Breakup in nucleon-deuteron scattering withΔ-isobar excitation

Abstract

Breakup in nucleon-deuteron scattering is described. The description is based on a coupled-channel twobaryon potential that allows for the virtual excitation of a nucleon to a ⌬ isobar. The Coulomb interaction is not included. Channel coupling gives rise to an effective three-nucleon force. The three-particle scattering equations are solved by real-axis integration using a separable expansion of the two-baryon transition matrix. Examples for spin-averaged and spin-dependent observables are calculated and compared with experimental data.

Adiabatic approximation versus exact Faddeev method for (d,p) and (p,d) reactions

“…Another limitation of the method comes from the Pade summation technique for solving the AGS integral equation iteratively [26]; usually it is hard to achieve convergence for heavier nuclei at low energies. For more details on the numerical techniques we refer the reader to [23,[25][26][27].…”

First order relativistic three-body scattering

“…A summary of these achievements can be found in Refs. [2,3,4,5]. The approach described there is based on using angular momentum eigenstates for the two-and three-body systems.…”

Three-body Faddeev like approach to direct nuclear reactions

“…Original [6] and adjusted values of these parameters are given in Table 1 for N-12 C and N- 16 O interactions. In the present model only the modified nA parameters are used in given partial waves leading to the single particle states listed in Table 2 for 13 C and 17 O; in all other nA partial waves we used the original parameters [6] as well as for the pA optical potential. While in d + A scattering the pA and nA potentials are complex, in p + (An) scattering only the pA potential is complex.…”

“…In this section we set the three-body dynamics we apply to study all the reactions initiated by deuterons on 10 Be, 12 C and 16 O as well as protons on 11 Be, 13 C and 17 O where 10 Be, 12 C and 16 O are considered as inert cores.…”

“…In this work we attempt to calculate all observables using dynamical models based on energy-independent or energy-dependent optical potentials for the nucleon-nucleus interaction [6] and realistic neutron-proton (np) potentials such as CDBonn [7]. Some examples are shown for reactions initiated by deuterons on 10 Be, 12 C and 16 O, as well as protons on 11 Be, 13 C and 17 O. Although the use of energy-dependent potentials in three-body calculations is not free of theoretical problems that are discussed below, the results we show demonstrate the possibilities and the shortcomings of this model; this is, above all, the aim of the present paper.…”