Abstract

From the perspective that Lambda _c(2595) and Lambda _c(2625) are dynamically generated resonances from the DN,~D^*N interaction and coupled channels, we have evaluated the rates for Lambda _b rightarrow pi ^- Lambda _c(2595) and Lambda _b rightarrow pi ^- Lambda _c(2625) up to a global unknown factor that allows us to calculate the ratio of rates and compare with experiment, where good agreement is found. Similarly, we can also make predictions for the ratio of rates of the, yet unknown, decays of Lambda _b rightarrow D_s^- Lambda _c(2595) and Lambda _b rightarrow D_s^- Lambda _c(2625) and make estimates for their individual branching fractions.

Highlights

  • The weak decay of B and D mesons, as well as that of b, c baryons, has brought an unexpected source of information on the nature of many hadrons which are produced in the final states, adding new elements into the debate on the structure of hadrons [2,3]

  • The starting point of our study is the assumption that the c(2595) and c(2625) states are dynamically generated from the pseudoscalarbaryon and vector-baryon interaction, and from the D N and D∗ N channels

  • We have studied b → π − c(2595) and b → π − c(2625) from the perspective that the c(2595) and c(2625) are dynamically generated resonances from the interaction of D N, D∗ N with coupled channels

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Summary

Introduction

The weak decay of B and D mesons, as well as that of b, c baryons, has brought an unexpected source of information on the nature of many hadrons which are produced in the final states (see recent reviews in Ref. [1]), adding new elements into the debate on the structure of hadrons [2,3]. In the first reaction π +π − gave rise to f0(500) and there was only a very weak signal of f0(980), while in the second reaction the f0(980) excitation was very pronounced and there was no signal of f0(500) These results were soon interpreted within the context of the chiral unitary approach in Ref. The starting point of our study is the assumption that the c(2595) and c(2625) states are dynamically generated from the pseudoscalarbaryon and vector-baryon interaction, and from the D N and D∗ N channels. The history of the (1405) is long (see review in the PDG [18]) It appears dynamically generated from the interaction of K N , π and other coupled channels, and there are two states in the vicinity of the nominal mass [19,20].

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Formalism
Angular and spin matrix elements
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Evaluation of the weak matrix elements
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Results
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Conclusions
Full Text
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