Four-body continuum-discretized coupled-channels calculations using a transformed harmonic oscillator basis

Abstract

The scattering of a weakly bound three-body system by a target is discussed. A transformed harmonic oscillator basis is used to provide an appropriate discrete and finite basis for treating the continuum part of the spectrum of the projectile. The continuum-discretized coupled-channels framework is used for the scattering calculations. The formalism is applied to different reactions, $^{6}\mathrm{He}$$+$$^{12}\mathrm{C}$ at 229.8 MeV, $^{6}\mathrm{He}$$+$$^{64}\mathrm{Zn}$ at 10 and 13.6 MeV, and $^{6}\mathrm{He}$$+$$^{208}\mathrm{Pb}$ at 22 MeV, induced by the Borromean nucleus $^{6}\mathrm{He}$. Both the Coulomb and nuclear interactions with a target are taken into account.