We study the scattering of - mesons using quadratic and Cornell potentials in our tetraquark ( ) system. The system’s wavefunction in the restricted gluonic basis, which is written by utilizing the adiabatic approximation and Hamiltonian, is used via a quark potential model. The resonating group technique is used to obtain the integral equations, which are solved to obtain 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. We compare these cross sections and find that the magnitudes of scattering cross sections of quadratic potential are higher than the Cornell potential.

我们在四夸克 ( ) 系统中使用二次和康奈尔势来研究-介子的散射。该系统在受限胶子基中的波函数是利用绝热近似和哈密顿量编写的，通过夸克势模型使用。谐振群技术用于获得积分方程，求解得到我们四夸克系统总波函数的未知簇间依赖性。从解中计算出 T-Matrix 元素，最终利用这两个势能得到散射截面。我们比较了这些截面，发现二次势的散射截面的大小高于康奈尔势。