Isospin eigenstates of the color singlet-singlet type pentaquark states

Abstract

In this article, we construct the color singlet-singlet type five-quark currents with the isospins $(I,I_3)=(\frac{1}{2},\frac{1}{2})$ and $(\frac{3}{2},\frac{1}{2})$ unambiguously to explore the $\bar{D}{\Sigma }_c$, $\bar{D}{\Sigma }_c^{\ast }$, ${\bar{D}}^{\ast }{\Sigma }_c$ and ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ pentaquark states via the QCD sum rules for the first time, where the $\bar{D}$, ${\Sigma }_c$, $\cdots$ represent the color-singlet clusters having the same quantum numbers as the corresponding physical mesons or baryons. The numerical results support assigning the $P_c(4312)$, $P_c(4380)$, $P_c(4440)$ and $P_c(4457)$ as the $\bar{D}{\Sigma }_c$, $\bar{D}{\Sigma }_c^{\ast }$, ${\bar{D}}^{\ast }{\Sigma }_c$ and ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ pentaquark states with the isospin $I=\frac{1}{2}$, respectively. The corresponding $\bar{D}{\Sigma }_c$, $\bar{D}{\Sigma }_c^{\ast }$, ${\bar{D}}^{\ast }{\Sigma }_c$ and ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ pentaquark states with the isospin $I=\frac{3}{2}$ have slightly larger masses, the observations of the higher pentaquark candidates in the $J/\psi \Delta$ invariant mass spectrum would shed light on the nature of the $P_c$ states, and make contributions in distinguishing the scenarios of color antitriplet-antitriplet-antitriplet type and color singlet-singlet type pentaquark states.

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Cited by in corpus (13)

• Analysis of the $P_{cs}(4338)$ and related pentaquark molecular states via the QCD sum rules
• The singly-charmed pentaquark molecular states via the QCD sum rules
• Study of isospin eigenstates of the pentaquark molecular states with strangeness
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Doubly-Charm and Doubly-Bottom Pentaquark molecular States via the QCD sum rules
• Analysis of the strong vertices of ${\Sigma }_c\Delta D^{\ast }$ and ${\Sigma }_b\Delta B^{\ast }$ in QCD sum rules
• The ground states and first radial excitations of the vector tetraquark states with explicit P-waves via the QCD sum rules
• Mass spectrum of the hidden-charm hybrid states via the QCD sum rules
• Strong decays of $P_{\psi }^N(4440{)}^{+}$ and $P_{\psi }^N(4457{)}^{+}$ within the Bethe-Salpeter framework
• Strong decays of the $P_{cs}(4338)$ and its high isospin cousin via the QCD sum rules
• Strong decays of the $P_c(4312)$ and its isospin cousin via the QCD sum rules
• Analysis of the hidden-charm pentaquark candidates in the $J/\psi p$ mass spectrum with QCD sum rules
• Analysis of the $X(4475/4710)$, $X(4500/4700)$, $Z_c(4600)$, $Z_{\bar{c}\bar{s}}(4600)$ and related tetraquark states with the QCD sum rules