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Nuclear Physics/From Nucleons to Nucleus

Ch5 The Mean Field Shell Model Open in New Window 더보기
6.2.3 Magnetic Dipole Moments: Schmidt Lines In the previous posting, we derived the magnetic dipole moment for the single particle state as follows:(Link: 2024.04.11 - [Nuclear Physics/From Nucleons to Nucleus] - 6.1.6 Electromagnetic Multipole Moments )\begin{eqnarray} \mu_{\rm sp} = \mu_N \frac{(1 - (-1)^{l+j+\frac{1}{2}}(2 j+ 1))}{4(j+1)} \left[g_s - g_l \left( 2 + (-1)^{l+j+\frac{1}{2}} (2j+1) \right) \right]. \end{eqnarray} Using the.. 더보기
6.2.2 Examples: Transitions in One-Hole Nuclei 15N and 15O In the previous posting, we derived the reduced transition probability for one-particle and one-hole nuclei:2024.04.14 - [Nuclear Physics/From Nucleons to Nucleus] - 6.2 Electromagnetic Transitions in One-Particle and One-Hole Nuclei - 6.2.1 Reduced Transition Probabilities 6.2 Electromagnetic Transitions in One-Particle and One-Hole Nuclei - 6.2.1 Reduced Transition ProbabilitiesIn this blog po.. 더보기
6.2 Electromagnetic Transitions in One-Particle and One-Hole Nuclei - 6.2.1 Reduced Transition Probabilities In this blog posting, for the simple case of one-particle and one-hole nucleus, I will introduce how to obtain reduced transition probabilities: \begin{eqnarray} (\xi_f \, J_f || {\pmb {\cal M}}_{\sigma \lambda} || \xi_i \, J_i ) = \hat{\lambda}^{-1} \sum_{ab} (a || {\pmb {\cal M}}_{\sigma \lambda} || b) (\xi_f \, J_f || [c_a^\dagger \tilde{c}_b ]_\lambda || \xi_i \, J_i). \tag{1}\label{1}\end{e.. 더보기