[Submitted on 6 Dec 2021] (cross-list from hep-ph)
Pole position of the resonance in a three-body unitary framework
Daniel Sadasivan🇺🇸 · Andrei Alexandru🇺🇸 · Hakan Akdag🇩🇪 · Felipe Amorim🇺🇸 · Ruairí Brett🇺🇸 · Chris Culver🇬🇧 · Michael Döring🇺🇸 · Frank X. Lee🇺🇸 · Maxim Mai🇺🇸
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 meson from the ALEPH experiment by allowing for coupled channels in S- and D-wave. We find it to be .
- Comments:
- 17 pages, 13 figures
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
- arXiv:
- 2112.03355 [pdf]