Integral relations for three-body continuum states with the adiabatic expansion

Abstract

Application of the Hyperspherical Adiabatic expansion to describe three-body scattering states suffers the problem of a very slow convergence. Contrary to what happens for bound states, a huge number of hyperradial equations has to be solved, and even if done, the extraction of the scattering amplitude is problematic. In this paper we show how to obtain accurate scattering phase shifts using the Hyperspherical Adiabatic expansion. To this aim two integral relations, derived from the Kohn Variational Principle, are used. The convergence of this procedure is as fast as for bound states.

4 pages, 1 figure

References in corpus (6)

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• Quantum Monte Carlo calculations of neutron-alpha scattering
• Adiabatic hyperspherical study of triatomic helium systems
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• Recombination rates from potential models close to the unitary limit
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• Theoretical description of three- and four-nucleon scattering states using bound-state-like wave functions
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• Selected Topics in Three- and Four-Nucleon Systems
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