平方根势的辅助场法
Auxiliary field method for the square root potential
摘要：
利用辅助场方法，给出了两个非相对论粒子通过$\sqrt{a^2 r^2 + b}$型势相互作用系统本征能的解析表达式。这种情况在夸克-反夸克对在受激胶子场中演化的混合介子中很常见。提出了渐近表达式，并将近似结果与精确结果进行了比较。结果表明，该方法具有良好的精度。
英文摘要：
Using the auxiliary field method, we give an analytical expression for the eigenenergies of a system composed of two non-relativistic particles interacting via a potential of type $\sqrt{a^2 r^2 + b}$. This situation is usual in the case of hybrid mesons in which the quark-antiquark pair evolves in an excited gluonic field. Asymptotic expressions are proposed and the approximate results are compared to the exact ones. It is shown that the accuracy is excellent.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
