A theoretical investigation of the photodisintegration of the alpha-particle (I)

Abstract

A discussion of four-body problems in nuclear physics is given, using group theory and isotopic spin formalism. Since only the spin and isotopic spin dependence of the wave function is considered, and no assumption is made on nuclear forces, the treatment is meant to be of a very general character and may constitute the basis for any discussion of four-body problems. The fundamental state of the alpha-particle is discussed and it is found that it must be a mixture of three different types of functions, which are actually evaluated. To prepare the ground for a second paper, the final states (D+D, H3+p, He3+n) are also dealt with. The electric dipole transition is introduced and some preliminary results in form of selection rules for the transition to the state D+D are given.