Magnetic multipole radiation

The single-particle limit for magnetic multipole radiation obtained by assuming that the change in current is due to a single nucleon is... 

The transformation of the relativistic expression for the operator of magnetic multipole radiation (4.8) may be done similarly to the case of electric transitions. As has already been mentioned, in this case the corresponding potential of electromagnetic field does not depend on the gauge condition, therefore, there is only the following expression for the non-relativistic operator of Mk-transitions (in a.u.) ... 

A number of ideas of the theory of electronic transitions were discussed in Chapter 4. In Part 6 we are going to consider this issue in more detail. Let us start with the definition of the main characteristics of electronic transitions, common for both electric and magnetic multipole radiation. 

The probability of y-ray emission is given by the sum of the probabilities for the emission of the individual multipole radiations, which decrease drastically with increasing L. Furthermore, for a certain multipole, the probability of the emission of electric multipole radiation is about two orders of magnitude higher than that of the emission of magnetic multipole radiation. 

On the basis of the shell model of the nuclei, Weisskopf derived the following equations for the probabilities of y-ray emission, given by the decay constants Xe for electric multipole radiation and Am for magnetic multipole radiation ... 

Here we again consider a monochromatic radiation field. Let us stress that this expression describes the spatial anisotrophy of the electric field and therefore specifies the polarization of the electric multipole radiation. In the case of magnetic multipole radiation, the spatial anisotrophy of magnetic induction can be described by the following polarization matrix [89] ... 

The electric and magnetic dipole, quadrupole, octupole, etc., transitions are denoted by El, E2, E3,. .. and Ml, M2, M3,. .., respectively. The selection rules deduced from angular momentum and parity conservation laws for electric and magnetic multipole radiations are summarized in Table 2.6. 

---