Nuclear reorientation and Coulomb excitation in a magnetic field

We study the scattering of a charged structureless particle by a nucleus, described by means of its electric multipole moments, projectile and target being immersed in a homogeneous and constant magnetic field. We present an analytical expression and a recurrence rule for the matrix elements of any multipole operator. The multipoles higher than zero induce reorientations of the target. The Coulomb excitation rates we obtained coincide in the zero-field limit with the well-known field-free result