Superradiance for the study of gamma ray lasers in a system with a change of angular momentum

The superradiance of a system of isomer nuclei (atoms) due to electromagnetic transitions with the change in angular motion momentum is studied analytically. It was assumed that the atomic elements of the system were connected to each other by a magnetic-exchange interaction. It is shown that the interaction may be of the Ruderman-Kittel or the Shull-Nakamura types, as well as of any other types which result in nuclear ferromagnetism at temperatures below the critical level. The initial state of the system is found to have a full symmetric wave function which is the eigenfunction of the whole Hamiltonian, as well as the R(2), R(z), J(2) and J(z) operators and the maximum cooperation number. The superradiance intensity of the system is found, assuming /k/ is constant for the angles from zero to the Bragg angle. The application of the initial state analysis to the study of gamma-ray laser systems is discussed.