https://doi.org/10.1140/epja/s10050-023-00924-w
Regular Article - Theoretical Physics
Microscopic shell-model description of the irrotational-flow dynamics
1
Joint Institute for Nuclear Research, Dubna, Russia
2
Institute of Mechanics, Bulgarian Academy of Sciences, Sofia, Bulgaria
Received:
5
October
2022
Accepted:
13
January
2023
Published online:
27
January
2023
The theoretical basis underlying the physics of the Bohr–Mottelson collective model is considered at the algebraic level. It is shown how the irrotational-flow dynamics of Bohr–Mottelson type can be given a microscopic interpretation in the two-component proton–neutron shell-model theory of atomic nuclei within the framework of the proton–neutron symplectic model. Some simple examples that illustrate the theory are presented for the two nuclei 
Cd and Ru, supposed to exhibit such an irrotational-flow dynamics. The ground state quadrupole irrotational-flow collectivity in these two nuclei is well described without the use of an effective charge.
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