具有能量依赖势的约束量子系统中的饱和效应

IF 1.6 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Ohood Ali AL-Sbaheen, Ahmed Al-Jamel, Mohamed Ghaleb Al-Masaeed
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引用次数: 0

摘要

在本文中,我们研究了三个量子模型的能量或质量谱中的饱和效应,这三个模型分别是谐振子、氢原子和重夸克。我们使用了 [García-Martínez (Phys Lett 373:3619, 2009)] 中提出的方法,该方法基于研究应用于函数 g(x) 的各种规范点和规规变换,g(x) 乘以已知解为特殊正交函数的给定微分方程,将其转换为类似薛定谔方程。前两个模型源于在众所周知的解\( _1 F_1\) 的汇合超几何微分上实施该方法,而第三个模型(重夸克)可能源于众所周知的解\( _2 F_1\) 的超几何微分。特别是,在饱和参数\(\lambda \)的不同值下,产生了\(c/bar{c}\)和\(b/bar{b}\)的重夸克质量谱,并与现有的实验数据进行了比较。结果发现,当包括能量依赖效应时,这些系统可能会表现出饱和效应。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Saturation effect in confined quantum systems with energy-dependent potentials

Saturation effect in confined quantum systems with energy-dependent potentials

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 [García-Martínez (Phys Lett 373:3619, 2009)], 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 \(c\bar{c}\) and \(b\bar{b}\) are produced at different values of the saturation parameter \(\lambda \) and compared with the available experimental data. It is found that these systems may exhibit saturation effect when the energy-dependent effect is included.

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来源期刊
Indian Journal of Physics
Indian Journal of Physics 物理-物理:综合
CiteScore
3.40
自引率
10.00%
发文量
275
审稿时长
3-8 weeks
期刊介绍: Indian Journal of Physics is a monthly research journal in English published by the Indian Association for the Cultivation of Sciences in collaboration with the Indian Physical Society. The journal publishes refereed papers covering current research in Physics in the following category: Astrophysics, Atmospheric and Space physics; Atomic & Molecular Physics; Biophysics; Condensed Matter & Materials Physics; General & Interdisciplinary Physics; Nonlinear dynamics & Complex Systems; Nuclear Physics; Optics and Spectroscopy; Particle Physics; Plasma Physics; Relativity & Cosmology; Statistical Physics.
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