标题： s-p和s-d壳核的一体密度矩阵和动量分布 显示英文标题

标题： One-body density matrix and momentum distribution in s-p and s-d shell nuclei

摘要： 推导了具有 N = Z 的 s-p 和 s-d 壳核的一体密度矩阵和动量分布聚集体展开式中的一体和二体项的解析表达式。它们依赖于谐振子参数 b 和源自 Jastrow 相关函数的参数 $\beta$。这些参数已经通过最小二乘法拟合实验电荷形式因子来确定。短程关联的引入增加了所有我们考虑的核的动量分布的高动量分量 $n({\bf k})$，而在小 k 值和高动量分量处存在 $n({\bf k})$的 A 依赖性。当将 $^{24}$镁、$^{28}$硅和 $^{32}$硫核视为 1d-2s 壳层核并在形式因子拟合中将 2s 态的占据概率作为额外自由参数时，$n({\bf k})$的高动量分量的 A 依赖性变得相当小。 显示英文摘要

摘要： Analytical expressions of the one- and two- body terms in the cluster expansion of the one-body density matrix and momentum distribution of the s-p and s-d shell nuclei with N=Z are derived. They depend on the harmonic oscillator parameter b and the parameter $\beta$ which originates from the Jastrow correlation function. These parameters have been determined by least squares fit to the experimental charge form factors. The inclusion of short-range correlations increases the high momentum component of the momentum distribution, $n({\bf k})$ for all nuclei we have considered while there is an A dependence of $n({\bf k})$ both at small values of k and the high momentum component. The A dependence of the high momentum component of $n({\bf k})$ becomes quite small when the nuclei $^{24}$Mg, $^{28}$Si and $^{32}$S are treated as 1d-2s shell nuclei having the occupation probability of the 2s-state as an extra free parameter in the fit to the form factors.