Low-energy $N\varphi$ scattering from a pole-enhanced triangle diagram

Abstract

We investigate low-energy $N\varphi$ scattering driven by a pole-enhanced triangle-like diagram, in which the two-Kaon-exchange contribution is promoted by the near-threshold $\Lambda (1405)$ pole in the $N\bar{K}$ subsystem. Using an unphysical Kaon mass motivated by lattice simulations, we evaluate the $N\varphi$ scattering length and find that this mechanism generates an attractive interaction with a magnitude of $-1.1$ to $-0.5\mathrm{fm}$. Spin-dependent effects are not treated explicitly and are expected to provide subleading corrections in the near-threshold region. We further analyze the low-energy behavior of the triangle-like diagram amplitude and show that the scattering length depends on the parameter $\delta$, defined as the mass difference between the $K\bar{K}$ threshold and the $\varphi$ meson, and the pole position of $\Lambda (1405)$, where the $\Lambda (1405)$ plays a crucial role to understand $N\varphi$ interaction. Furthermore, by employing physical hadron masses, our calculated scattering length is found to be consistent with current experimental data, providing a unified description across both unphysical and physical mass regimes. This type of interaction differs from that associated with van der Waals-type forces or the long-range tail of two-pion exchange, highlighting the role of three-body dynamics encoded in the pole-enhanced triangle-like diagram in shaping the near-threshold $N\varphi$ interaction.

arXiv comment11 pages, 9 figures

References in corpus (69)

• Low lying axial-vector mesons as dynamically generated resonances
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• A survey of heavy-heavy hadronic molecules
• Meson-baryon reactions with strangeness -1 within a chiral framework
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• A QCD Calculation of the Interaction of Quarkonium with Nuclei
• $N\Omega$ dibaryon from lattice QCD near the physical point
• Explaining the Many Threshold Structures in the Heavy-Quark Hadron Spectrum
• Establishing the first hidden-charm pentaquark with strangeness
• J/psi and eta_c in the nuclear medium: QCD sum rule approach
• Experimental evidence for an attractive p-$\varphi$ interaction
• Three-body calculation of the Delta-Delta dibaryon candidate D(03) at 2.37 GeV
• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
• Three-body model calculations of Nucleon-Delta and Delta-Delta dibaryon resonances
• Interpretation of the LHCb Pc(4312) Signal
• Spin-2 $N\Omega$ Dibaryon from Lattice QCD
• $T_{cc}^{+}$ decays: Differential spectra and two-body final states
• The Mixing Angle of the Lightest Scalar Nonet
• The $P_{cs}(4459)$ pentaquark from a combined effective field theory and phenomenological perspective
• Is J/psi-Nucleon Scattering Dominated by the Gluonic van der Waals Interaction?
• Hadro-quarkonium from Lattice QCD
• Molecular nature of $P_{cs}(4459)$ and its heavy quark spin partners
• The interaction of slow J/psi and psi' with nucleons
• First lattice study of low-energy charmonium-hadron interaction
• Charmonium-nucleon potential from lattice QCD
• Subleading contributions to the decay width of the $T_{cc}^{+}$ tetraquark
• Phi^{zero}-N Bound State
• Omega-phi mixing in chiral perturbation theory
• Long-Range Forces of QCD
• Attractive $N$-$\varphi$ Interaction and Two-Pion Tail from Lattice QCD near Physical Point
• Analysis of the strong decays of the $P_c(4312)$ as a pentaquark molecular state with QCD sum rules
• Cross-channel constraints on resonant antikaon-nucleon scattering
• N phi state in chiral quark model
• Effective field theory for the nucleon-quarkonium interaction
• Two-pole nature of the $\Lambda (1405)$ from lattice QCD
• $N\Omega$ interaction: meson exchanges, inelastic channels, and quasibound state
• Lattice QCD study of $\pi \Sigma -\bar{K}N$ scattering and the $\Lambda (1405)$ resonance
• Study of the near-threshold $\omega \varphi$ mass enhancement in doubly OZI suppressed $J/\psi \to \gamma \omega \varphi$ decays
• Pole determination of $P_{\psi s}^{\Lambda }(4338)$ and possible $P_{\psi s}^{\Lambda }(4255)$ in $B^{-}\to J/\psi \Lambda \bar{p}$
• Triangular singularity and a possible $\varphi p$ resonance in the ${\Lambda }_c^{+}\to {\pi }^0\varphi p$ decay
• Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
• Strong decays of $T_{cc}^{+}$ at NLO in an effective field theory
• Indication of a p-$\varphi$ bound state from a correlation function analysis
• Review of the low-lying excited baryons ${\Sigma }^{\ast }(1/2^{-})$
• Interpretations of the new LHCb $P_c(4337{)}^{+}$ pentaquark state
• $P_{\psi s}^{\Lambda }(4459)$ and $P_{\psi s}^{\Lambda }(4338)$ as molecular states in $J/\psi \Lambda$ invariant mass spectra
• Heavy-hadron molecular spectrum from light-meson exchange saturation
• Evidence of the low-lying baryon ${\Sigma }^{\ast }(1/2^{-})$ in the process ${\Lambda }_c^{+}\to \eta {\pi }^{+}\Lambda$
• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• Peaks within peaks and the possible two-peak structure of the Pc(4457): the effective field theory perspective
• Effective field theories for van der Waals interactions
• Nucleon-charmonium interactions from lattice QCD
• Revisiting $X(3872)\to D^0{\bar{D}}^0{\pi }^0$ in XEFT
• New insights into the nature of the $\Lambda (1380)$ and $\Lambda (1405)$ resonances away from the SU(3) limit
• Molecular charmed baryons and pentaquarks from light-meson exchange saturation
• Hadronic decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
• First Observation of $\Lambda {\pi }^{+}$ and $\Lambda {\pi }^{-}$ Signals near the $\bar{K}N(I=1)$ Mass Threshold in ${\Lambda }_c^{+}\to \Lambda {\pi }^{+}{\pi }^{+}{\pi }^{-}$ Decay
• An Analytic Analysis of the Pion Decay Constant in Three-Flavoured Chiral Perturbation Theory
• Hidden-strange molecular states and the $N\varphi$ bound state via a QCD van der Waals force
• When hadrons become unstable: a novel type of non-analyticity in chiral extrapolations
• Hidden strange pentaquark in constituent quark models
• The $\varphi p$ bound state in the unitary coupled-channel approximation
• 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
• Decay patterns of low-lying $N_{s\bar{s}}$ states to the strangeness channels
• Radiative decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
• $P_c(4457)$ interpreted as a $J^P=1/2^{+}$ state by ${\bar{D}}^0{\Lambda }_c^{+}(2595)$-${\pi }^0{P}_c(4312)$ interaction
• Photoproduction of the $X(3872)$ beyond vector meson dominance: the open-charm coupled-channel mechanism
• p--$\varphi$ femtoscopic correlation analysis using a dynamical model

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