AUTHOR=Timofeyuk N. K. , Gómez-Ramos M. 

TITLE=Cluster scattering in the non-local model

JOURNAL=Frontiers in Physics

VOLUME=Volume 11 - 2023

YEAR=2023

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2023.1197726

DOI=10.3389/fphy.2023.1197726

ISSN=2296-424X

ABSTRACT=Scattering of weakly-bound nuclei with a pronounced cluster structure is strongly affected by their breakup. Usually, this mechanism is accounted for in a three-body model with pairwise potentials. The interaction potentials between complex systems are nonlocal due to the existence of excitation channels and antisymmetrization.  However, a common practice is to use   local optical potentials in cluster scattering studies. To assess the validity of replacing nonlocal optical potentials by their local equivalents we  extend  the local equivalent discretised coupled channel (LECDCC) approach proposed by us for deuteron scattering in [Phys. Rev. C98, 011601(R) (2018)] to the case of cluster scattering. We consider the case of $^6$Li+$^{120}$Sn at 27 and 60 MeV and compare the angular distributions and reaction cross sections for elastic and breakup cross sections with those obtained in standard CDCC with local equivalents of nonlocal potentials. We found that while elastic scattering is  not  significantly affected by nonlocality, the breakup observables  could be affected by up to 20$\%$ depending on kinematical conditions of their observation.