Abstract

A Σ⁎ resonance with spin-parity JP=1/2− and mass in the vicinity of the K¯N threshold has been predicted in the unitary chiral approach and inferred from the analysis of CLAS data on the γp→K+π0Σ0 reaction. In this work, based on the dominant Cabibbo favored weak decay mechanism, we perform a study of Λc+→π+π0Σ⁎ with the possible Σ⁎ state decaying into π−Σ+ through a triangle diagram. This process is initiated by Λc+→π+K¯⁎N, then the K¯⁎ decays into K¯π and K¯N produce the Σ⁎ through a triangle loop containing K¯⁎NK¯ which develops a triangle singularity. We show that the π−Σ+ state is generated from final state interaction of K¯N in S-wave and isospin I=1, and the Λc+→π+π0π−Σ+ decay can be used to study the possible Σ⁎ state around the K¯N threshold. The proposed decay mechanism can provide valuable information on the nature of the Σ⁎ resonance and can in principle be tested by facilities such as LHCb, BelleII and BESIII.

Highlights

  • Investigating low-lying excited states of (1193), ∗, with isospin I = 1 and strangeness S = −1 is one of the important issues in hadronic physics [1,2,3]

  • Such a state near the K N threshold is discussed in Refs. [11,12], while in Ref. [15], a ∗ state is found with mass around 1400 MeV, though it is not clear if it is related to one or two poles in the complex plane

  • The triangle singularities have recently shown to be very important in many hadronic decays

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Summary

Introduction

[10] as a strong cusp effect [16] based on the analysis of the experimental data on the γ p → K +π ± ∓ reactions [17,18] Such a state near the K N threshold is discussed in Refs. The effect of this possible K N state with mass about 1430 MeV in the processes of χc0(1P ) → π ( ) decays was studied in Refs. The TS appears from a loop diagram in the decay of a particle 1 into two particles 2 and 3 through the following process: at first the particle 1 decays into particles A and B, and the particle A subsequently decays into particles 2 and C , and the particles B and C merge and form the particle 3 in the final state.

Formalism
Numerical results
Conclusions

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