Abstract
The recent discovery of double charm baryon states by the LHCb Collaborarion and their high precision mass determination calls for a comprehensive analysis of the nonleptonic decays of double and single heavy baryons. Nonleptonic baryon decays play an important role in particle phenomenology since they allow for studying the interplay of long and short distance dynamics of the Standard Model (SM). Furthermore, they allow one to search for New Physics effects beyond the SM. We review recent progress in experimental and theoretical studies of the nonleptonic decays of heavy baryons with a focus on double charm baryon states and their decays. In particular, we discuss new ideas proposed by the present authors to calculate the W-exchange matrix elements of the nonleptonic decays of double heavy baryons. An important ingredient in our approach is the compositeness condition of Salam and Weinberg, and an effective implementation of infrared confinement both of which allow one to describe the nonperturbative structure of baryons composed of light and heavy quarks. Furthermore, we discuss an ab initio calculational method for the treatment of the so-called W-exchange diagrams generated by W ± boson exchange between quarks. We found that the W ± -exchange contributions are not suppressed in comparison with the tree-level (factorizing) diagrams and must be taken into account in the evaluation of matrix elements. Moreover, there are decay processes such as the doubly Cabibbo-suppressed decay Ξ c + → p ϕ recently observed by the LHCb Collaboration, which is contributed to only by one single W-exchange diagram.
Highlights
The nonleptonic decays of light and especially heavy baryons play an important role in the phenomenology of particle interactions
The main goal of our present paper is to provide a detailed description of our novel idea to calculate W-exchange diagrams occurring in nonleptonic decays of baryons in the context of our covariant constituent quark model (CCQM) model, which is based on the use of phenomenological nonlocal hadron–quark interaction Lagrangians
The paper is structured as follows: in Section 2, we briefly review some basic notions of our CCQM model which are (i) the underlying phenomenological nonlocal Lagrangians, (ii) the implementation of hadronization and quark confinement, (iii) the calculation of matrix elements, and (iv) the adjustment of the model parameters
Summary
The nonleptonic decays of light and especially heavy baryons play an important role in the phenomenology of particle interactions. The nonleptonic decays can be used to determine some of the parameters of the Standard Model (SM) and to search for New Physics beyond the SM. The last decades have seen significant experimental progress in the study of nonleptonic decays of heavy baryons. The CDF, ATLAS, LHCb, Belle and BES Collaborations have measured various features of the nonleptonic decays of heavy baryons [1]. Starting in 2005, a new era began in the studies of double charm baryons when the SELEX Collaboration reported on the observation of a state with the quantum numbers of the spin 1/2 ground state Ξ+cc baryon with a mass of 3518 ± 3 MeV [6]
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