Magnetic-moment evidence for the polyspheron structure of the lighter atomic nuclei.

In the polyspheron theory of nuclear structure,' approximate wave functions for the normal state and some excited states of nuclei are constructed of localized is orbitals occupied by one to four nucleons; a nucleus is described in terms of deuterons, tritons, trelions,2 and helions,3 as well as neutrons and protons not included in these clusters (spherons). In the following paragraphs I point out that many observed magnetic-moment values for the lighter nuclei can be accounted for in a simple and straightforward way by the polyspheron theory. The polyspheron theory is compatible with the shell model,4 and may be considered to be an extension of it. The polyspheron structures described below are in general equivalent to hybrids of two or more shell-model structures, usually (but not always) based on the most stable shell-model configuration. A polyspheron normal-state structure differing from a shell-model structure occurs when the correlation energy of two, three, or four nucleons in a localized is orbital provides greater stabilization energy than the spin-orbit interactions in the more diffuse shell-model orbitals. Triton-Polyhelion Nuclei.-As the first example I discuss 13A1,427, which has spin-parity 5/2+ and magnetic momentAz = +3.6414. The shell-model discussion is straightforward: 14 neutrons give a completed s2p6(d5/2)6 spherically symmetrical structure, and 13 protons a similar structure with a d5/2 proton hole. The value of the magnetic moment ,u = Jg calculated by the vector-model equation' (Schmidt equation')