Journal Article

FZJ-2021-00462

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png I = 1 / 2 S -wave and P -wave Kπ scattering and the κ and K* resonances from lattice QCD

Rendon, G. (Corresponding author) ; Leskovec, L. ; Meinel, S. ; Negele, J. ; Paul, S. ; Petschlies, M. ; Pochinsky, A. ; Silvi, G.FZJ* ; Syritsyn, S.

2020
Inst.812068 Melville, NY

This record in other databases:    

Please use a persistent id in citations: http://hdl.handle.net/2128/26872  doi:10.1103/PhysRevD.102.114520

Abstract: We present a lattice-QCD determination of the elastic isospin-$1/2$ $S$-wave and $P$-wave $K{\pi}$ 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 representations with total momenta up to $\sqrt{3}\frac{2{\pi}}{L}$; this includes irreducible representations (irreps) that mix the $S$- and $P$-waves. Several different parametrizations for the energy dependence of the $K$-matrix are considered. We also determine the positions of the nearest poles in the scattering amplitudes, which correspond to the broad ${\kappa}$ 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 ${\kappa}$-resonance pole positions are found to be $[0.86(12){-}0.309(50)i]\text{ }\text{ }\mathrm{GeV}$ at the heavier pion mass and $[0.499(55){-}0.379(66)i]\text{ }\text{ }\mathrm{GeV}$ at the lighter pion mass. The $P$-wave ${K}^{*}$-resonance pole positions are found to be $[0.8951(64){-}0.00250(21)i]\text{ }\text{ }\mathrm{GeV}$ at the heavier pion mass and $[0.8718(82){-}0.0130(11)i]\text{ }\text{ }\mathrm{GeV}$ at the lighter pion mass, which corresponds to couplings of ${g}_{{K}^{*}K{\pi}}=5.02(26)$ and ${g}_{{K}^{*}K{\pi}}=4.99(22)$, respectively.

---

Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)

Appears in the scientific report 2020

---

Database coverage:
; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Web of Science Core Collection

---