Chromopolarizability of charm-beauty quarkonium from $B_c(2S)\to B_c\pi \pi$ transition

Abstract

The chromopolarizability of a charm-beauty quarkonium characterizes its interaction with soft gluonic fields and can be probed through heavy quarkonium decays. Using the dispersion theory which considers the $\pi \pi$ final state interaction model-independently, we analyze the transition $B_c(2S)\to B_c{\pi }^{+}{\pi }^{-}$ and determine the chromopolarizability ${\alpha }_{B_c(2S)B_c}=(0.66\pm 0.25)$ GeV${}^{-3}$ and the parameter $\kappa =-0.02\pm 0.13$. Our results indicate that the transitional chromopolarizability of the $c\bar{b}$ state lies between the transitional chromopolarizabilities of the $c\bar{c}$ and $b\bar{b}$ states. These findings provide valuable insights into the interactions of charm-beauty quarkonium with light hadrons.

12 pages, 2 figures; version accepted by Communications in Theoretical Physics

References in corpus (16)

• Charmonium
• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• Hadro-Charmonium
• Observation of two excited B${}_{\mathrm{c}}^{+}$ states and measurement of the B${}_{\mathrm{c}}^{+}$(2S) mass in pp collisions at $\sqrt{s}=$ 13 TeV
• Dispersive analysis of the scalar form factor of the nucleon
• Mesons with Beauty and Charm: New Horizons in Spectroscopy
• Observation of an excited $B_c^{+}$ state
• Is the existence of a $J/\psi J/\psi$ bound state plausible?
• $J/\Psi$-nuclear bound states
• Effects of $Z_b$ states and bottom meson loops on ${\rm Y}(4S)\to {\rm Y}(1S,2S){\pi }^{+}{\pi }^{-}$ transitions
• Towards the discovery of novel $B_c$ states: radiative and hadronic transitions
• Spectroscopic survey of higher-lying states of $B_c$ meson family
• Measurement of B${}_{\mathrm{c}}$(2S)${}^{+}$ and B${}_{\mathrm{c}}^{\ast }$(2S)${}^{+}$ cross section ratios in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Chromopolarizabilities of fully-heavy baryons
• Chromopolarizability of charmonium and $\pi \pi$ final state interaction revisited
• M1 Radiative and spin-nonflip $\pi \pi$ transitions of $B_c$ states in the Cornell potential model