通过定域高斯叠加实现原子核多体波函数
An implementation of nuclear many-body wave functions by the superposition of localized Gaussians
AI总结:
提出将单粒子波函数描述为定域高斯叠加的原子核结构计算新框架,该框架结合了Hartree-Fock与AMD模型,在氧、钙同位素和100Sn计算中显著优于AMD且媲美Hartree-Fock(-Bogoliubov)计算。
摘要:
我们引入了一种用于低能原子核结构计算的新框架,该框架将单粒子波函数描述为定域高斯函数的叠加。它是Hartree-Fock(哈特里-福克)和antisymmetrized molecular dynamics(反对称化分子动力学)模型的混合。在氧同位素、钙同位素和100Sn的数值计算中,该框架展现了其潜力,显著改进了AMD,并产生了与基于谐振子展开的Hartree-Fock(-Bogoliubov)计算一致甚至更好的结果。除基本方程外,还给出了矩阵元的一般形式。
英文摘要:
We introduce a new framework for the low-energy nuclear structure calculations, which describes the single-particle wave function as a superposition of localized Gaussians. It is a hybrid of the Hartree-Fock and antisymmetrized molecular dynamics models. In the numerical calculations of oxygen, calcium isotopes and 100Sn, the framework shows its potential by significantly improving upon AMD and yielding the results consistent with or even better than Hartree-Fock(-Bogoliubov) calculations based on harmonic oscillator expansions. In addition to the basic equations, general form of the matrix elements is also given.
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