m-半格中的滤子及其相关拓扑性质

首先,通过在m-半格中引入滤子的概念,讨论m-半格中滤子的若干性质,进而构造m-半格上的滤子拓扑,得到了滤子空间的一系列性质;其次,证明每个滤子空间是连通的,且双侧m-半格上的滤子空间满足第一可数性公理,并分别给出其为T_(0)空间及满足第二可数性公理的充要条件;最后,通过引入m-半格中素滤子的概念,讨论m-半格上的对偶素谱空间,证明双侧m-半格上的对偶素谱空间是T_(0)空间,并给出其为T_(1)空间的等价刻画.

Charmonium Spectrum and Their Transitions in Relativistic Quark Models

Using the phenomenological relativistic harmonic model （RHM） for quarks, we have obtained the masses of S wave charmonium states. The full Hamiltonian used in the investigation has Lorentz scalar plus vector confinement potential, along with the confined one gluon exchange potential （COGEP）. A good agreement with the experimental masses for the ground state and the radially excited states is obtained for both the triplet and singlet S wave mesons. The calculated charge radii, meson decay constants, leptonic decay width, two photon decay width, and the radiative M1 decay width are in good agreement with the experimental results.