论文标题
配对，准旋转和资历
Pairing, quasi-spin and seniority
论文作者
论文摘要
我们介绍了关于配对，准旋转和资历的讲座和教程的简洁注释，该笔记在塞族学校就对核物理学中的角色，amity大学的角色，$ 2019 $。从残留核子核子相互作用的某些通用特征开始，我们为$δ$ - 互动的矩阵元素提供了详细的推导，这是标准配对哈密顿量的基础。然后，在准旋转形式主义中获得标准配对哈密顿量的特征值。涉及准旋转算子的代数是使用单核的an灭和创建算子以及WITWS定理的应用来明确执行的。预计这些技术有助于推导$ hartree-fock $，$ bardeen-cooper-schrieffer $和$ hartree-fock $ bogoliubov Theories的平均场方程。
We present our concise notes for the lectures and tutorials on pairing, quasi-spin and seniority delivered at SERB school on Role of Symmetries in Nuclear Physics, AMITY University, $2019$. Starting with some generic features of residual nucleon-nucleon interactions, we provide detailed derivation of the matrix elements for the $δ$-interaction which is the basis for the standard pairing Hamiltonian. The eigen values for standard pairing Hamiltonian are then obtained within the quasi-spin formalism. The algebra involving quasi-spin operators is performed explicitly using the annihilation and creation operators for single nucleon together with the application of Wicks theorem. These techniques are expected to be helpful in deriving the mean-field equations for the $Hartree-Fock$, $Bardeen-Cooper-Schrieffer$ and $Hartree-Fock$ Bogoliubov theories.
