Implications of relativistic corrections on high-momentum nucleon-transfer reactions

Abstract

High-momentum components (HMCs) of nuclear wave functions, governed by short-range nucleon-nucleon correlations, provide essential insights into nuclear structure beyond the mean-field picture. High-energy (p, d) reactions offer access to these HMCs, but their theoretical treatment requires relativistic corrections when incident proton energies reach several hundred MeV. Although effects of relativistic kinematic corrections (RKCs) have been studied in several types of direct nuclear reactions, it has not been systematically studied in nucleon transfer reactions. Here, RKCs are incorporated into the adiabatic distorted wave approximation (ADWA) for (p, d) reactions by redefining particle masses in the zero-momentum frame. The approach is validated against proton elastic scattering data on 16O from 135 to 800 MeV using Dirac global optical model potentials, and then applied to (p,d) reactions on 12C, 16O, and 40Ca at incident energies from approximately 50 to 800 MeV. The RKCs yield neutron spectroscopic factors that are significantly more consistent across the entire energy range than those obtained from non-relativistic calculations, which systematically overestimate spectroscopic factors obtained at high incident energies. The present analysis demonstrates that relativistic kinematic corrections are of fundamental importance for the reliable extraction of spectroscopic factors and the accurate description of high-momentum nucleon-transfer reaction data.