2017/12/31 by J. M. Dong, Y. H. Zhang, W. Zuo +5 · 14 citations
Physics and Astronomy · #Anomaly (physics) #Astronomical and nuclear sciences #Charge (physics) #Coulomb #Isospin #Mass formula #Mathematical physics #Multiplet #Nuclear force #Nuclear physics research studies #Nucleon #Particle physics #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Tensor (intrinsic definition) #nucl-th
paper · pdf · doi:10.1103/physrevc.97.021301
published in Physical Review C 97(2) (American Institute of Physics) · 7 pages, 3 figures; to be published in Phys. Rev. C
arxiv created 2018/02/02 · openalex publication_date 2018/02/07 · arxiv updated 2018/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Wigner isobaric multiplet mass equation (IMME) is the most fundamental prediction in nuclear physics with the concept of isospin. However, it was deduced based on the Wigner-Eckart theorem with the assumption that all charge-violating interactions can be written as tensors of rank two. In the present work, the charge-symmetry breaking (CSB) and charge-independent breaking (CIB) components of the nucleon-nucleon force, which contribute to the effective interaction in nuclear medium, are established in the framework of Brueckner theory with AV18 and AV14 bare interactions. Because such charge-violating components can no longer be expressed as an irreducible tensor due to density dependence, its matrix element cannot be analytically reduced by the Wigner-Eckart theorem. With an alternative approach, we derive a generalized IMME (GIMME) that modifies the coefficients of the original IMME. As the first application of GIMME, we study the long-standing question of the origin of the Nolen-Schiffer anomaly (NSA) found in the Coulomb displacement energy of mirror nuclei. We find that the naturally emerged CSB term in GIMME is largely responsible for explaining the NSA.