Year: 2022
Type: article
Abstract: Masses, widths, and branching ratios of hadronic resonances are quantified by their pole positions and residues with respect to transition amplitudes on the Riemann sheets of the complex energy plane. In this study, we discuss the analytic structure in the physical energy region of three-body scattering amplitudes on such manifolds. As an application, we determine the pole position of the ${a}_{1}(1260)$ meson from the ALEPH experiment by allowing for $\ensuremath{\pi}\ensuremath{\rho}$ coupled channels in $S$ and $D$ waves. We find it to be $\sqrt{{s}_{0}}=(123{2}_{\ensuremath{-}0\ensuremath{-}11}^{+15+9}\ensuremath{-}i26{6}_{\ensuremath{-}22\ensuremath{-}27}^{+0+15})\text{ }\text{ }\mathrm{MeV}$.
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Awards: G1171295838, G1458777210, G1728142190, G1848180026, G1870207251, G2188849882, G222768804, G2263355576, G2423538660, G256797447, G2702141073, G2988778103, INVESTIGATIONS OF THE STURCTURE AND ELECTROMAGNETIC INTERACTIONS OF FEW-BODY SYSTEMS, TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik, ANALYSIS OF HADRONIC AND ELECTROMAGNETIC INTERACTIONS, G4356604013, G5092489136, G5295540288, G5340680269, G5405396603, Resonant Few-Body Systems from the Lattice, G6195246144, G6384674458, G6427981414, G6564173845, G6674091005, NUCLEAR PHYSICS CALCULATIONS FROM QCD AND EFT, G8216640622, INVESTIGATIONS OF THE STURCTURE AND ELECTROMAGNETIC INTERACTIONS OF FEW-BODY SYSTEMS, NUCLEAR PHYSICS CALCULATIONS FROM QCD AND EFT, G89332433
OpenAlex ID: W4200635503