Effective method for calculating the phase shifts for the scattering of slow particles with nonzero orbital angular momentum

Journal Article · Mon Sep 01 04:00:00 EDT 1986 · Theor. Math. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01018223· OSTI ID:6901747

Bruk, Y M

Pais's functional equation for the phase shifts for scattering with nonzero angular momentum is solved for particles with low energies. It is shown that for short-range potentials with screening (in particular, of Yukawa or Thomas-Fermi type), Pais's equation reduces to transcendent equations. For potentials about/r /sup n/, n > 0, simple algebraic equations are obtained for finding the phase shifts delta /sub l/, l is identical to 0. The possibility of using Pais's approximation to find resonance situations in the case of the scattering of slow particles with nonzero angular momentum is discussed.

• Research Organization: L.F. Vereshchagin Institute of High - Energy Physics, Acad. of Sci.
• OSTI ID: 6901747
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 66:3; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
ATOMIC MODELS
COULOMB FIELD
ELASTIC SCATTERING
ELECTRIC FIELDS
ENERGY DEPENDENCE
MATHEMATICAL MODELS
MECHANICS
NUCLEAR POTENTIAL
NUCLEAR SCREENING
ORBITAL ANGULAR MOMENTUM
PARTIAL WAVES
PARTICLES
PHASE SHIFT
POTENTIAL SCATTERING
POTENTIALS
QUANTUM MECHANICS
SCATTERING
SCREENING
THOMAS-FERMI MODEL
YUKAWA POTENTIAL