Summary
There is an unambiguous geometrical representation of nuclear « quantum space » which is analogous to the electron orbitals of the hydrogen atom. In both the atom and the nucleus, the position of each fermion relative to the axes of « quantum space » is dependent upon the particle’s eigenvalues. In the nuclear realm, the geometry of eigenstates corresponds precisely with the symmetries of an antiferromagnetic face-centred cubic (FCC) lattice with alternating isospin layers. The correspondence between the eigenstates of the Schrödinger equation and the FCC lattice is demonstrated and the relationship between the spin-orbit model and the FCC model is discussed. The random-phase-approximation (RPA) technique is used to examine the ground and excited states of the FCC lattice.
Riassunto
Si dà una rappresentazione geometrica dello spazio quantico nucleare analoga agli orbitali elettronici nell’atomo di idrogeno. Sia nell’atomo che nel nucleo, la posizione di ciascun fermione relativa agli assi dello spazio quantico dipende dagli autovalori della particella. Nel nucleo, la geometria degli autostati corrisponde alle simmetrie di un reticolo antiferromagnetico FCC con piani alternati di isospin. Si discute la corrispondenza tra gli autostati dell’equazione di Schrödinger e il reticolo FCC e mostrata la relazione tra il modello spin-orbita e il modello FCC. La RPA è usata per esaminare lo stato fondamentale e gli stati eccitati del reticolo FCC.
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Dallacasa, V., Cook, N.D. The FCC nuclear model. Nuov Cim A 97, 157–183 (1987). https://doi.org/10.1007/BF02733846
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DOI: https://doi.org/10.1007/BF02733846