We present the light-quark mass dependence of the Λ(1405) resonance at leading order in a renormalizable framework of covariant chiral effective field theory. The meson-baryon scattering amplitudes, which are obtained by solving the scattering equation within time-ordered perturbation theory, follow the quark mass trajectory of the Coordinated Lattice Simulations consortium. At M_π≈ 200 MeV and MK≈ 487 MeV, our parameter-free prediction of Λ(1405) poles is consistent with the recent lattice results of BaSc Collaboration [Phys. Rev. Lett. 132, 051901 (2024)]. Varying the pion mass from $135$ MeV to $400$ MeV, we present the evolution of double-pole positions of Λ(1405): the higher pole remains a resonance around the K̄N threshold; whereas the lower pole undergoes a transition from resonance to a virtual state, and ultimately to a bound state of the πΣ system, which could serve as a prediction of the forthcoming lattice QCD simulations.
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Xiu-Lei Ren (2024) studied this question.
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