A coupled-channel system with anomalous thresholds and unitarity

Abstract

We consider the isospin one-half example system, with $D\pi ,D\eta ,D_s\bar{K},D^{\ast }\pi ,D^{\ast }\eta ,D^{\ast }\bar{K}$ coupled channels in the $J^P=1^{-}$ partial wave, chosen such that various phenomena that come with the opening of an anomalous threshold can be illustrated in a step-wise procedure by a suitable variation of up, down and strange quark masses. We use a set of LEC in the chiral Lagrangian that were adjusted to a large set of Lattice QCD results. The six phase shifts and inelasticity parameters are presented for various choices of the pion mass. For a pion mass of 150 MeV there are no anomalous thresholds encountered. The small change from 150 MeV to 145 MeV pion mass causes a dramatic impact of the anomalous threshold on the phase shifts.

11 pages, 4 figures

References in corpus (8)

• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Coupled-Channel $D\pi$, $D\eta$ and $D_s\bar{K}$ Scattering from Lattice QCD
• Radiative and isospin-violating decays of Ds mesons in the hadrogenesis conjecture
• $DK$ $I=0,$ $D\bar{K}$ $I=0,1$ scattering and the $D_{s0}^{\ast }(2317)$ from lattice QCD
• Isospin-1/2 $D\pi$ scattering and the lightest $D_0^{\ast }$ resonance from lattice QCD
• On causality, unitarity and perturbative expansions
• Coupled-channel dynamics with chiral long-range forces in the open-charm sector of QCD
• Axial-vector $D_1$ hadrons in $D^{\ast }\pi$ scattering from QCD

Cited by in corpus (2)

• Low-energy constants in the chiral Lagrangian with baryon octet and decuplet fields from Lattice QCD data on CLS ensembles
• Effects of Final State Interactions on Landau Singularities