Phys. Rev. A 72, 032709 (2005) [9 pages]Solution for boson-diboson elastic scattering at zero energy in the shape-independent modelReceived 21 March 2005; published 9 September 2005 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 R0 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.032709
DOI:
10.1103/PhysRevA.72.032709
PACS:
34.50.−s
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