Pole trajectories of the $\Lambda (1405)$ helps establish its dynamical nature

Abstract

The $\Lambda (1405)$ has been one of the most controversial exotic baryons. If the $\Lambda (1405)$ possesses a two-pole molecular structure, these poles are expected to evolve differently towards the SU(3) limit. From an analysis of a recent LQCD simulation on the $\pi \Sigma -\bar{K}N$ scattering for $I=0$ and the study of the quark mass dependence of the octet baryon masses, we determine for the first time the trajectories of these poles towards the symmetric point over the $\mathrm{Tr}[M]=C$ trajectory accurately. At $m_{\pi }\simeq 200$ MeV, our results are consistent with the lattice simulations, and the extrapolations to the physical point, based on the NLO chiral Lagrangians, agree well with existing experimental analyses. We predict qualitatively similar trajectories at LO and up to NLO, consistent with the LO interaction's dominance. At the SU(3) symmetric point of this trajectory, both poles are on the physical sheet, and the lower pole is located at $E^{(1)}=1573(6)(6)$ MeV, becoming a SU(3) singlet, while the higher pole at $E^{(8a)}=1589(7)(5)$ MeV couples to the octet representation. Moreover, we make predictions in $I=1$ for the ${\Sigma }^{\ast }$ resonance. We find a resonance pole that evolves into a bound state around $m_{\pi }=415$ MeV in this sector. The results presented here are crucial to shed light on the molecular nature of exotic strange baryon resonances and can be tested in future LQCD simulations.

References in corpus (29)

• Observation of an exotic narrow doubly charmed tetraquark
• Effective Kbar N interaction based on chiral SU(3) dynamics
• K^- p scattering length from scattering experiments
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• Origin of resonances in the chiral unitary approach
• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• On the Strangeness -1 S-wave Meson-Baryon Scattering
• Measurement of the Sigma pi photoproduction line shapes near the Lambda(1405)
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
• Lineshape of the Lambda(1405) Hyperon Measured Through its Sigma0 pion0 Decay
• Photoproduction of Lambda(1405) and Sigma^{0}(1385) on the proton at E_γ= 1.5-2.4 GeV
• DN interaction from meson exchange
• Excited hadrons on the lattice: Baryons
• Two-pole structures in QCD: Facts, not fantasy!
• Structure of the $\mathbf{\Lambda }(1405)$ from Hamiltonian effective field theory
• On the chiral effective meson-baryon Lagrangian at third order
• Constraining the $\overline{\mathrm{K}}\mathrm{N}$ coupled channel dynamics using femtoscopic correlations at the LHC
• Cross-channel constraints on resonant antikaon-nucleon scattering
• Two-pole nature of the $\Lambda (1405)$ from lattice QCD
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• Lattice QCD study of $\pi \Sigma -\bar{K}N$ scattering and the $\Lambda (1405)$ resonance
• Review of the low-lying excited baryons ${\Sigma }^{\ast }(1/2^{-})$
• Theoretical study of $N(1535)$ and ${\Sigma }^{\ast }(1/2^{-})$ in the Cabibbo-favored process ${\Lambda }_c^{+}\to p{\bar{K}}^0\eta$
• New insights into the nature of the $\Lambda (1380)$ and $\Lambda (1405)$ resonances away from the SU(3) limit
• Pole position of $\Lambda (1405)$ measured in $d(K^{-},n)\pi \Sigma$ reactions
• Flavor structure of $\Lambda$ baryons from lattice QCD: From strange to charm quarks
• New insights into the pole parameters of the $\Lambda (1380)$, the $\Lambda (1405)$ and the $\Sigma (1385)$
• Charm-baryon semileptonic decays and the strange ${\Lambda }^{\ast }$ resonances: New insights from lattice QCD

Cited by in corpus (1)

• Pion scattering in finite volume within the Inverse Amplitude Method