Doubly Heavy Baryon Production In High Energy E~+e~- Annihilation Process

Searching for new physics beyond the Standard Model(SM) and solving the non-perturbation problem of Quantum Chromodynamics(QCD) are the two major issues that current particle physics is facing. Among various solutions, the heavy hadron physics is the frontier in the particle physics researches, which is essential to the issues above. The multiparticle production processes of high energy e+e- collisions are of great importance in studying the strong interaction mechanism, revealing the fragmentation characteristics of quarks and gluons, and examining QCD theory. Hadronization of the parton system created in the hard collisions is very crucial to understand the confinement mechanism. However, up to now the hadronization process cannot be described perturbatively and can only be dealt by various hadronization models.In the process of e+e- annihilation, the color structure of the final parton systems is the end of parton shower and at the same time the beginning of the hadron process. In another word, it connects the Perturbative Quantum Chromodynamics(PQCD) and the hadronization. In the traditional large Nc(color number) approximation(cN ? ?), only one kind of color connection can be considered for the final parton system, named as color neutral current connection. Most of the predictions given by this assumption are consistent with experimental results, which make people ignore other kinds of color connections. For a long period of time, color neutral current connection is considered as the unique natural way selected by the Non-perturbative Quantum Chromodynamics(NPQCD). However, related studies have shown that in the real world for Nc = 3, the final parton system can also be connected with color separation mode. Compared to the traditional color neutral current connection, the color separation connection is consistent with the experimental data as well, or even better. In fact, for the color space of the parton system, there are many decomposition ways corresponding to various color connections, respectively. Different color structure may lead to different hadronization result. Hence, it is instructive to study the special properties of the final hadrons and the color connections of the final parton systems, which must be conducive to understand hadronization mechanism.In recent years, a lot of new bound states have been observed in experiments, such as charmoniumlike states(called X, Y, Z particles), which are unexpected states discovered in charmonium mass region during the last decade. However, many of them show properties different from the naive expectation of conventional charmonium states, which makes them more like exotic states rather than conventional mesons. However, it has been suggested that many of the XYZ states are multiquark states, either tetraquarks or molecules, and many new charmonium or charmonium-like states do not fit into the quark model spectrum easily. It has been long before suggested that studying their generation mechanism is helpful to determine the hadron structure, since they could be candidates for usual charmonium states.In this paper, We investigate a special color connection of four heavy quark system and the corresponding hadronization effects in e+e- annihilation. We argue that a special color connection of four heavy quark system without color-separation favours the production of doubly heavy baryons. For the related three-jet case, the corresponding hadronization has not been considered. We take the X(3872) and Ξcc as an example respectively, describe the hadronization of the special color connection, and give the numerical results and the differences between these two models. The production rate and the properties of final state hadron systems are discussed. The three-jet events can be used to tag and search these doubly heavy baryons production.