TY - JOUR AU - Feng, Y. C. AU - Gil, F. AU - Döring, M. AU - Molina, R. AU - Mai, M. AU - Shastry, V. AU - Szczepaniak, A. PY - 2024 DA - 2024// TI - Unitary coupled-channel three-body amplitude with pions and kaons T2 - Phys. Rev. D JO - Physical Review D SP - 094002 EP - 21pp VL - 110 IS - 9 PB - Amer Physical Soc AB - 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. SN - 2470-0010 UR - https://arxiv.org/abs/2407.08721 UR - https://doi.org/10.1103/PhysRevD.110.094002 DO - 10.1103/PhysRevD.110.094002 LA - English N1 - WOS:001350063800004 ID - Feng_etal2024 ER -