Relativistic interpretation of the nature of the nuclear tensor force

2017/11/29 by Yao Yao Zong, Y. Y. Zong, Bao Yuan Sun
Mathematics · Physics and Astronomy · #Classical mechanics #Exact solutions in general relativity #Fock space #Formalism (music) #Geometry #Lanczos tensor #Lorentz transformation #Mathematical physics #Mathematics #Neutrino Physics Research #Nuclear physics research studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spinor #Symmetric tensor #Tensor (intrinsic definition) #Tensor contraction #Tensor density #Tensor field #Theoretical physics #nucl-th

paper · pdf · doi:10.1088/1674-1137/42/2/024101

published as Chinese Physics C Vol. 42, No. 2 (2018) 024101 · 10 pages, 4 figures, 6 tables, to be published in Chinese Physics C

arxiv created 2017/11/29 · arxiv updated 2017/12/19 · openalex publication_date 2018/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The spin-dependent nature of the nuclear tensor force is studied in detail within the relativistic Hartree-Fock approach. The relativistic formalism for the tensor force is supplemented with an additional Lorentz-invariant tensor formalism in the σ -scalar channel, so as to take into account almost fully the nature of the tensor force brought about by the Fock diagrams in realistic nuclei. Specifically, the tensor sum rules are tested for the spin and pseudo-spin partners with and without nodes, to further understand the nature of the tensor force within the relativistic model. It is shown that the interference between the two components of nucleon spinors causes distinct violations of the tensor sum rules in realistic nuclei, mainly due to the opposite signs on the κ quantities of the upper and lower components, as well as the nodal difference. However, the sum rules can be precisely reproduced if the same radial wave functions are taken for the spin/pseudo-spin partners in addition to neglecting the lower/upper components, revealing clearly the nature of the tensor force.

Citations

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