Pole trajectories of the Λ(1405) helps establish its dynamical nature
arxiv(2024)
摘要
Chiral trajectories of dynamically generated resonances are connected to the
SU(3) breaking pattern and their nature. From an analysis of a recent LQCD
simulation on the πΣ-K̅N scattering for I=0, and the study of
the quark mass dependence of the octet baryons, we determine for the first time
the trajectory of the two poles associated to the Λ(1405) towards the
symmetric point (Tr[M]=cte) accurately. Our result at
unphysical pion mass is consistent with the lattice simulation at m_π≃
200 MeV and the extrapolation to the physical point, based on the NLO chiral
lagrangian, agrees perfectly well with previous analyses of experimental data.
Contrary to other works, we predict qualitatively similar trajectories at LO
and up to NLO, being consistent with the dominance of the LO interaction. At
the SU(3) symmetric point up to NLO, we obtain that the lower pole is located
at E^(1)=1595±8 MeV, being a singlet representation, while the higher
pole belongs to the octet with a mass E^(8)=1600±4 MeV. This can be
tested in the future LQCD simulations.
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