Solution for boson-diboson elastic scattering at zero energy in the shape-independent model

Journal Article · Thu Sep 15 00:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.72.032709· OSTI ID:20718547

Macek, J H; Ovchinnikov, Serge; Gasaneo, Gustavo ^[1]

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1. Department of Physics and Astronomy, University of Tennessee, Knoxville Tennessee 37996-1501 (United States) and Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6372 (United States)

We derive an exact analytic expression for the boson-diboson elastic scattering phase shift in the shape-independent model for positive two-body scattering lengths when the total energy vanishes. A three-body hard-core potential depending upon a hyperradial cutoff parameter R{sub 0} is introduced to obtain a finite result. The exact result is compared with adiabatic hyperspherical calculations of the phase shift, and a similar functional dependence on the cutoff parameter is found. The cutoff parameter plays the role of a renormalization constant in that it renormalizes the wave function at vanishing hyperradius.

• OSTI ID: 20718547
• Journal Information: Physical Review. A, Vol. 72, Issue 3; Other Information: DOI: 10.1103/PhysRevA.72.032709; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN CONDENSATION
BOSONS
ELASTIC SCATTERING
HARD-CORE POTENTIAL
MATHEMATICAL SOLUTIONS
PHASE SHIFT
RENORMALIZATION
SCATTERING LENGTHS
THREE-BODY PROBLEM
TWO-BODY PROBLEM
WAVE FUNCTIONS