Pole determination of $P_{\psi s}^{\Lambda }(4338)$ and possible $P_{\psi s}^{\Lambda }(4255)$ in $B^{-}\to J/\psi \Lambda \bar{p}$

Abstract

First hidden-charm pentaquark candidate with strangeness, $P_{\psi s}^{\Lambda }(4338)$, was recently discovered in $B^{-}\to J/\psi \Lambda \bar{p}$ by the LHCb Collaboration. $P_{\psi s}^{\Lambda }(4338)$ shows up as a bump at the ${\Xi }_c\bar{D}$ threshold in the $J/\psi \Lambda$ invariant mass ($M_{J/\psi \Lambda }$) distribution. The $M_{J/\psi \Lambda }$ distribution also shows a large fluctuation at the ${\Lambda }_c{\bar{D}}_s$ threshold, hinting the existence of a possible $P_{\psi s}^{\Lambda }(4255)$. In this work, we determine the $P_{\psi s}^{\Lambda }(4338)$ and $P_{\psi s}^{\Lambda }(4255)$ pole positions for the first time. For this purpose, we fit a $B^{-}\to J/\psi \Lambda \bar{p}$ model to the $M_{J/\psi \Lambda }$, $M_{J/\psi \bar{p}}$, $M_{\Lambda \bar{p}}$, and $\cos {\theta }_{K^{\ast }}$ distributions from the LHCb simultaneously; ${\chi }^2/\mathrm{ndf}\sim 1.21$. Then we extract $P_{\psi s}^{\Lambda }$ poles from a unitary ${\Xi }_c\bar{D}$-${\Lambda }_c{\bar{D}}_s$ coupled-channel scattering amplitude built in the model. In our default fit, the $P_{\psi s}^{\Lambda }(4338)$ pole is found at $(4338.2\pm 1.4)-(1.9\pm 0.5)i$ MeV while the $P_{\psi s}^{\Lambda }(4255)$ pole at $4254.7\pm 0.4$ MeV. The $P_{\psi s}^{\Lambda }(4338)$ and $P_{\psi s}^{\Lambda }(4255)$ are mostly ${\Xi }_c\bar{D}$ bound and ${\Lambda }_c{\bar{D}}_s$ virtual states, respectively. Through our analysis, the data disfavors a hypothesis of $P_{\psi s}^{\Lambda }(4338)$ as merely a kinematical effect. This pole determination, which is important in its own right, sets a primary basis to study the nature of the $P_{\psi s}^{\Lambda }$ states.

8 pages, 5 figures, 3 tables; (v2) statistical errors of pole values corrected; (v3) efficiency-corrected and background-subtracted data are analyzed; a figure of Dalitz plot distribution added; (v4) published version

References in corpus (28)

• Multiquark Resonances
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Exotics: Heavy Pentaquarks and Tetraquarks
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Threshold cusps and triangle singularities in hadronic reactions
• Evidence of a $J/\psi \Lambda$ structure and observation of excited ${\Xi }^{-}$ states in the ${\Xi }_b^{-}\to J/\psi \Lambda K^{-}$ decay
• Explaining the Many Threshold Structures in the Heavy-Quark Hadron Spectrum
• Establishing the first hidden-charm pentaquark with strangeness
• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
• Systematics of the heavy flavor hadronic molecules
• The $P_{cs}(4459)$ pentaquark from a combined effective field theory and phenomenological perspective
• Molecular nature of $P_{cs}(4459)$ and its heavy quark spin partners
• Can the newly $P_{cs}(4459)$ be a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecular pentaquarks?
• Can discovery of hidden charm strange pentaquark states help determine the spins of $P_c(4440)$ and $P_c(4457)$?
• Analysis of the $P_{cs}(4459)$ as the hidden-charm pentaquark state with QCD sum rules
• Is the existence of a $J/\psi J/\psi$ bound state plausible?
• Magnetic moments and transition magnetic moments of $P_c$ and $P_{cs}$ states
• Attractive $N$-$\varphi$ Interaction and Two-Pion Tail from Lattice QCD near Physical Point
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• Investigation of $P_{cs}(4459{)}^0$ pentaquark via its strong decay to $\Lambda J/\Psi$
• New strange pentaquarks
• Investigation of hidden-charm pentaquarks with strangeness $S=-1$
• The double thresholds distort the lineshapes of the $P_{\psi s}^{\Lambda }(4338{)}^0$ resonance
• Analysis of the hidden-charm pentaquark molecular states with strangeness and without strangeness via the QCD sum rules
• A combined analysis of the $Z_c(3900)$ and the $Z_{cs}(3985)$ exotic states
• The LHCb state $P_{\psi s}^{\Lambda }(4338)$ as a triangle singularity
• The resonances $X(4140)$, $X(4160)$, and $P_{cs}(4459)$ in the decay of ${\Lambda }_b\to J/\psi \Lambda \varphi$
• Production of hidden-charm strange pentaquarks $P_{cs}$ from the $K^{-}p\to J/\psi \Lambda$ reaction

Cited by in corpus (18)

• Exploring the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_s^{\ast }$ and ${\Omega }_c^{(\ast )}{\bar{D}}_s^{\ast }$ molecular states
• Spectrum of the molecular pentaquarks
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions
• Unveiling the Structure of Hidden-Bottom Strange Pentaquarks via Magnetic Moments
• Molecular $P_{\psi }$ pentaquarks from light-meson exchange saturation
• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• Radiative decay and axial-vector decay behaviors of octet pentaquark states
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Hidden charm ${\mathcal{P}}_{cs}(4338{)}^0$ production in baryonic $B^{-}\to J/\psi \Lambda \bar{p}$ decay
• Strong decays of the $P_{cs}(4338)$ and its high isospin cousin via the QCD sum rules
• Five-flavor molecular pentaquarks in the ${\Xi }_b^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{(\prime ,\ast )}{B}^{(\ast )}$ systems
• Low-energy $N\varphi$ scattering from a pole-enhanced triangle diagram
• Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Lambda$ mass spectrum via the QCD sum rules
• Role of the short-range dynamics in simultaneous interpretation of $P_{cs}$ pentaqurks via ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ molecules
• Kaon-induced production of strange hidden-charm molecular pentaquarks $P_{\psi s}^{\Lambda }$ from proton