A simple and model-independent method is described to derive neutron single-particle spectroscopic factors of bound s-wave states in $^{ A+1}Z = ^{ A}Z \otimes n$ nuclei from neutron scattering lengths. Spectroscopic factors for the nuclei ^{ 13}C, ^{ 14}C, ^{ 16}N, ^{ 17}O, ^{ 19}O, ^{ 23}Ne, ^{ 37}Ar, and ^{ 41}Ar are compared to results derived from transfer experiments using the well-known DWBA analysis and to shell model calculations. The scattering length of ^{ 14}C is calculated from the ^{ 15}C_{ g.s.} spectroscopic factor.
Categories: nucl-th nucl-ex