Heisenberg uncertainty inequality and breaking of isospin symmetry in atomic nuclei
Year: 2025
Authors: Stringari S.
Autors Affiliation: Univ Trento, Pitaevskii BEC Ctr, CNR INO, Via Sommarive 14, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, Via Sommarive 14, I-38123 Trento, Italy; INFN, Trento Inst Fundamental Phys & Applicat, I-38123 Trento, Italy.
Abstract: The Heisenberg uncertainty inequality is used to derive a rigorous lower bound to the amount of isospin impurities in N = Z atomic nuclei, caused by the violation of isospin symmetry. The bound is fixed by the difference between the neutron and proton radii and the sum of the charge-exchange monopole strengths. It can be used to check the consistency of advanced many-body calculations accounting for the breaking of isospin symmetry. The uncertainty inequality is also employed to derive an upper bound to the isovector dipole moment in terms of the amount of isospin impurities, providing an insightful connection between the violation of parity and isospin symmetries.
Journal/Review: PHYSICAL REVIEW RESEARCH
Volume: 7 (4) Pages from: 43319-1 to: 43319-5
More Information: I am grateful to Gianluca Colo for many insightful comments. Stimulating discussions with Winfried Leidemann, Giuseppina Orlandini, Bira van Kolck, and Fabio Bagarello are also acknowledged. Old collaborations on the Heisenberg inequality with the late friend Lev Pitaevskii as well as old col-laborations on the isospin problem with Enrico Lipparini and the late friend Renzo Leonardi are acknowledged. This work has been supported by the Provincia Autonoma di Trento.KeyWords: Long-range Order; Giant-resonances; Principle; ModelDOI: 10.1103/2qld-w1lm
