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Title I=1/2 S-wave and P-wave Kpi scattering and the kappa and K* resonances from lattice QCD
Authors Gumaro Rendon, Luka Leskovec, Stefan Meinel, John Negele, Srijit Paul, Marcus Petschlies, Andrew Pochinsky, Giorgio Silvi, Sergey Syritsyn
JLAB number JLAB-THY-20-3213
LANL number arXiv:2006.14035
Other number DOE/OR/23177-4990
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
 

Journal
Compiled for Physical Review D
Volume 102
Page(s) 114520
Refereed
Publication Abstract: We present a lattice-QCD determination of the elastic isospin-1/2 S-wave and P-wave K? scattering amplitudes as a function of the center-of-mass energy using L\"uscher's method. We perform global fits of K-matrix parametrizations to the finite-volume energy spectra for all irreducible repre- sentations with total momenta up to ?3 2? ; this includes irreps that mix the S - and P -waves. Several L different parametrizations for the energy dependence of the K-matrix are considered. We also deter- mine the positions of the nearest poles in the scattering amplitudes, which correspond to the broad ? resonance in the S-wave and the narrow K?(892) resonance in the P-wave. Our calculations are performed with 2 + 1 dynamical clover fermions for two different pion masses of 317.2(2.2) and 175.9(1.8) MeV. Our preferred S-wave parametrization is based on a conformal map and includes an Adler zero; for the P-wave we use a standard pole parametrization including Blatt-Weisskopf barrier factors. The S-wave ?-resonance pole positions are found to be [0.84(14) ? 0.338(55) i] GeV at the heavier pion mass and [0.662(88) ? 0.368(44) i] GeV at the lighter pion mass. The P -wave K?-resonance pole positions are found to be [0.8951(64) ? 0.00249(21) i] GeV at the heavier pion mass and [0.8719(82) ? 0.0132(11) i] GeV at the lighter pion mass, which corresponds to couplings of gK?K? = 5.02(26) and gK?K? = 5.03(22), respectively.
Experiment Numbers: other
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1103/PhysRevD.102.114520
Accepted Manuscript: PhysRevD.102.114520.pdf
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