非微扰QCD方法及其在重味物理中的应用

The most important problems in particle physics now are to study the nonperturbative method in quantum chromodynamics and probe new physics beyond the standard model. The research for b quark physics is closely concerned with both the perturbative and nonperturbative QCD and the effects of new physics. QCD nonperturbative method is applied to investigate the physics of hadrons containing a heavy quark in this project. In the framework of heavy quark effective theory, QCD sum rules are used to study the semileptonic decays and , in which the corrections in the heavy quark expansion are included. The subleading Isgur-Wise functions resulting from the weak currents and effective Lagrangian are calculated, and the decay rates and branching ratios are computed with the inclusion of the order of corrections. We have also investigated the effects due to the mixing of two interpolating currents for ground state baryons, which are concerned with the choice of heavy baryon currents. Additionally, the mass parameters of LQ-type and SQ-type baryons to order are calculated by QCD sum rules. Furthermore, the Lb semileptonic decays into excited charmed heavy baryons are studied. The Isgur-Wise functions for semileptonic decays are calculated and the decay rates and branching ratios are determined. . Quantum entanglement is an important element both in modern quantum theory and in quantum information. The characters of entanglement are studied in this project, which include the properties of entanglement, the measure of entanglement and the purification and extraction of entangled mixed states. The basic conditions for entanglement measure are discussed in details. The entanglement transformation and extraction are investigated, we obtains the transformation rule between Scimidt decomposable multiparticle entangled pure states. We also get some conditions and possible schemes for purification and extraction of entanglement related certain mixed states. Furthermore, the relations between entanglement extraction and local distinguishability are discussed for normalized quantum state.

非微扰QCD方法及其在重味物理中的应用是粒子物理唯象学研究中的重大课题。本项目致力诜⒄狗俏⑷臦CD方法，把重夸克有效理论和QCD求和规则结合起来。用HQET求和规则研究重孔拥男灾省１鞠钅拷曰蚉波激发态的重介子和重重子进行详细研究，包括重强子的结合能、强衰变、B介子的半轻衰变和非轻衰变。