Decay and production properties of strange double charm pentaquark

TL;DR

Addressing the existence and properties of the strange double-charm pentaquark $P_{ccs}^{++}$ with $S=-1$, the paper uses three-point QCD sum rules to compute its strong decay couplings to $\Ξ_{cc}\bar{K}$ and $Ω_{cc}\pi$, predicting a total width around $Γ_{P_{ccs}^{++}}\approx84.6$ MeV. It analyzes production via a rescattering mechanism in $Ξ_{bc}^+$ decays, estimating $\mathcal{B}r(Ξ_{bc}^+\to D^-P_{ccs}^{++})\approx4.3\times10^{-6}$ and, when folded with the $P_{ccs}^{++}$ decay, a chain-branched rate around $3.3\times10^{-6}$. The results point to a relatively narrow resonance with detectable production rates, potentially accessible to LHCb and future facilities with large $Ξ_{bc}^+$ yields.

Abstract

In this work we investigate the decay and production properties of the strange double-charm pentaquark $P_{ccs}^{++}$ with strangeness $S=-1$. Building upon our previous work predicting its $J^P=1/2^-$ molecular configuration, we employ three-point QCD sum rules to calculate its strong decay widths and estimate its production branching ratios via $Ξ_{bc}^+$ baryon decays. The total strong decay width into the $Ξ_{cc}\bar{K}$ and $Ω_{cc}π$ final-state channels is determined as $84.58^{+19.25}_{-18.80}$ MeV. Furthermore, using a rescattering mechanism, we analyze the $Ξ_{bc}^+\rightarrow D_s^{\ast-}Ξ_{cc}^{++}\rightarrow D^-P_{ccs}^{++}$ process and estimate the production branching ratio to be $\mathcal{B}r(Ξ_{bc}^+\rightarrow D^-P_{ccs}^{++})=(4.32_{-1.47}^{+2.02})\times10^{-6}$. The relatively narrow width and detectable branching ratio suggest that this pentaquark state could be observed in experiments such as LHCb.

Figures (3)

• Figure 1: The production of the strange double-charm pentaquark at the quark level (left) and hadronic level (right).
• Figure 2: The dependence of the strong coupling $g_{P_{ccs}\Xi_{cc}\bar{K}}$ on the Borel mass $M_B^2$ (left panel) and transfer momentum $Q^2$ (right panel). On the left panel, the transfer momentum is set to be $Q^2=m_{\Xi_{cc}}^2\sim 13.1\;\mathrm{GeV}^2$. On the right panel, the red dots denote the value from Eq. \ref{['Eq:StrongCoupling1']} with $s_0=22.3\;\mathrm{GeV}^2$ and $M_B^2=1.77\;\mathrm{GeV}^2$. The blue solid line is the exponential fitting curve. The two dashed blue lines denote the upper and lower boundary of the uncertainty from various condensates, quark masses and hadronic parameters.
• Figure 3: The dependence of the strong coupling $g_{P_{ccs}\Omega_{cc}\pi}$ on the Borel mass $M_B^2$ (left panel) and transfer momentum $Q^2$ (right panel ). On the left panel, the transfer momentum is set to be $Q^2=m_{\Omega_{cc}}^2\sim 13.8\;\mathrm{GeV}^2$. On the right panel, the red dots denote the value from Eq. \ref{['Eq:StrongCoupling2']} with $s_0=22.3\;\mathrm{GeV}^2$ and $M_B^2=1.74\;\mathrm{GeV}^2$. The blue solid line is the exponential fitting curve. The two dashed blue lines denote the upper and lower boundary of the uncertainty from various condensates, quark masses and hadronic parameters.