Triangular singularity and a possible $\varphi p$ resonance in the ${\Lambda }_c^{+}\to {\pi }^0\varphi p$ decay

Abstract

We study the ${\Lambda }_c^{+}\to {\pi }^0\varphi p$ decay by considering a triangle singularity mechanism. In this mechanism, the ${\Lambda }_c^{+}$ decays into the $K^{\ast }{\Sigma }^{\ast }(1385)$, the ${\Sigma }^{\ast }(1385)$ decays into the ${\pi }^0\Sigma$ (or $\Lambda$), and then the $K^{\ast }\Sigma$ (or $\Lambda$) interact to produce the $\varphi p$ in the final state. This mechanism produces a peak structure around $2020$ MeV. In addition, the possibility that there is a hidden-strange pentaquark-like state is also considered by taking into account the final state interactions of $K^{\ast }\Lambda$, $K^{\ast }\Sigma$, and $\varphi p$. We conclude that it is difficult to search for the hidden-strange analogue of the $P_c$ states in this decay. However, we do expect nontrivial behavior in the $\varphi p$ invariant mass distribution. The predictions can be tested by experiments such as BESIII, LHCb and Belle-II.

7 pages, 3 figures

References in corpus (18)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• A Discussion on Triangle Singularities in the ${\Lambda }_b\to J/\psi K^{-}p$ Reaction
• On the nature of $a_1(1420)$
• Studying the P_c(4450) resonance in J/psi photoproduction off protons
• Data analysis techniques, differential cross sections, and spin density matrix elements for the reaction $\gamma p\to \varphi p$
• The "$a_1(1420)$" peak as the $\pi f_0(980)$ decay mode of the $a_1(1260)$
• $f_1(1285)$ decays into $a_0(980){\pi }^0$, $f_0(980){\pi }^0$ and isospin breaking
• Role of a triangle singularity in the $\gamma p\to K^{+}\Lambda (1405)$ reaction
• The role of the $qqqq\bar{q}$ components in the electromagnetic transition ${\gamma }^{\ast }N\to N^{\ast }(1535)$
• On the nature of the lowest $1/2^{-}$ baryon nonet and decuplet
• The role of the $N^{\ast }(2080)$ resonance in the $\vec{\gamma }p\to K^{+}\Lambda (1520)$ reaction
• Hadronic D decays involving even-parity light mesons
• Revising the $f_1(1420)$ resonance
• A Search for the LHCb Charmed 'Pentaquark' using Photo-Production of $J/\psi$ at Threshold in Hall C at Jefferson Lab
• Where does the X(5568) structure come from?
• $f_2(1810)$ as a triangle singularity
• Search for Hidden-Charm Pentaquark with CLAS12

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• Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom
• The role of triangle singularity in the decay process $D^0\to {\pi }^{+}{\pi }^{-}{f}_0(980),f_0\to {\pi }^{+}{\pi }^{-}$