Abstract
The motion of a system of A particles with translationally invariant interaction is separated into the centre-of-mass motion and the internal motion. For special examples the wave function of the internal motion is split again into a product of two functions, one describing the “global” mode of motion and the other the “specific” mode of motion. The functions of the centre-of-mass motion and the global mode of motion depend only on totally symmetric combinations of the particle coordinates. The contribution of the global motion to the energy spectrum is independent of the number of particles. The function describing the specific mode of motion takes into account all conditions for the total wave function which are connected with the Pauli principle, the spin and the isobaric spin of the system. The corresponding eigenvalue spectrum depends on the number of particles. With the help of these considerations a suggestion is offered on the structure of the so-called nuclear “collective coordinates”.
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