2017/07/31 by Jens Hoppe, J. Hoppe, C. Drischler +3
Physics and Astronomy · #Atomic and Molecular Physics #Cutoff #Effective field theory #Eigenvalues and eigenvectors #Mathematical physics #Nuclear physics research studies #Nucleon #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Regularization (linguistics) #Statistical physics #Theoretical physics #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevc.96.054002
published as Phys. Rev. C 96, 054002 (2017) · 14 pages, 17 figures, published version
openalex publication_date 2017/11/14 · arxiv created 2017/12/14 · arxiv updated 2017/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We perform a comprehensive Weinberg eigenvalue analysis of a representative set of modern nucleon-nucleon interactions derived within chiral effective field theory. Our set contains local, semilocal, and nonlocal potentials, developed by Gezerlis et al. [Phys. Rev. Lett. 111, 032501 (2013)], Epelbaum et al. [Phys. Rev. Lett. 115, 122301 (2015)] and Entem et al. [Phys. Rev. C 96, 024004 (2017)] as well as Carlsson et al. [Phys. Rev. X 6, 011019 (2016)], respectively. The attractive eigenvalues show a very similar behavior for all investigated interactions, whereas the magnitudes of the repulsive eigenvalues sensitively depend on the details of the regularization scheme of the short- and long-range parts of the interactions. We demonstrate that a direct comparison of numerical cutoff values of different interactions is in general misleading due to the different analytic form of regulators; for example, a cutoff value of R=0.8 fm for the semilocal interactions corresponds to about R=1.2 fm for the local interactions. Our detailed comparison of Weinberg eigenvalues provides various insights into idiosyncrasies of chiral potentials for different orders and partial waves. This shows that Weinberg eigenvalues could be used as a helpful monitoring scheme when constructing new interactions.