Background Single-neutron transfer reactions populating states in the continuum are interesting both for structure and astrophysics. In their description often global optical potentials are used for the nucleon-target interactions, and these interactions are typically local. In our work, we study the effects of nonlocality in (d, p) reactions populating continuum states. This work is similar to that of [1] but now for transfer to the continuum.Purpose A theory for computing cross sections for inclusive processes A(d, p)X was explored in [2]. Therein, local optical potentials were used to describe the nucleon-target effective interaction. The goal of the present work is to extend the theory developed in [2] to investigate the effects of including nonlocality in the effective interaction on the relevant reaction observables.Method We implement the R-matrix method to solve the non-local equations both for the nucleon wavefunctions and the propagator. We then apply the method to systematically study the inclusive process of (d, p) on 16 O, 40 Ca, 48 Ca and 208 Pb at 10, 20 and 50 MeV. We compare the results obtained when non-local interactions are used with those obtained when local equivalent interactions are included.Results We find that nonlocality affects different pieces of the model in complex ways. The competition between the reduction of the propagator and the neutron wavefunction in the region of interest and the increase of the magnitude of the interaction produces varying effects on the cross section. Depending on the beam energy and the target, the non-elastic breakup can either increase or decrease. Effects on the heavier targets can be as large as 85%.Conclusions While the non-elastic transfer cross section for each final spin state can change considerably, the main prediction of the model [2], namely the shape of the spin distributions, remains largely unaltered by nonlocality.

Abstract. This is a brief report on the progress made towards an exact theory for (d,p) on heavy nuclei, which is important to determine neutron capture rates for r-process nuclei. We first discuss the role of core excitation in the framework of Faddeev equations. Following that, we provide the status of the Faddeev theory being developed in the Coulomb basis with separable interactions. We then present some recent developments on nonlocal nucleon optical potentials. Finally, the progress on the theory transfer to the continuum is summarized.

The triaxiality of odd-mass nuclei is investigated by coupling a quasiparticle to an even-even core through the core-quasiparticle coupling model. Both soft and rigid triaxial cores are considered. The "soft core" is described by the collective model with rotation-vibrational motion, while the "rigid core" is described by the triaxial rotor model, which is a limiting case of the collective model with only rotational motion. We show that the presence of the odd quasiparticle modifies the collective quadrupole dynamics of the core to appear more "rigid".

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