QCD哈密顿量中多夸克系统的可解模型
A Solvable Model for Many Quark Systems in QCD Hamiltonians
摘要：
受正则QCD哈密顿量的启发，我们提出了一个有效的哈密顿量来表示强子袋中任意数量的夸克。讨论了有效哈密顿量的结构，并给出了可能代表组分夸克的BCS型解。单粒子轨道被选为3维谐振子，我们讨论了一类精确的解决方案，可以得到当一个子集的单粒子基态被限制为包括一定数量的轨道激发。一般的问题，其中包括所有可能的轨道状态，也可以解决分析和数值方法相结合。
英文摘要：
Motivated by a canonical, QCD Hamiltonian we propose an effective Hamiltonian to represent an arbitrary number of quarks in hadronic bags. The structure of the effective Hamiltonian is discussed and the BCS-type solutions that may represent constituent quarks are presented. The single particle orbitals are chosen as 3-dimensional harmonic oscillators and we discuss a class of exact solutions that can be obtained when a subset of single-particle basis states is restricted to include a certain number of orbital excitations. The general problem, which includes all possible orbital states, can also be solved by combining analytical and numerical methods.
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