Amplitude analysis of the $B^+\to D^+D^-K^+$ decay

TL;DR

This paper presents an amplitude analysis of the $B^+ o D^+D^-K^+$ decay using LHCb data, revealing new resonances and measuring their properties to better understand the decay dynamics.

Contribution

It introduces new spin-0 and spin-1 resonances in the $D^-K^+$ channel and a new charmonium resonance near $ ext{~}2.9$ GeV/$c^2$, expanding the understanding of this decay process.

Findings

Identification of new spin-0 and spin-1 resonances around 2.9 GeV/$c^2$

Observation of a new charmonium resonance near 3.93 GeV/$c^2$

Determination of masses, widths, and contributions of various resonances

Abstract

Results are reported from an amplitude analysis of the $B^+\to D^+D^-K^+$ decay. The analysis is carried out using LHCb proton-proton collision data taken at $\sqrt{s}=7,8,$ and $13$ TeV, corresponding to a total integrated luminosity of 9 fb$^{-1}$. In order to obtain a good description of the data, it is found to be necessary to include new spin-0 and spin-1 resonances in the $D^-K^+$ channel with masses around 2.9 GeV$/c^2$, and a new spin-0 charmonium resonance in proximity to the spin-2 $\chi_{c2}(3930)$ state. The masses and widths of these resonances are determined, as are the relative contributions of all components in the amplitude model, which additionally include the vector charmonia $\psi(3770)$, $\psi(4040)$, $\psi(4160)$ and $\psi(4415)$ states and a nonresonant component.