. and therefore. under the circumstances considered, do give a bound. Analogous results hold for states of nonzero orbital angular momentum. Direct generalizations of the above results are valid for scattering by a compound system. (auth)

• Research Organization: New York Univ.
• NSA Number: NSA-14-008038
• OSTI ID: 4198424
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 116; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
BOUND STATE
INTERACTIONS
MOMENTUM
PARTICLE MODELS
PHYSICS
SCATTERING