Elastic deuteron-nucleus scattering as a discretized three-body problem

Four-body continuum-discretized coupled-channels calculations

“…For a four-body problem (three-body projectile) this method has already been applied using a PS basis based on Gaussian functions. The scattering of 6 He by 12 C [16] and 209 Bi [44] have been studied. In both cases a good agreement was obtained with the experimental data of Refs.…”

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

“…The n+ 12 C potential was taken from the global parametrization of Watson et al [56]. The α+ 12 C potential was represented in terms of a standard Woods-Saxon shape with the parameters adjusted in order to reproduce the elastic data for this system at 34.75 MeV per nucleon [57].…”

“…An alternative to the binning procedure is to represent the continuum spectrum by the eigenstates of the internal Hamiltonian in a basis of square integrable (or L 2 ) functions, such as Laguerre [6][7][8], Gaussian [9,10], or Sturmian [11][12][13][14] functions. In practice, the diagonalization is performed in a finite (truncated) set of states and the resulting eigenstates, also known as pseudostates (PS), are regarded as a finite and discrete representation of the spectrum of the system.…”

Continuum discretization methods in a composite particle scattering off a nucleus: Benchmark calculations

“…This reaction has been also used to compare the CDCC and Faddeev approaches in a recent work [24], showing very good agreement between both methods. It will be vividly demonstrated that the contribution of the closed channels, which are commonly neglected in CDCC calculations [1][2][3][4][5][6][7][8][9]12], increases essentially when the projectile energy gets low. In principle, closed channels can be incorporated within the CDCC scheme; however, in this case the solution of the coupled equations becomes numerically unstable.…”

“…Historically, the main progress in studying elastic and inelastic (breakup) composite projectile scattering off a heavy target was made within the continuum-discretized coupledchannel (CDCC) method [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] in the framework of the Schrödinger coupled-channel scheme. In the CDCC approach, the total three-body scattering wave function (initial versions of the method assumed the projectile to be a two-fragment nucleus) is expanded in a complete basis of the fragment relative motion of the projectile, and the unknown three-dimensional elastic and breakup channel wave functions of the projectile c.m.…”