Integral relations and the adiabatic expansion method for 1+2 reactions above the breakup threshold: Helium trimers with soft-core potentials

Abstract

The integral relations formalism introduced in \cite{bar09,rom11}, and designed to describe 1+$N$ reactions, is extended here to collision energies above the threshold for the target breakup. These two relations are completely general, and in this work they are used together with the adiabatic expansion method for the description of 1+2 reactions. The neutron-deuteron breakup, for which benchmark calculations are available, is taken as a test of the method. The s-wave collision between the ${}^4$He atom and ${}^4$He${}_2$ dimer above the breakup threshold and the possibility of using soft-core two-body potentials plus a short-range three-body force will be investigated. Comparisons to previous calculations for the three-body recombination and collision dissociation rates will be shown.

To be published in Physical Review A

References in corpus (2)

• Adiabatic hyperspherical study of triatomic helium systems
• Three-Nucleon Continuum by means of the Hyperspherical Adiabatic Method

Cited by in corpus (10)

• Effective Field Theory Analysis of Three-Boson Systems at Next-To-Next-To-Leading Order
• Breakup of three particles within the adiabatic expansion method
• Recombination rates from potential models close to the unitary limit
• Probing the Efimov discrete scaling in atom-molecule collision
• Cold atom-dimer reaction rates with ${}^4$He, ${}^{6,7}$Li and ${}^{23}$Na
• Three-body continuum wave functions with a box boundary condition
• Three-body continuum states and Efimov physics in non-integer geometry
• Perspectives on few-body cluster structures in exotic nuclei
• Scattering of cold ${}^4$He on ${}^4$He${-}^{6,7}$Li and ${}^4$He${-}^{23}$Na molecules
• Convergence of the $ppp$ correlation function within the hyperspherical adiabatic basis