K-pi interaction in finite volume and the K* resonance

Abstract

We evaluate energy levels of the K-pi system in the K* channel in finite volume using chiral unitary theory. We use these energy levels to obtain K-pi phase shifts, and then obtain the K* mass and its decay width. We investigate their dependence on the pion mass and compare this with Lattice QCD calculations. We also compare our method with the standard Luscher approach, and solve the inverse problem to obtain the K-pi phase shifts from these "synthetic" lattice data.

arXiv comment12 pages, 15 figures, accepted by prd

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• Chiral study of the $a_0(980)$ resonance and $\pi \eta$ scattering phase shifts in light of a recent lattice simulation
• $I=1/2$ $S$-wave and $P$-wave $K\pi$ scattering and the $\kappa$ and $K^{\ast }$ resonances from lattice QCD
• Substrate-induced Majorana renormalization in topological nanowires