Quasi-Deuteron Model and the Internal Momentum Distribution of Nucleons inC12

Abstract

The quasi-deuteron model was assumed in computing the internal momentum distribution of nucleons in ${\mathrm{C}}^{12}$ using the monoergic photodata of Cence and Moyer and the bremsstrahlung photodata of the Purdue group. The computed quasi-deuteron momentum distribution has the form $\frac{A\exp (-\frac{p^2}{4M{E}_1})}{{\left(4\mathrm{}\pi M{E}_1\right)}^{1.5}}+\frac{B{p}^2\exp (-\frac{p^2}{4M{E}_2})}{1.5{\pi }^{1.5}{\left(4M{E}_2\right)}^{2.5}}$, where $E_1$ is 1.5 MeV and $E_2$ is 5 MeV. The ratio $\frac{B}{A}$ is approximately 2. These two components resemble the ($1s$) and ($1p$) wave functions of the shell model. The ($1s$) component is associated with a binding energy 40 MeV while the ($1p$) component is associated with a binding energy 10 MeV. The internal momentum distribution of nucleons in ${\mathrm{C}}^{12}$ was calculated from this quasideuteron momentum distribution assuming that the nucleons exist in proton-neutron pairs in the nucleus.