Abstract
Partial wave analysis is an important tool for analyzing large data sets in hadronic decays of light and heavy mesons. It commonly relies on the isobar model, which assumes multihadron final states originate from successive two-body decays of well-known undisturbed intermediate states. Recently, analyses of heavy-meson decays and diffractively produced states have attempted to overcome the strong model dependences of the isobar model. These analyses have overlooked that model-independent, or freed-isobar, partial-wave analysis can break the orthogonality of partial waves and introduce mathematical ambiguities into results. We show how these ambiguities arise and present general techniques for identifying their presence and for correcting for them. We demonstrate these techniques with specific examples in both heavy-meson decay and pion--proton scattering.
Highlights
In hadron spectroscopy, physicists precisely determine the masses, widths, and other parameters of light mesons and search for new mesonic states, often in very faint signals [1]
It commonly relies on the isobar model, which assumes multihadron final states originate from successive two-body decays of well-known undisturbed intermediate states
There is only one decaying state—the heavy meson itself. Both light- and heavy-meson spectroscopy commonly use partial-wave analysis (PWA)— often referred to as Dalitz-plot analysis—which expands the amplitude for the production of the final state into a sum of contributions from partial waves: one for each possible combination of quantum numbers for all states
Summary
Physicists precisely determine the masses, widths, and other parameters of light mesons and search for new mesonic states, often in very faint signals [1]. There is only one decaying state—the heavy meson itself Both light- and heavy-meson spectroscopy commonly use partial-wave analysis (PWA)— often referred to as Dalitz-plot analysis—which expands the amplitude for the production of the final state into a sum of contributions from partial waves: one for each possible combination of quantum numbers for all states. Dynamic amplitude models often ignore the strong interactions that can occur between resonances and other particles in the decay. These assumptions lead to problems increasingly present in the analyses of the large data sets provided by current and recent experiments. IV, we present several ways to resolve these ambiguities in both heavy-meson and scattering contexts
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