Resonating-group study ofN+O16scattering with a generator-coordinate technique

Abstract

The scattering of nucleons by ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ is studied with the resonating-group method. The ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ wave function used is a translationally invariant antisymmetrized product of single-particle wave functions of ${\mathrm{}\left(1s\right)\mathrm{}}^4{\mathrm{}\left(1p\right)\mathrm{}}^{12}$ configuration in a harmonic-oscillator well having an appropriately chosen width parameter. A generator-coordinate technique is employed to facilitate the computation of the nonlocal interaction between the nucleon and the ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ nucleus. This technique is discussed in some detail in order to demonstrate its utility in a nuclear problem involving a relatively large number of nucleons. Calculated results are compared with experimental data over a wide range of energies, and it is found that the agreement is in general quite satisfactory. Also, the result shows that in this particular problem the heavy-particle pickup process, which is properly taken into consideration by the use of a totally antisymmetric wave function, has a relatively small contribution.