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 to study the interplay of long and short distance dynamics of the Standard Model (SM). Further, 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. Further 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 → pφ recently observed by the LHCb Collaboration which is contributed to only by one single W-exchange diagram.
ForewordThis paper is written in memory of Garry Efimov . For two of us (Mikhail Ivanov and Valery Lyubovitskij) Garry Efimov was a teacher and subsequently an important collaborator. He significantly contributed to the development of nonlocal quantum field theory and its relation to hadron structure. In particular, he showed that the nonlocal structure of hadron-quark interactions is important for a realistic description of the nonperturbative features of the strong interaction contributions at large distances. Phenomena such as hadronization and confinement can be consistently implemented in field-theoretical approaches based on nonlocal phenomenological Lagrangians. Garry Efimov with his pupils and collaborators developed a series of relativistic quark models based on nonlocal Lagrangians.