Uncertainty Quantification of the Experimental Spectroscopic Factor from Transfer Reaction Models

Abstract

We study the uncertainty stemming from different theoretical models in the spectroscopic factors extracted from experiments. We use three theoretical approaches, the distorted wave Born approximation (DWBA), the adiabatic distorted wave approximation (ADWA) and the continuum discretized coupled-channels method (CDCC), and analyze the 12C(d, p)13C, 14C(d, p)15C reactions. We find that the uncertainty associated with the adopted theoretical models is less than 20%. We also investigate the contribution from the remnant term and observe that it gives less than 10% uncertainty. We finally make an attempt to explain the discrepancy in the spectroscopic factors of $$^{17}C(\frac{3}{2}^+)$$ between the ones extracted from experiments and from shell model calculations by analyzing the 16C(d, p)17C reaction.