Abstract
The nonleptonic weak decays of Λ+c→K0ηpand Λ+c→ π0фpare investigated from the viewpoint of probing theN*(1535) resonance and the possibleфpstate. For the Λ+c→K0ηpdecay, we study the invariant mass distribution ofηpwith both the chiral unitary approach and an effective Lagrangian model. Within the chiral unitary approach, theN*(1535) resonance is dynamically generated from the final state interaction of mesons and baryons in coupled channels. While for the effective Lagrangian model, we take a Breit-Wigner formula for theN*(1535) resonance. We found that the behavior of theN*(1535) resonance in the Λ+c→K0N*(1535) →K0ηpdecay within the two approaches is different. For the Λ+c→ π0фpdecay, we consider a triangle singularity mechanism, where the Λ+cdecays into theK*Σ*(1385), the Σ*(1385) decays into the π0Σ/Λ, and then the K*Σ/Λ merge to produce theфpin the final state. This mechanism produces a peak structure around 2020 MeV. In addition, the possibility that there is a hidden-strange pentaquark-like state is also considered by taking into account the final state interactions of K*Λ, K*Σ, andфp. We conclude that it is difficult to search for the hidden-strange state in this decay. However, we do expect nontrivial behavior in theфpinvariant mass distribution. The proposed Λ+cdecay mechanism here can provide valuable information on the properties of these nuclear resonances and can in principle be tested by experiments such as BESIII, LHCb and Belle-II.
Highlights
The nonleptonic weak decays of charmed hadrons provide a useful platform to study hadronic resonances, some of which are subjects of intense debate about their nature [1,2,3]
We present the numerical results for the φp invariant mass distribution, dΓ d Mφ p π0 φ p decay with three models: Model I represents the calculation of the triangle diagrams in Fig. 7 with the re-scattering T -matrix elements tK∗0Σ+→φp and tK∗+Λ→φp taken from Ref. [54], which includes the contribution of a Ps state with a mass of about 1980 MeV; Model II is different from Model I by taking the tK∗0Σ+→φp and tK∗+Λ→φp as constants, and it represents the case without any Ps resonance; Model III represents the results obtained from the pure phase space without any special dynamic, which we take the total decay amplitude tIII = c2
We have studied the role of N∗(1535) and possible φp state in the decays of Λ+c → K 0N∗(1535) → K 0ηp and Λ+c → π0φp, respectively
Summary
The nonleptonic weak decays of charmed hadrons provide a useful platform to study hadronic resonances, some of which are subjects of intense debate about their nature [1,2,3]. The role of the possible Σ∗(1380) state with JP = 1/2− in the Λ+c → ηπ+Λ decay is studied in Ref.
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