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Leading order relativistic chiral nucleon-nucleon interaction
- Source :
- Chinese Physics C Vol. 42, No. 1 (2018) 014103
- Publication Year :
- 2016
-
Abstract
- Motivated by the successes of relativistic theories in studies of atomic/molecular and nuclear systems and the need for a relativistic chiral force in relativistic nuclear structure studies, we explore a new relativistic scheme to construct the nucleon-nucleon interaction in the framework of covariant chiral effective field theory. The chiral interaction is formulated up to leading order with covariant power counting and a Lorentz invariant chiral Lagrangian. We find that the relativistic scheme induces all six spin operators needed to describe the nuclear force. A detailed investigation of the partial wave potentials shows a better description of the $^1S_0$ and $^3P_0$ phase shifts than the leading order Weinberg approach, and similar to that of the next-to-leading order Weinberg approach. For the other partial waves with angular momenta $J\geq 1$, the relativistic results are almost the same as their leading order non-relativistic counterparts.<br />Comment: 12 pages, 4 figures; version to appear in Chinese Physics C
- Subjects :
- Nuclear Theory
High Energy Physics - Phenomenology
Subjects
Details
- Database :
- arXiv
- Journal :
- Chinese Physics C Vol. 42, No. 1 (2018) 014103
- Publication Type :
- Report
- Accession number :
- edsarx.1611.08475
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1674-1137/42/1/014103