https://doi.org/10.1140/epja/s10050-022-00850-3
Regular Article - Theoretical Physics
Magnetic dipole moments as a strong signature for 
-clustering in even-even self-conjugate nuclei
1
Helmholtz Institut für Strahlen- und Kernphysik, Universität Bonn, Nußallee 14-16, 53115, Bonn, Germany
2
Bethe Center for Theoretical Physics, Universität Bonn, Nußallee 12, 53115, Bonn, Germany
3
ESNT, IRFU, CEA, Université Paris-Saclay, 91191, Gif-sur-Yvette, France
4
Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, 52425, Jülich, Germany
5
Ivane Javakhishvili Tbilisi State University, 0186, Tbilisi, Georgia
a stellin@hiskp.uni-bonn.de, gianluca.stellin@cea.fr
Received:
31
May
2022
Accepted:
7
October
2022
Published online:
29
October
2022
We investigate the magnetic dipole moments in even-even self-conjugate nuclei from 
C to 
Cr. For these nuclei, the measured gyromagnetic factors of excited states turn out to assume the same value of 
within statistical errors. This peculiar feature can be interpreted on the basis of collective excitations of -clusters. Analogously, the behaviour of the same observable is studied for all isotopes obtained by adding one or two neutrons to the considered self-conjugate nuclei. It is found that for the 
isotopes the -cluster structure hardly contributes to the observed negative g- factor value, corroborating molecular -cluster models. The addition of a further neutron, however, restores the original -cluster g-factors, except for the semi-magic isotopes, in which the deviations from can be associated with the relevant shell closures. Secondly, we analyze the same observable in the framework of a macroscopic -cluster model on a finite lattice of side length L. We focus on the discretization effects induced in the magnetic dipole moments of the 
and the 
states of C at different values of the lattice spacing a.
© The Author(s) 2022
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