论文标题
j/$ψ$ -j/$ψ$二次和康奈尔电位的散射交叉部分
J/$Ψ$-J/$Ψ$ scattering cross sections of Quadratic and Cornell Potentials
论文作者
论文摘要
我们在我们的Tetraquark中使用二次和康奈尔电位（$ c $$ \ bar {c} $ c $ c $ c $ c $ c $ c $ \ bar {c} $）系统研究J/$ $ $ -J/$ψ$ Meson的散射。在受限的gluonic基础上，系统的波函数是通过使用绝热近似来编写的，并且通过Quark潜在模型使用了哈密顿量。共鸣小组技术用于获取可以求解的积分方程，以获得我们四夸克系统总波函数的未知群间依赖性。从溶液中计算出T-Matrix元素，并最终使用两个电势获得散射横截面。我们比较了这些横截面，并发现二次电势的散射横截面的大小高于康奈尔电位。
We study the scattering of J/$Ψ$-J/$Ψ$ mesons using Quadratic and Cornell potentials in our tetraquark ($c$$\bar{c}$$c$$\bar{c}$) system. The system's wavefunction in the restricted gluonic basis is written by utilizing adiabatic approximation and Hamiltonian is used via quark potential model. Resonating group technique is used to get the integral equations which are solved to get the unknown inter-cluster dependence of the total wavefunction of our tetraquark system. T-Matrix elements are calculated from the solutions and eventually the scattering cross sections are obtained using the two potentials respectively. We compare these cross sections and find that the magnitude of scattering cross sections of Quadratic potential are higher than Cornell potential.
