【作者】 王文玲；

【导师】 刘峰； 张宗烨；

【作者基本信息】 华中师范大学 ， 粒子物理与原子核物理， 2010， 博士

【摘要】 QCD是目前大家公认的强相互作用的基本理论。由于低能区QCD的非微扰特性,我们对低能强子物理的研究仍需要借助于各种具有QCD精神的唯象模型。在这些模型中,手征SU(3)夸克模型和扩展的手征SU(3)夸克模型在解释基态重子的能量、氘核的结合能、核子—核子散射相移以及核子—超子散射截面等方面都取得了很大的成功,并在KN、ΛK、ΣK、ΔK、Nφ、Ωπ等重子—介子系统的研究方面取得了相当的进展。本文应用该模型在共振群方法的框架下动力学地进一步研究了KN、KN、ΞK等重子—介子的相互作用以及ωφ、K*K*等介子—介子的相互作用性质。主要工作包括以下四个方面：·动力学地研究了ΞK系统的相互作用。结果表明,同位旋标量的ΞK系统的相互作用是吸引的。在扩展的手征SU(3)夸克模型中,该吸引力能形成有3个MeV束缚能的ΞK弱束缚态。进一步的分析表明在ΞK系统中,单胶子交换提供的是很强的排斥力,而矢量介子则提供了弱的吸引力,这使得ΞK系统成为能帮助我们检验短程强相互作用机制的理想场所之一·动力学地研究了自旋S=0、1、2的ωφ系统的相互作用。结果表明,尽管ωφ系统的相互作用是吸引的,但吸引力的强度不足以形成ωφ的束缚态或共振态。我们的研究结果不支持将BESⅡ实验组在J／ψ→γωφ双OZI压低的衰变中在ωφ不变质量谱中观测到的阈附近的增强,X(1812),解释为ωφ的束缚态或共振态。·动力学地研究了K*K*系统的相互作用。结果表明在手征SU(3)夸克模型中可以得到自旋S=2的K*K*的束缚态,在扩展的手征SU(3)夸克模型中对各不同的自旋态都可以得到K*K*的束缚态。实验上对这些态的观测结果将有利于我们检验我们的模型并进一步理解夸克间短程相互作用的机制。·动力学地研究了K-p散射到K-p、K0n、π+∑-、π-∑+、π0Σ0和π0Λ道的散射截面以及KN的散射相移。结果表明,短程相互作用除了夸克交换效应外,如果只考虑单胶子交换或矢量介子交换,则不能用同一组参数同时描述KN和KN的实验数据。通过构造一个新的即包含单胶子交换又包含矢量介子交换的模型,我们能够较满意地用同一组参数同时描述KN和KN散射过程。我们的结论是,如果要在组分夸克模型里用同一组参数同时描述KN散射相移和KN散射截面的话,单胶子交换和矢量介子介子交换都必须同时考虑到夸克—夸克相互作用中。进一步的工作中,我们将研究更多的强相互作用的系统。一方面通过与实验的比较来进一步检验我们的模型,另一方面用已经通过NN和KN等散射数据检验了的模型预言未知的强作用系统的性质。更多还原

【Abstract】 QCD is widely believed to be the underlying theory of strong interactions. Due to the non-perturbative property of QCD in low energy region, people still need various QCD-inspired models in the study of low energy hadron physics. Among these models, the chiral SU(3) quark model and the extended chiral SU(3) quark model have been quite successful in reproducing the energies of the baryon ground states, the binding energy of deuteron, the nucleon-nucleon scattering phase shifts, and the nucleon-hyperon scattering cross sections, and have also made remarkable progress in the study of the baryon-meson interactions, e.g. interactions of KN,∧K,∑K,△K, NΦandΩπ. In this thesis, by using these chiral quark models, we further dynamically study the interactions of KN,ΞK,ωΦand K*K* within the framework of resonating group method. Following are the main results we have achieved:●TheΞEK interaction is dynamically investigated. The results show that the S-wave isospin I=0ΞK interaction is attractive, and in the extended chiral SU(3) quark model such an attraction can make for aΞK bound state with 3 MeV binding energy. Further analysis shows that inΞK system the one-gluon exchange offers strong repulsion while vector meson exchange is weekly attractive, which leads the EK system to be one of the ideal places to help us examine the short range quark-quark interaction mechanism.●TheωΦstates with spin S= 0,1 and 2 are dynamically studied. It is found that though theωΦinteraction is attractive, the strength of the attraction is not strong enough to formωΦbound state or resonance state. Our results do not support the explanation that the X(1812), recently observed by BES II collaboration in theωΦinvariant mass spectrum in J/Φ→γωΦdoubly OZI suppressed decay, is structured byωΦbound state or resonance.●The K*K* interaction is dynamically investigated. The results show that in the chiral SU(3) quark model an S= 2 K*K* bound state can be obtained, and in the extended chiral SU(3) quark model the K*K* bound states can be obtained for all the spin cases. The experimental information about these states can help us test our model and further to understand the short range interaction mechanism.●The cross sections for K-p scattering into K-p, K0n,π+∑-,π-∑+,π0∑0 andπ0∧channels and the KN scattering phase shifts are dynamically stud-ied. The results show that for the short range interaction, if we only con-sider one-gluon exchange or vector meson exchange besides quark exchange effects, no simultaneous description for KN cross sections and KN phase shifts can be obtained by use of one set of parameters. Later we construct a new model where both one-gluon exchange and vector meson exchange are included and within such a mode we achieve a satisfactory description for both KN and KN scattering data. We conclude that both one-gluon exchange and vector meson exchange should be considered in the quark-quark interaction if one wants to describe the KN and KN scattering with one set of parameters in the constituent quark model.More systems with strong interactions will be investigated in our future work with the purpose to test our model by a comparison of our theoretical results with the experiments and, on the other hand, to predict unknown properties of strong interaction systems by using the model tested already by NN and KN scattering.更多还原