Three-body continuum wave functions with a box boundary condition

Abstract

In this work we investigate the connection between discretized three-body continuum wave functions, in particular via a box boundary condition, and the wave functions computed with the correct asymptotics. The three-body wave functions are in both cases obtained by means of the adiabatic expansion method. The information concerning all the possible incoming and outgoing channels, which appears naturally when the continuum is not discretized, seems to be lost when the discretization is implemented. In this work we show that both methods are fully equivalent, and the full information contained in the three-body wave function is actually preserved in the discrete spectrum. Therefore, in those cases when the asymptotic behaviour is not known analytically, i.e., when the Coulomb interaction is involved, the discretization technique can be safely used.

to be published in Few-body Systems

References in corpus (4)

• Integral relations for three-body continuum states with the adiabatic expansion
• General integral relations for the description of scattering states using the hyperspherical adiabatic basis
• Integral relations and the adiabatic expansion method for 1+2 reactions above the breakup threshold: Helium trimers with soft-core potentials
• Techniques to treat the continuum applied to electromagnetictransitions in ${}^8$Be

Cited by in corpus (4)

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