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 He+

Comparative Study of Three-Body Models for Continuum States

“…In d+nucleus collisions, even in elastic scattering, the experimental cross sections cannot be explained without including breakup channels. 10) The same problem occurs in 6 He+nucleus elastic scattering 11) where data are available, but is also expected to occur in all collisions involving a weakly bound nucleus.…”

“…This technique is widely used in coupled-channel calculations, 9) or in the calculations of dipole strengths in halo nuclei. 19), 31) The continuum is discretized over a finite basis as 11) and approximate scattering wave functions are determined at some positive (and real) energies E λ . Of course these eigenvalues depend on the basis, and are available at some energies only.…”

Analytical transformed harmonic oscillator basis for continuum discretized coupled channels calculations

“…[23]. Moreover, the method can be useful to study the continuum structure of two-and three-body systems with no bound states.…”

“…Although the method has been recently extended to three-body projectiles [23,34], in this paper we restrict ourselves to the two-body case.…”

“…Although originally designed to account for the effect of the breakup channels in direct nuclear reactions involving deuterons [1][2][3], it soon proved to be a useful tool to describe reactions induced by other weakly bound nuclei that could be to some extent described within a two-cluster model such as 6 Li [4][5][6][7][8][9] or 7 Li [9][10][11][12][13] and, more recently, the scattering of exotic nuclei such as 8 B [14][15][16][17], 7 Be [13], or 11 Be [18,19]. The CDCC method has been extended lately to describe the scattering of three-body projectiles and has successfully described the elastic scattering of 6 He [20][21][22][23].…”