Spontaneous emission from excited quantum kinks

A bstract Many kink solutions enjoy internal excitations, called shape modes. In some 1+1d scalar models, such as the ? 4 double-well model, when a kink’s mode is excited twice it may decay to ground state plus meson. We analytically calculate rates of both twice-excited and also coherent corresponding classically mode. case we find that latter agrees with classical result Manton Merabet.