The Chromomagnetic Interaction And Mass Spectrum Of Meson State With Heavy Flavors

Recently, Belle Collaboration observed two new bottomonium-like resonances, dubbed Zb(10610) and Zb (10650). Exclude the hypotheses of J≤2via the comparison of angular distributions, the quantum numbers for both states Zb(10610) and Zb (10650) more favored Jp=1+. The both states has been encouraged great interest as exotic states because the non-zero electric charged states cannot be explained as conventional bottomonium. Besides, the measured masses of these new states were found very close to the B*B (10604.6MeV) and B*B*(10650.2MeV) threshold. As a consequence, an assumption of meson-meson molecules has been suggested for the two states at Belle Collaboration. However, the theory of molecule cannot perfectly explain these characters of Zb(10610) and Zb(10650). Thus, the various calculations of phenomenology model have appeared with one by one.In the conventional constituent quark model, hadrons are classified into mesons and baryons which are composed of qq and qqq respectively. With the development of science and technology in the recently years, an increasing number of new hadron states have been founded, such as X(3872)、X(3940)、Y(4140)、 Y(4260)、Z+(4430) and so on. Especially, these heavy flavor mesons have the same characters that they include a pair of quark-antiquark, but cannot be explained as conventional mesons or excited states of meson. For the sake of description characters and configuration of the heavy flavor mesons, ones have proposed many phenomenology models based on QCD theory, such as tetraquark, molecule, hybrids, glueballs and so on.In this work, using the chromomagnetic interaction Hamiltonian with account for the flavor symmetry breaking, we have performed a schematic study on the masses of the heavy tetraquarks. Based on the chromomagnetic interaction model, firstly, we approximately deal with the spatial wave function of tetraquark states of S-wave and construct their basis vectors of color-spin wave function; Secondly, for the cnsn, cncn, cscs and bnbn configuration of tetraquark, we respectively diagonalize the Hamiltonian matrix elements with the JP-0+,1+and2+quantum numbers and obtain the masses and the color-spin wave function of tetraquark. The theoretical results indicate as follows.(1) In cnsn configuration, we may properly interpret to the low mass puzzle of D*sJ(2317) and DsJ(2460).(2) Through the calculation and analysis of tetraquark cncn, we have obtained that the tetraquark state at3846MeV could be the candidate of X(3872). At the same time, such a description is very suitable for X(3872) that decay into J/Ψ+ρ or J/Ψ+ω with a small width.(3) The calculated spectrum has exhibited that there are several states for tetraquark esc s configuration, one of which may be candidate of Y(4140).(4) For the sake of study the non-zero electric charged states, both Zb(10610) and Zb (10650), we provide that they could be the tetraquark states with bnbn. In conclude, the numerical result indicates both10612MeV and10683MeV are well compatible with the experimental values for describing the Zb(10610) and Zb(10650) resonant states, which should have a minimum tetraquark content bubd or bdbu, respectively. Besides, we also predict the existence of others possible tetraquark states, and expect to search them in future experiments.