%0 Journal Article %T Unitary coupled-channel three-body amplitude with pions and kaons %A Feng, Y. C. %A Gil, F. %A Döring, M. %A Molina, R. %A Mai, M. %A Shastry, V. %A Szczepaniak, A. %J Physical Review D %D 2024 %V 110 %N 9 %I Amer Physical Soc %@ 2470-0010 %G English %F Feng_etal2024 %O WOS:001350063800004 %O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=6332), last updated on Tue, 19 Nov 2024 07:41:43 +0000 %X Three-body dynamics above threshold is required for the reliable extraction of many amplitudes and resonances from experiment and lattice QCD. The S-matrix principle of unitarity can be used to construct dynamical coupled-channel approaches in which three particles scatter off each other, rearranging two-body subsystems by particle exchange. This paper reports the development of a three-body coupled-channel, amplitude including pions and kaons. The unequal-mass amplitude contains two-body S- and P-wave subsystems ("isobars") of all isospins, I = 0, 1/2, 1,3/2, 2, and it also allows for transitions within a given isobar. The f 0 ( 500 )( 6 ) ,f 0 ( 980 ) , p ( 700 ) ,K * 0 ( 700 )( K ) , and K * ( 892 ) resonances are included, apart from repulsive isobars. Different methods to evaluate the amplitude for physical momenta are discussed. Production amplitudes for a 1 quantum numbers are shown as a proof of principle for the numerical implementation. %R 10.1103/PhysRevD.110.094002 %U https://arxiv.org/abs/2407.08721 %U https://doi.org/10.1103/PhysRevD.110.094002 %P 094002-21pp