Saturation effect in confined quantum systems with energy-dependent potentials
arxiv(2024)
摘要
In this paper, we study the saturation effect in the energy or mass spectra
of three quantum models with energy-dependent potentials: the harmonic
oscillator, the hydrogen atom, and the heavy quarkonia. We used the method
proposed in , which is based on studying various
canonical point and gauge transformations applied to a function, g(x),
multiplied by a given differential equation of known solutions as special
orthogonal functions, that convert it into a Schrödinger-like equation.
The first two models stem from implementing the method on the confluent
hypergeometric differential of the well-known solutions _1 F_1, while the
third model (heavy quarkonia) stems possibly from the hypergeometric
differential of the well-known solutions _2 F_1. In particular, the heavy
quarkonia mass spectra for both cc̅ and bb̅ are produced at
different values of the saturation parameter λ and compared with the
available experimental data. It is found that these systems may exhibit
saturation effect when the energy-dependent effect is included.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要