Abstract

We study the structure of the $\Lambda_c(2595)$ and $\Lambda_c(2625)$ resonances in the framework of an effective field theory consistent with heavy quark spin and chiral symmetries, that incorporates the interplay between $\Sigma_c^{(*)}\pi-ND^{(*)}$ baryon-meson degrees of freedom and bare P-wave $c\bar ud$ quark-model states. We show that these two resonances are not HQSS partners. The $J^P= 3/2^-$ $\Lambda_c(2625)$ should be viewed mostly as a dressed three quark state, whose origin is determined by a bare state, predicted to lie very close to the mass of the resonance. The $J^P= 1/2^-$ $\Lambda_c(2595)$ seems to have, however, a predominant molecular structure. This is because, it is either the result of the chiral $\Sigma_c\pi$ interaction, which threshold is located much more closer than the mass of the bare three-quark state, or because the light degrees of freedom in its inner structure are coupled to the unnatural $0^-$ quantum-numbers. We show that both situations can occur depending on the renormalization procedure used. We find some additional states, but the classification of the spectrum in terms of HQSS is difficult, despite having used interactions that respect this symmetry. This is because the bare quark-model state and the $\Sigma_c\pi$ threshold are located extraordinarily close to the $\Lambda_c(2625)$ and $\Lambda_c(2595)$, respectively, and hence they play totally different roles in each sector.

Highlights

  • In the infinite quark mass limit, the dynamics of baryons containing a heavy quark should show an SU(2) pattern because of the symmetry that quantum chromodynamics (QCD) acquires in that limit under arbitrary rotations of the spin of the heavy quark, SQ

  • Already mentioned, about the matching between quark models and hadron-hadron based images of the problem, and the dependence on the renormalization procedure, we will fix d1 to the latter value, and study the dependence of the previous results on c1. We let this latter parameter vary in the range −3 to 2 in Fig. 4, where the jgΣÃcπj and jgNDÃ j couplings, the mass and ΣÃcπ− molecular probability of the JP 1⁄4 3=2− dressed Constituent quark models (CQMs) pole are shown as a function of c1

  • We show the produced changes in the mass and coupling to ΣÃcπ of the dressed JP 1⁄4 3=2− CQM state, as a function of the low energy constants (LEC) d1, when MCQM is shifted by Æ15 MeV with respect to the value of 2529 MeV used here and taken from [8]

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Summary

INTRODUCTION

In the infinite quark mass limit (mQ → ∞), the dynamics of baryons containing a heavy quark should show an SU(2) pattern because of the symmetry that quantum chromodynamics (QCD) acquires in that limit under arbitrary rotations of the spin of the heavy quark, SQ. [14] studied the Λcð2595Þ and there, the interactions were obtained from chirally motivated Lagrangians upon replacing the s quark by the c quark Though in this way, the ND channel was accounted for, the HQSS counterpart NDà was not considered. CQM d.o.f. can be taken into account in hadron scattering schemes by considering an additional energy dependent interaction [34,35], driven by a pole in the baryon-meson tree-level amplitudes located at the bare. We will study of the structure of the Λcð2595Þ and Λcð2625Þ resonances, in the framework of an effective theory consistent with heavy quark spin and chiral symmetries, incorporating for the very first time, the interplay between ΣðcÃÞπ − NDðÃÞ baryon-meson d.o.f. and bare P-wave cud quark-model states.

FORMALISM
V J ðsÞGJ ðsÞ
RESULTS AND DISCUSSION
The Λcð2625Þ
The Λcð2595Þ
Further comments
CONCLUSIONS

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