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.

11 pages, 9 figures

References in corpus (34)

• 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
• 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
• Explaining the Many Threshold Structures in the Heavy-Quark Hadron Spectrum
• 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
• Spin-2 $N\Omega$ Dibaryon from Lattice QCD
• Molecular nature of $P_{cs}(4459)$ and its heavy quark spin partners
• First lattice study of low-energy charmonium-hadron interaction
• Charmonium-nucleon potential from lattice QCD
• Attractive $N$-$\varphi$ Interaction and Two-Pion Tail from Lattice QCD near Physical Point
• Cross-channel constraints on resonant antikaon-nucleon scattering
• Two-pole nature of the $\Lambda (1405)$ from lattice QCD
• Lattice QCD study of $\pi \Sigma -\bar{K}N$ scattering and the $\Lambda (1405)$ resonance
• 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
• 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 ${\Sigma }^{\ast }(1/2^{-})$
• $P_{\psi s}^{\Lambda }(4459)$ and $P_{\psi s}^{\Lambda }(4338)$ as molecular states in $J/\psi \Lambda$ invariant mass spectra
• 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
• Nucleon-charmonium interactions from lattice QCD
• 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
• 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
• Hadronic decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
• 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
• 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

Cited by in corpus (1)

• Decoding the near-threshold $X_{0,1}(4140)$ and $X_1(4685)$ states via OZI-suppressed coupled-channel scattering