2021/06/24 by Bo Dai, B. Dai, B. S. Hu +7 · 5 citations
Physics and Astronomy · #Angular momentum #Atomic physics #Geometry #Hamiltonian (control theory) #Isospin #Mathematical physics #Neutrino Physics Research #Nuclear physics research studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #SHELL model #Shell (structure) #Tensor (intrinsic definition) #Wave function #nucl-ex #nucl-th
paper · pdf · doi:10.1103/physrevc.103.064327
published in Physical Review C 103(6) (American Institute of Physics) · 8 Pages,7 Figures
openalex publication_date 2021/06/24 · openalex created_date 2021/07/05 · arxiv created 2021/09/06 · arxiv updated 2021/09/15 · openalex updated_date 2026/08/05
Background: The half-life of the famous 14C\ensuremathβ decay is anomalously long, with different mechanisms: the tensor force, cross-shell mixing, and three-body forces, proposed to explain the cancellations that lead to a small transition matrix element.Purpose: We revisit and analyze the role of the tensor force for the \ensuremathβ decay of 14C as well as of neighboring isotopes.Methods: We add a tensor force to the Gogny interaction, and derive an effective Hamiltonian for shell-model calculations. The calculations were carried out in a p\text\ensuremath-sd model space to investigate cross-shell effects. Furthermore, we decompose the wave functions according to the total orbital angular momentum L in order to analyze the effects of the tensor force and cross-shell mixing.Results: The inclusion of the tensor force significantly improves the shell-model calculations of the \ensuremathβ-decay properties of carbon isotopes. In particular, the anomalously slow \ensuremathβ decay of 14C can be explained by the isospin T=0 part of the tensor force, which changes the components of 14N with the orbital angular momentum L=0,1, and results in a dramatic suppression of the Gamow-Teller transition strength. At the same time, the description of other nearby \ensuremathβ decays are improved.Conclusions: Decomposition of wave function into L components illuminates how the tensor force modifies nuclear wave functions, in particular suppression of \ensuremathβ-decay matrix elements. Cross-shell mixing also has a visible impact on the \ensuremathβ-decay strength. Inclusion of the tensor force does not seem to significantly change, however, binding energies of the nuclei within the phenomenological interaction.