Mass spectra of strange double charm pentaquarks with strangeness $S=-1$

TL;DR

This paper predicts the mass spectra of strange double charm pentaquarks with strangeness S=-1 using QCD sum rules, identifying potential molecular states and highlighting the narrow state at 4.3 GeV for experimental detection.

Contribution

It provides the first systematic QCD sum rule analysis of strange double charm pentaquarks in both molecular and compact structures, predicting their masses and decay properties.

Findings

$J^P=1/2^-, 3/2^-$ pentaquarks are broad states around 4.2-4.6 GeV.

$J^P=5/2^-$ pentaquark is a narrow state at 4.3 GeV.

The $J^P=5/2^-$ state is promising for experimental search.

Abstract

The observation of the $T_{c\bar{s}}(2900)$ indicates the potential existence of strange double charm pentaquarks based on the heavy antidiquark symmetry. We systematically study the mass spectra of strange double charm pentaquarks with strangeness $S=-1$ in both molecular and compact structures for quantum numbers $J^{P}=1/2^{-}$, $3/2^{-}$, $5/2^{-}$. By constructing the interpolating currents, the mass spectra can be extracted from the two-point correlation functions in the framework of QCD sum rule method. In the molecular picture, we find that the $\Xi_c^+D^{\ast +}$, $\Xi_c^{'+}D^{\ast +}$, $\Xi_{c}^{\ast +}D^{\ast +}$, $\Xi_{cc}^{\ast ++}K^{\ast 0}$ and $\Omega_{cc}^{\ast ++}\rho^0$ may form molecular strange double charm pentaquarks. In both pictures, the masses of the $J^P=1/2^-, 3/2^-$ pentaquarks locate within the $4.2-4.6~\mathrm{GeV}$ and $4.2-4.5~\mathrm{GeV}$ regions, respectively. As all of them are above the thresholds of their strong decay channels, they behave as a broad state, making them challenging to be detected in experiment. On the contrary, the mass of the $J^P=5/2^-$ strange double charm pentaquark is located at $4.3~\mathrm{GeV}$ and below its strong decay channel. This makes it as a narrow state and easy to be identified in experiment. The best observed channel is its semi-leptonic decay to double charm baryon. As the result, we strongly suggest experiments to search for $J^P=5/2^-$ strange double charm pentaquarks as a first try.