Meson Spectra using Nikiforov-Uvarov Method

磁场中重夸克偶素的 Nikiforov Uvarov 方法研究

Study of Heavy Quarkonia in the presence of magnetic field by Nikiforov Uvarov method

本文用 Nikiforov Uvarov 方法求解 N 维薛定谔方程，研究强磁场下重夸克偶素的束缚能与质谱，发现磁场增强和维数增加均导致束缚能降低，预示系统早期解离，结果与近期研究一致。

用Nikiforov-Uvarov方法研究核子和重子在各向异性热稠密QCD介质中的离解

Dissociation of Nucleon and Heavy-Baryon in an Anisotropic Hot and Dense QCD Media Using Nikiforov-Uvarov Method

利用Nikiforov-Uvarov方法，在有限温度和重子化学势下，采用实修正势，解析求解了超径向薛定谔方程.得到了热密介质中各向同性和各向异性介质的能量本征值和相应的波函数。结果表明，核子和某些重子的结合能在热介质中强烈下降，并随重子化学势的增加而略有下降。此外，与各向同性介质中的结合能值相比，各向异性介质中的结合能更受约束。在各向异性介质中，每个重子的离解温度都在临界温度以上，并且温度升高。当考虑化学势重子时，热介质中的离解温度略有降低。与现有的研究进行了比较研究。我们的结论是，本研究提供了一个很好的描述核子和一些重子在热的和稠密的介质中的各向同性和各向异性系统。

PT对称量子力学中的指数型复势和非厄米势

Exponential Type Complex and non-Hermitian Potentials in PT-Symmetric Quantum Mechanics

利用NU方法[A. F. Nikiforov，V. B. Uvarov，Special Functions of数学物理，Birkhauser，Basel，1988]，我们研究了复和/或$PT$ -对称、非厄米特和指数型系统（如Poschl-Teller势和Morse势）的实本征值。

用一般多项式势研究重夸克的束缚态

Bound state of heavy quarks using a general polynomial potential

本文在非相对论性薛定谔方程的框架下研究了重夸克b、c夸克和Bc介子束缚态的质量谱。首先，我们用Nikiforov-Uvarov（NU）方法求解具有一般多项式势的薛定谔方程。对于势的一种特殊情况，给出了任意L值的能量本征值.所得结果与实验数据符合良好，优于以往的理论研究。

Heavy-Meson Masses in the Framework of Trigonometric Rosen-Morse Potential Using the Generalized Fractional Derivative

Trigonometric Rosen-Morse Potential is employed as a mesonic potential interaction. The extended Nikiforov-Uvarov method is used to solve the N-radial Fractional Schrodinger equation analytically. Using the generalized fractional derivative, the energy eigenvalues are obtained in the fractional form. The current findings are used to calculate the masses of mesons such as charmonium, bottomonium, and heavy-light mesons. The current findings are superior to those of other recent studies and show good agreement with experimental data as a result, the fractional parameter is crucial in optimizing …

N维Schrodinger方程中含谐振子势的Cornell势中的重夸克偶素和Bc介子

Heavy Quarkonia and Bc-Mesons in the Cornell Potential with Harmonic Oscillator Potential in the N-dimensional Schrodinger Equation

在N维径向薛定谔方程的框架内计算了重夸克偶素、BC介子和CS介子的质量。通过引入谐振子势，对Cornell势进行了推广.在N维空间中用NV方法计算了能量本征值和相应的波函数。在三维空间中得到了能量本征值。计算了粲偶素、底偶素和介子的光谱质量。研究了维数对夸克偶素质量的影响。与其他理论方法的比较进行了讨论。所得结果与实验数据吻合较好。我们认为维数在研究夸克偶素质量谱中起着重要的作用。修正的Cornell势能很好地描述夸克偶素质量的谱。

线性加修正汤川势的夸克偶素谱

Quarkonium spectroscopy of the linear plus modified Yukawa potential

本研究采用线性加修正汤川势作为夸克-反夸克相互作用势，用NU方法解析求解三维Klein-Gordon方程，得到重介质谱，经参数修正后与实验数据吻合良好。

Study on the applicability of Varshni potential to predict the mass-spectra of the quark-antiquark systems in a non-relativistic framework

In this work, we obtain the Schrödinger equation solutions for the Varshni potential using the Nikiforov-Uvarov method. The energy eigenvalues are obtained in non-relativistic regime. The corresponding eigenfunction is obtained in terms of Laguerre polynomials. We applied the present results to calculate heavy-meson masses of charmonium and bottomonium .The mass spectra for charmonium and bottomonium multiplets have predicted numerically. The results are in good agreement with experimental data and the work of other researchers.

Approximate solutions of the Schrodinger equation with Hulthen-Hellmann Potentials for a Quarkonium system

Hulthén plus Hellmann potentials are adopted as the quark-antiquark interaction potential for studying the mass spectra of heavy mesons. We solved the radial Schrödinger equation analytically using the Nikiforov-Uvarov method. The energy eigenvalues and corresponding wave function in terms of Laguerre polynomials were obtained. The present results are applied for calculating the mass of heavy mesons such as charmonium and bottomonium . Four special cases were considered when some of the potential parameters were set to zero, resulting into Hellmann potential, Yukawa potential, Coulomb potentia…

Analytical study on the Applicability of Ultra Generalized Exponential Hyperbolic Potential to Predict the Mass Spectra of the Heavy Mesons

We solved the Klein-Gordon equation analytically using the Nikiforov-Uvarov method to obtain the energy eigenvalues and corresponding wavefunction in terms of Laguerre polynomials with the ultra generalized exponential hyperbolic potential. The present results are applied for calculating the mass spectra of heavy mesons such as charmonium (cc) and bottomonium (cc) for different quantum states. The present potential provides excellent results in comparison with experimental data with a maximum error of and work of other researchers.