有限温度下扩展Cornell势的束缚态解Schrödinger方程

IF 1.5 4区物理与天体物理 Q3 PHYSICS, PARTICLES & FIELDS

Advances in High Energy Physics Pub Date : 2021-04-09 DOI:10.1155/2021/1861946

A. Ahmadov, K. H. Abasova, M. Orucova

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引用次数: 9

摘要

本文采用Nikiforov-Uvarov方法研究了有限温度相关Schrödinger方程。我们考虑康奈尔势、逆二次势和谐波型势的总和作为径向Schrödinger方程的势部分。给出了能量特征值和径向波函数的解析表达式。对重夸子和bc介子质量的应用结果除角动量量子数为零外，与现有实验数据基本一致。温度依赖性的数值结果表明，不同的量子数有不同的行为。温度相关的结果与基态的一些QCD求和规则结果一致。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature

In this paper, we study the finite temperature-dependent Schrödinger equation by using the Nikiforov-Uvarov method. We consider the sum of the Cornell, inverse quadratic, and harmonic-type potentials as the potential part of the radial Schrödinger equation. Analytical expressions for the energy eigenvalues and the radial wave function are presented. Application of the results for the heavy quarkonia and B c meson masses are in good agreement with the current experimental data except for zero angular momentum quantum numbers. Numerical results for the temperature dependence indicates a different behaviour for different quantum numbers. Temperature-dependent results are in agreement with some QCD sum rule results from the ground states.

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来源期刊

Advances in High Energy Physics PHYSICS, PARTICLES & FIELDS-

CiteScore

3.40

自引率

5.90%

发文量

审稿时长

6-12 weeks

期刊介绍： Advances in High Energy Physics publishes the results of theoretical and experimental research on the nature of, and interaction between, energy and matter. Considering both original research and focussed review articles, the journal welcomes submissions from small research groups and large consortia alike.