Contribution of Deuteron Breakup Channels to Deuteron Stripping and Elastic Scattering

Improved description ofAr34,36,46(p,d) transfer reactio

“…The most recent analysis on A(p,d)B reactions [13,16,26,32,33] have relied on the Johnson and Soper reaction model [27]. Given the relative importance of deuteron breakup in (d,p) and (p,d) reactions, Johnson and Soper consider the three-body problem of n + p + B to describe the process.…”

“…In Ref. [27], the zero-range approximation is made V np (r)φ d (r) = D 0 δ(r). With this approximation, the three-body problem for calculating Ψ (+) ( r, R) reduces to the solution of an optical-model-like equation where the distorting potential is the sum of the nucleontarget potentials evaluated at half the deuteron energy…”

“…As in previous systematic studies [26], the recent 34,36,46 Ar(p,d) data [9] were analyzed using the adiabatic wave model (ADWA) developed by Johnson and Soper [27]. This model provides an improvement over distorted wave Born approximation (DWBA) in that it takes deuteron breakup into account explicitly, however it also makes a zero-range approximation, reducing the accuracy of the method.…”

Four-body adiabatic model applied to elastic scattering

“…The figure shows the effect of including channels with different breakup angular momenta. Several channels show a significant effect for the largest calculation attempted, including (1,1), (1,0), (1,2), (1,3), (3,1). This calculation includes all channels that can be reached in one step with the potentials expanded to l 1 , l 2 ≤ 2.…”

“…In this paper we extend the adiabatic model first described by Johnson and Soper [3] to describe reactions of two-body projectiles. It is assumed that the internal motion of the N-clusters within the projectile is slow compared to the relative motion of the projectile and target.…”