2003/11/17 by Norbert Kaiser, N. Kaiser · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Atomic physics #High-pressure geophysics and materials #Isoscalar #Isovector #Nuclear physics research studies #Nucleon #Particle physics #Physics #Pion #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.1103/physrevc.68.054001
published as Phys.Rev. C68 (2003) 054001 · 8 pages, 4figure, published in : Physical Review C68, 054001 (2003)
openalex publication_date 2003/11/17 · arxiv created 2003/12/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using chiral perturbation theory, we calculate the density-dependent spin-orbit coupling generated by the two-pion exchange three-nucleon interaction involving virtual \ensuremathΔ-isobar excitation. From the corresponding three-loop Hartree and Fock diagrams we obtain an isoscalar spin-orbit strength Fso(kf) which amounts at nuclear matter saturation density to about half of the empirical value of 90\phantom\rule0.3em0exMeV\phantom\rule0.3em0exfm5. The associated isovector spin-orbit strength Gso(kf) comes out to be about a factor of 20 smaller. Interestingly, this three-body spin-orbit coupling is not a relativistic effect but independent of the nucleon mass M. Furthermore, we calculate the three-body spin-orbit coupling generated by two-pion exchange on the basis of the most general chiral \ensuremathπ\ensuremathπNN-contact interaction. We find similar (numerical) results for the isoscalar and isovector spin-orbit strengths Fso(kf) and Gso(kf) with a strong dominance of the p-wave part of the \ensuremathπ\ensuremathπNN-contact interaction and the Hartree contribution.