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Pentaquark states in a diquark-triquark model
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abstract
The diquark-triquark model is used to explain charmonium-pentaquark states, i.e., $P_c(4380)$ and $P_c(4450)$, which were observed recently by the LHCb collaboration. For the first time, we investigate the properties of the color attractive configuration of a triquark and we define a nonlocal light cone distribution amplitude for pentaquark states, where both diquark and triquark are not pointlike, but they have nonzero size. We establish an effective diquark-triquark Hamiltonian based on spin-orbital interaction. According to the Hamiltonian, we show that the minimum mass splitting between $\frac{5}{2}^+$ and $\frac{3}{2}^-$ is around $100$~MeV, which may naturally solve the challenging problem of small mass splitting between $P_c(4450)$ and $P_c(4380)$. This helps to understand the peculiarities of $P_c(4380)$ with a broad decay width whereas $P_c(4450)$ has a narrow decay width. Based on the diquark-triquark model, we predict more pentaquark states, which will hopefully be measured in future experiments.
Forward citations
Cited by 4 Pith papers
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Charting doubly strange hidden-charm pentaquarks: An electromagnetic mapping of spin-$\frac{1}{2}$ and $\frac{3}{2}$ states
LCSR calculations of magnetic, quadrupole and octupole moments for S=-2 hidden-charm pentaquarks yield large current-dependent ranges (-4.25 to 5.74 μ_N) dominated by the charm quark in most diquark configurations.
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Next-to-leading order QCD corrections to electromagnetic production and decay of fully charm tetraquarks
The first NLO QCD corrections to fully charm tetraquark → γγ decay are given, with photon-fusion production cross sections predicted.
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$\lambda$, $\rho$, and $\sigma$ Regge trajectories for the quadruply heavy pentaquark $bb\bar{u}cc$ in the diquark-triquark picture
Regge relations for bbūcc in the diquark-triquark picture give four trajectory series with M∼x^{2/3} or √x behavior plus spin-averaged mass estimates for λ, ρ1, ρ2 and σ excitations.
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Investigation of full heavy $ QQQQ'\bar{Q}$ pentaquark candidates
QCD sum rules predict a pentaquark with three charm quarks, one bottom quark, and an anti-charm quark near 11.38 GeV, and a pentaquark with three bottom quarks, one charm quark, and an anti-bottom quark near 21.0 GeV,...
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