The radial scalar power potential and its application to quarkonium systems

IF 1.6 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Etido P. Inyang, N. Ali, R. Endut, N. Rusli, S. A. Aljunid
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引用次数: 0

Abstract

The current study employs the Nikiforov-Uvarov method to solve the Schrödinger equation for quarkonium systems, utilizing the radial scalar power potential. The eigenvalues of energy and their corresponding wave functions are determined by including the spin–spin, spin–orbit, and tensor interactions in the radial scalar power potential. The mass spectra of charmonia, bottomonia, and bottom-charm in their S, P, D, and F states were determined. Our theoretical states for quarkonium systems align with experimental data across a range of spin levels, as evidenced by our comparison. The total percentage error of our work was computed, yielding a high level of accuracy. The cumulative percentage error for the meson masses of charmonia and bottomonia was determined to be 0.324% and 0.333%, respectively. The masses of the bottom-charm mesons had a total percentage error of 0.012%. Consequently, the present potential yields favorable outcomes for the quarkonium masses, surpassing previous theoretical studies and aligning well with experimental data.

径向标量幂势及其在夸克鎓系统中的应用
目前的研究采用尼基福罗夫-乌瓦洛夫方法,利用径向标量功率势来求解夸克系统的薛定谔方程。通过将自旋-自旋、自旋-轨道和张量相互作用纳入径向标量幂势,确定了能量特征值及其相应的波函数。确定了粲态、底粲态和底粲态在其 S、P、D 和 F 状态下的质谱。我们对夸克鎓系统的理论状态与一系列自旋水平的实验数据相吻合,这一点可以从我们的对比中得到证明。我们计算了工作的总百分比误差,得出了很高的精确度。粲介子和底粲介子质量的累积百分比误差分别为 0.324% 和 0.333%。底粲介子质量的总百分比误差为 0.012%。因此,本势能对夸克子质量产生了有利的结果,超越了以前的理论研究,并与实验数据非常吻合。
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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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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