论文标题
完整的宽川电位的分析解决方案
Complete analytical solution to the quantum Yukawa potential
论文作者
论文摘要
我们使用超对称性和相应超级电位的系统扩展为Yukawa电位中粒子的量子问题提供了完整的分析解决方案。基于数值解决方案和近似方法,对基态进行严格筛查的临界筛查结果改善了现有结果。我们对$(a_ {0}/d)^{2} $的订单计算,用于原点的平方基态波函数,该均以Darkonium Transitions输入的原点,得出$π^{4}/216 $的校正基于变量技术的结果。
We present a complete analytical solution to the quantum problem of a particle in the Yukawa potential, using supersymmetry and a systematic expansion of the corresponding super-potentials. Results for the critical screening of the ground state improve in several figures existing results based on both numerical solutions and approximation methods. Our calculation to order $(a_{0}/D)^{2}$ for the squared ground state wavefunction at the origin, which enter in darkonium transitions, yields a correction of $π^{4}/216$ to results based on variational techniques.