Perturbed angular correlation: Difference between revisions

Revision as of 11:00, 6 January 2020

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== Theory ==

[[File:Cascade3.png|thumb|right|General γ-γ-cascade with life-time <math>\tau_N</math> of the intermediate state.]]

The first <math>\gamma</math>-quantum (<math>\gamma_1, k_1</math>) will be emitted isotopically. Detecting this quantum in a detector selects a subset with an orientation of the many possible directions that has a given. The second <math>\gamma</math>-quantum (<math>\gamma_2, k_2</math>) has an anisotropic emisisonemission and shows the effect of the angle correlation. The goal is to measure the relative probability <math>W(\Theta)\textrm{d}(\Omega)</math> with the detection of <math>\gamma_2</math> at the fixed angle <math>\Theta</math> in relation to <math>\gamma_1</math>. The probability is given with the angle correlation ([[Perturbation theory (quantum_mechanics)#Time-dependent_perturbation_theory|perturbation theory]]):

:<math>W(\Theta)=\sum^{k_{max}}_{k}A_{kk}P_{k}cos(\Theta)