Low-energy theorems for nucleon-nucleon scattering at $M_{\pi}=450$ MeV

Autor: Baru, V., Epelbaum, E., Filin, A. A.
Rok vydání: 2016
Předmět:
Zdroj: Phys. Rev. C 94, 014001 (2016)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevC.94.014001
Popis: We apply the low-energy theorems to analyze the recent lattice QCD results for the two-nucleon system at a pion mass of $M_\pi\simeq 450$ MeV obtained by the NPLQCD collaboration. We find that the binding energies of the deuteron and dineutron are inconsistent with the low-energy behavior of the corresponding phase shifts within the quoted uncertainties and vice versa. Using the binding energies of the deuteron and dineutron as input, we employ the low-energy theorems to predict the phase shifts and extract the scattering length and the effective range in the $^3S_1$ and $^1S_0$ channels. Our results for these quantities are consistent with those obtained by the NPLQCD collaboration from effective field theory analyses but are in conflict with their determination based on the effective-range approximation.
Databáze: arXiv