Hyperspherical approach to atom--dimer collision with the Jacobi boundary condition

Abstract

In this study, we investigate atom--dimer scattering within the framework of the hyperspherical method. The coupled channel Schrödinger equation is solved using the R-matrix propagation technique combined with the smooth variable discretization method. In the matching procedure, the asymptotic wave functions are expressed in the rotated Jacobi coordinates. We apply this approach to the elastic scattering ${}^3$He(T$\uparrow$) + ${}^4$He${}_2$ and H$\uparrow$ + H$\uparrow$Li processes. The convergence of the scattering length as a function of the propagation distance is studied. We find that the method is reliable and can provide considerable savings over previous propagators.

References in corpus (6)

• Adiabatic hyperspherical study of triatomic helium systems
• The higher-order C_n dispersion coefficients for hydrogen
• Universality in molecular halo clusters
• Three-Nucleon Continuum by means of the Hyperspherical Adiabatic Method
• Van der Waals universality in homonuclear atom-dimer elastic collisions
• Cold atom-dimer reaction rates with ${}^4$He, ${}^{6,7}$Li and ${}^{23}$Na