Determination of Neutron Reduced Widths by theN14(N14,N13)N15Reaction

Abstract

Measurements have been made of cross sections for the neutron transfer reaction ${}_{}{}^{14}{}_{}{}^{}\mathrm{N}$(${}_{}{}^{14}{}_{}{}^{}\mathrm{N}$,${}_{}{}^{13}{}_{}{}^{}\mathrm{N}$)${}_{}{}^{15}{}_{}{}^{}\mathrm{N}$ at energies below the Coulomb barrier. It is shown that the tunneling theory for neutron transfer is consistent with the angular distribution function, $\frac{d\sigma \left(\theta \right)}{d\Omega }$, at the center-of-mass energy of 6.62 MeV. By using the tunneling theory, the single-particle reduced width ${{\theta }_0}^2$ is found to be (4.5±1.0)×${10}^{-2\mathrm{}}$ for the transferred neutron at a radius of 5 F by assuming that ${{\theta }_0}^2$ is the same for ${}_{}{}^{14}{}_{}{}^{}\mathrm{N}$ and ${}_{}{}^{15}{}_{}{}^{}\mathrm{N}$. This value is to be compared to ${{\theta }_0}^2=(4.0\mathrm{}\pm 1.0)\times {10}^{-2\mathrm{}}$ as determined from ($d,p$) stripping and ${{\theta }_0}^2=(5.2\mathrm{}\pm 1.0)\times {10}^{-2\mathrm{}}$ as determined from shell-model calculations. Good agreement is thus obtained between reduced widths determined by neutron transfer and by ($d,p$) reactions.