Abstract
We study the unitarized meson–baryon scattering amplitude at leading order in the strangeness S=-1 sector using time-ordered perturbation theory for a manifestly Lorentz-invariant formulation of chiral effective field theory. By solving the coupled-channel integral equations with the full off-shell dependence of the effective potential and applying subtractive renormalization, we analyze the renormalized scattering amplitudes and obtain the two-pole structure of the Lambda (1405) resonance. We also point out the necessity of including higher-order terms.
Highlights
With the breakthrough in the observation of gravitational waves by the Advanced LIGO and Virgo Collaborations [1,2], the study of neutron stars enters a new era of multimessage observations
In this paper we have studied meson–baryon scattering in the strangeness S = −1 sector to investigate the structure of the
(1405) resonance using time-ordered perturbation theory applied to the Lorentz-invariant effective chiral Lagrangian with the explicit inclusion of low-lying vector mesons
Summary
With the breakthrough in the observation of gravitational waves by the Advanced LIGO and Virgo Collaborations [1,2], the study of neutron stars enters a new era of multimessage observations. For the lower pole of (1405), there is about 50 MeV uncertainty in the real and imaginary parts obtained in different works [37,38,39,40,41], because the current experimental data are not very sensitive to the lower pole This raised a debate on the one-pole versus two-pole structure of (1405). Notice further that in chiral unitary models, the scattering amplitudes depend on the momentum cutoff parameter ( ) [28] or subtraction constant(s) [29,35,45] introduced to deal with the ultraviolet divergences in the unitarization procedure This results in some model dependence of the pole position(s) of the (1405). We apply this framework to study meson–baryon systems with strangeness S = −1 at LO and investigate the nature of the S-wave (1405) resonance.
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