Unquenched Radially Excited $P$-wave Charmonia

TL;DR

This paper investigates the properties of radially excited P-wave charmonia, including decay effects, using the Resonance-Spectrum Expansion and a generalized ${}^{3}P_0$ decay model.

Contribution

It presents the first results for radial excitations of P-wave charmonia incorporating all relevant decay channels with a novel coupling constant scheme.

Findings

Preliminary results for excited P-wave charmonia spectra.

Inclusion of all OZI-allowed decay channels in the analysis.

Use of a generalized ${}^{3}P_0$ decay model to avoid spectral distortion.

Abstract

The ground-state positive-parity charmonia $\chi_{c0}(1P)$, $\chi_{c1}(1P)$, $h_c(1P)$, and $\chi_{c2}(1P)$ are generally well described in static (``quenched'') quark models, in which dynamical effects of actual or virtual strong decay are neglected. In contrast, the five PDG candidates for $P$-wave charmonia in the energy region 3.85-3.95 GeV, probably including the first radial excitations of the above ones, display a totally different and quite disparate mass pattern. Moreover, two scalar states are listed, viz. $\chi_{c0}(3860)$ and $\chi_{c0}(3915)$, the former one apparently being very broad. Preliminary results will be presented here for the first radial excitations of the lowest $P$-wave $c\bar{c}$ states, obtained with the Resonance-Spectrum Expansion while including in the calculation all OZI-allowed decay channels of the most relevant charm-meson pairs. Employing a generalised scheme of computing coupling constants for decays based on the ${}^{3\!}P_0$ model ensures that no distortion of the spectra will occur due to the different classes of allowed decay channels for the various positive-parity charmonia.