Open AccessThe nuclei 12C, 16O and the role of the Pauli Exclusion Principle
Author(s) -
Peter O. Hess,
M. Berriel-Aguayo,
L. J. Chávez-Nuñez
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1308/1/012011
Subject(s) - pauli exclusion principle , physics , tetrahedron , energy spectrum , ground state , energy (signal processing) , atomic physics , crystallography , quantum mechanics , chemistry
We investigate the role of the Pauli Exclusion Principle (PEP) for light nuclei, at the examples of 12 C and 16 O. We show that ignoring the PEP does lead not only to a too dense spectrum at low energy but also to a wrong grouping into bands. Using a geometrical mapping, a triangular structure for 12 C and a tetrahedral structure in 16 O in the ground state is obtained by using the indistinguishably of the α-particles.