Searching for observable effects induced by anomalous triangle singularities

Abstract

We investigate the anomalous triangle singularity (ATS) and its possible manifestations in various processes. We show that the ATS should have important impact on our understanding of the nature of some newly observed threshold states. Discussions on how to distinguish the ATS phenomena from genuine dynamic pole structures are presented.

13 pages, 5 figures, 1 table, version to appear in Phys. Lett. B

References in corpus (4)

• Big-Bang Nucleosynthesis
• Could the near-threshold $XYZ$ states be simply kinematic effects?
• On the nature of $a_1(1420)$
• Dispersion representations and anomalous singularities of the triangle diagram

Cited by in corpus (87)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Threshold cusps and triangle singularities in hadronic reactions
• How to reveal the exotic nature of the P_c(4450)
• A Discussion on Triangle Singularities in the ${\Lambda }_b\to J/\psi K^{-}p$ Reaction
• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• Remarks on the $P_c$ structures and triangle singularities
• Light isovector resonances in ${\pi }^{-}p\to {\pi }^{-}{\pi }^{-}{\pi }^{+}p$ at 190 GeV/$c$
• The "$a_1(1420)$" peak as the $\pi f_0(980)$ decay mode of the $a_1(1260)$
• Spectroscopy of the hidden-charm $[qc][\bar{q}\bar{c}]$ and $[sc][\bar{s}\bar{c}]$ tetraquarks
• Role of a triangle singularity in the $\gamma p\to K^{+}\Lambda (1405)$ reaction
• Triangle singularities in $B^{-}\to K^{-}{\pi }^{-}{D}_{s0}^{+}$ and $B^{-}\to K^{-}{\pi }^{-}{D}_{s1}^{+}$
• Threshold corrections of ${\chi }_{\mathrm{c}}(2P)$ and ${\chi }_{\mathrm{b}}(3P)$ states and $J/\psi \rho$ and $J/\psi \omega$ transitions of the $X(3872)$ in a coupled-channel model
• What is the $i\epsilon$ for the S-matrix?
• $Z_c(3900)$ as a $D{\bar{D}}^{\ast }$ molecule from the pole counting rule
• Revising the $f_1(1420)$ resonance
• Triangle singularity in the $J/\psi \to K^{+}{K}^{-}{f}_0(980)(a_0(980))$ decays
• Triangular singularity and a possible $\varphi p$ resonance in the ${\Lambda }_c^{+}\to {\pi }^0\varphi p$ decay
• How to understand the underlying structures of $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$
• Exploring possible triangle singularities in the ${\Xi }_b^{-}\to K^{-}J/\psi \Lambda$ decay
• Internal particle width effects on the the triangle singularity mechanism in the study of the $\eta (1405)$ and $\eta (1475)$ puzzle
• The magnetic moment of $P_c(4312)$ as a $\bar{D}{\Sigma }_c$ molecular state
• Triangle singularity mechanism for the $pp\to {\pi }^{+}d$ fusion reaction
• Visible narrow cusp structure in ${\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+}$ enhanced by triangle singularity
• Triangle Singularity in the Production of $T_{cc}^{+}$(3875) and a Soft Pion
• Understanding the nature of the heavy pentaquarks and searching for them in pion-induced reactions
• Review of the low-lying excited baryons ${\Sigma }^{\ast }(1/2^{-})$
• Considerations on the Schmid theorem for triangle singularities
• Selected strong decays of pentaquark State $P_c(4312)$ in a chiral constituent quark model
• Role of a triangle singularity in the $\pi N(1535)$ contribution to $\gamma p\to p{\pi }^0\eta$
• Abnormal isospin violation and $a_0-f_0$ mixing in the $D_s^{+}\to {\pi }^{+}{\pi }^0{a}_0(980)(f_0(980))$ reactions
• Triangle singularities in $B^{-}\to D^{\ast 0}{\pi }^{-}{\pi }^0\eta$ and $B^{-}\to D^{\ast 0}{\pi }^{-}{\pi }^{+}{\pi }^{-}$
• Role of a triangle singularity in the $\pi \Delta$ decay of the $N(1700)(3/2^{-})$
• Anomalous enhancement of the isospin-violating $\Lambda (1405)$ production by a triangle singularity in ${\Lambda }_c\to {\pi }^{+}{\pi }^0{\pi }^0{\Sigma }^0$
• Triangle singularity in the $B^{-}\to K^{-}{\pi }^{0}X(3872)$ reaction and sensitivity to the $X(3872)$ mass
• The strong decay patterns of $Z_c$ and $Z_b$ states in the relativized quark model
• Triangle singularity in ${\tau }^{-}\to {\nu }_{\tau }{\pi }^{-}{f}_0(980)$ ($a_0(980)$) decays
• Charm-meson Triangle Singularity in $e^{+}{e}^{-}$ Annihilation into $D^{\ast 0}{\bar{D}}^0+\gamma$
• Triangle Singularity in the Production of $X(3872)$ and a Photon in $e^{+}{e}^{-}$ Annihilation
• Triangle singularity in $B^{-}\to K^{-}X(3872);X\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and the X(3872) mass
• Where does the X(5568) structure come from?
• $f_2(1810)$ as a triangle singularity
• Production of $X(3872)$ Accompanied by a Pion in $B$ Meson Decay
• Generating a resonance-like structure in the reaction $B_c\to B_s\pi \pi$
• The role of the triangle singularity in $\Lambda (1405)$ production in the ${\pi }^{-}p\to K^0\pi \Sigma$ and $pp\to p{K}^{+}\pi \Sigma$ processes
• Tetraquarks in holographic QCD
• Test of the multiquark structure of $a_1(1420)$ in strong two-body decays
• ${\eta }_{\mathrm{c}}$- and $J/\psi$-isoscalar meson bound states in the hadro-charmonium picture
• Triangle mechanisms in the build up and decay of the $N^{\ast }(1875)$
• Possibility of $T_{c\bar{s}}(2900)$ as the resonance-like structure induced by threshold effects
• Threshold effects as the origin of $Z_{cs}(4000)$, $Z_{cs}(4220)$ and $X(4700)$ observed in $B^{+}\to J/\psi \varphi K^{+}$
• Triangle singularity appearing as an $X(3872)$-like peak in $B\to (J/\psi {\pi }^{+}{\pi }^{-})K\pi$
• Searching for charmoniumlike states with hidden $s\bar{s}$
• Revisiting the pseudoscalar meson and glueball mixing and key issues in the search for pseudscalar glueball state
• Disentangling the role of the $Y(4260)$ in $e^{+}{e}^{-}\to D^{\ast }{\bar{D}}^{\ast }$ and $D_s^{\ast }{\bar{D}}_s^{\ast }$ via line shape studies
• $a_1(1260),a_1(1420)$ and the production in heavy meson decays
• Comprehensive study of light axial vector mesons with the presence of triangle singularity
• The impact of $S$-wave thresholds $D_{s1}{\bar{D}}_s+c.c.$ and $D_{s0}{\bar{D}}_s^{\ast }+c.c.$ on vector charmonium spectrum
• Decay $X(3872)\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and $S$-wave $D^0{\bar{D}}^0\to {\pi }^{+}{\pi }^{-}$ scattering length
• Production of $X(3872)$ and a Photon in $e^{+}{e}^{-}$ Annihilation
• Search for $\psi (3686)\to \gamma {\eta }_c(\eta (1405))\to \gamma {\pi }^{+}{\pi }^{-}{\pi }^0$
• Investigations on the light hadron decays of $Z_b(10610)$ and $Z_b(10650)$
• The vertex corrections due to the triangle singularity mechanism in the light axial vector meson couplings to $K^{\ast }\bar{K}+c.c.$
• The new $a_1(1420)$ state: structure, mass and width
• Radially excited axial mesons and the enigmatic $Z_c$ and $Z_b$ in a coupled-channel model
• Charged charmoniumlike structures in the $e^{+}{e}^{-}\to \psi (3686){\pi }^{+}{\pi }^{-}$ process based on the ISPE mechanism
• Triangle singularity in $B^0\to {\pi }^{-}{K}^{+}X(3872)$ via the $D_{s1}\bar{D}{D}^{\ast }$ loop and possible precise measurement of the $X(3872)$ mass
• The $\pi f_0(500)$ decay of the $a_1(1260)$
• Higher strangeonium decays into light flavor baryon pairs like $\Lambda \bar{\Lambda }$, $\Sigma \bar{\Sigma }$, and $\Xi \bar{\Xi }$
• Detecting the pure triangle sigularity effect through the $\psi (2S)\to p\bar{p}\eta /p\bar{p}{\pi }^0$ process
• Universal non-resonant explanation to charmoniumlike structures $Z_c(3885)$ and $Z_c(4025)$
• On coupled-channel dynamics in the presence of anomalous thresholds
• The role of triangle singularity in isospin breaking process $J/\psi \to \Lambda \bar{\Lambda }\pi$ and the possible evidence of ${\Sigma }^{\ast }({\frac{1}{2}}^{-})$ states
• Charmoniumlike Channels $1^{+}$ with Isospin $1$ from Lattice and Effective Field Theory
• On the precise measurement of the $X(3872)$ mass and its counting rate
• $\Lambda (1405)$ mediated triangle singularity in the $K^{-}d\to p{\Sigma }^{-}$ reaction
• Peaks and cusps: anomalous thresholds and LHC physics
• Interaction of exotic states in a hadronic medium: the $Z_c(3900)$ case
• The role of triangle singularity in the decay process $D^0\to {\pi }^{+}{\pi }^{-}{f}_0(980),f_0\to {\pi }^{+}{\pi }^{-}$
• Photon-induced production of the exotic charged charmonium-like state $Z_c(3900)$ off nuclear targets and its internal structure
• Investigation of the $X(4020)$ peak in the $D^{\ast }{\bar{D}}^{\ast }$ and $\pi h_c$ channels
• Analytic Properties of Triangle Feynman Diagrams in Quantum Field Theory
• Charting the new physics through one-loop effects in the muon magnetic dipole moment
• Proposal to detect a moving triangle singularity in $\psi (2S)\to {\pi }^{+}{\pi }^{-}{K}^{+}{K}^{-}$ process
• Triangle diagram in heavy-baryon chiral perturbation theory
• Box Singularity Conditions in Box Diagrams of Decay Processes