Suhonen 썸네일형 리스트형 Ch5 The Mean Field Shell Model Open in New Window 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 6.1.7 Weisskopf Units and Transition Rates We can estimate the transition probability by adopting the approximation: the radial wave function is assumed to be constant inside the nucleus and zero outside. Then, by the normalization condition, \begin{eqnarray} \int g_{nl}(r) g_{nl}(r) r^2 dr \approx g_{nl}^2 \int_0^R r^2 dr = g_{nl}^2 \frac{R^3}{3} = 1 \Rightarrow g_{nl} \approx \sqrt{\frac{3}{R^3}} \ \ {\rm at} \ r \le R. \end{eqnarray} .. 더보기 6.1.4 Properties of the Radial Integrals (+Python code) In this section, our purpose is to evaluate the radial integrals in the single-particle matrix elements of the multipole operators: 2024.03.28 - [Nuclear Physics/From Nucleons to Nucleus] - 6.1.3 Single-Particle Matrix Elements of the Multipole Operators 6.1.3 Single-Particle Matrix Elements of the Multipole Operators In this posting, I derive the single-particle matrix elements of the multipole.. 더보기 이전 1 2 3 다음
