scholarly journals Heavy quarkonia properties from a hard-wall confinement potential model with conformal symmetry perturbing effects

2019 ◽  
Vol 34 (37) ◽  
pp. 1950307 ◽  
Author(s):  
Ahmed Al-Jamel
Keyword(s):  
Mass Spectra ◽  
Potential Model ◽  
Conformal Symmetry ◽  
Heavy Quarkonia ◽  
Heavy Flavor ◽  
Hard Wall ◽  
Theoretical Approaches ◽  
Radial Schrödinger Equation ◽  
Uvarov Method ◽  
Good Agreement

Heavy [Formula: see text] and [Formula: see text] quarkonia are considered as systems confined within a hard-wall potential shaped after a linear combination of a cotangent — with a square co-secant function. Wave functions and energy spectra are then obtained in closed forms in solving by the Nikiforov–Uvarov method the associated radial Schrödinger equation in the presence of a centrifugal term. The interest in this potential is that in one parametrization, it can account for a conformal symmetry of the strong interaction, and in another for its perturbation, a reason for which we here employ it to study status of conformal symmetry in the heavy flavor sector. The resulting predictions on heavy quarkonia mass spectra and root mean square radii are compared with the available experimental data, as well as with predictions by other theoretical approaches. We observe that a relatively small conformal symmetry perturbing term in the potential suffices to achieve good agreement with data.

scholarly journals Charmonium Properties

2020 ◽  
Keyword(s):  
Experimental Data ◽  
Excited States ◽  
Cross Sections ◽  
Mass Spectra ◽  
Potential Model ◽  
Decay Constants ◽  
Theoretical Approaches ◽  
Relativistic Potential ◽  
Data Group ◽  
Good Agreement

We calculated the mass spectra of charmonium meson by using matrix method to make the predictions of ground and radially excited states of charmonium mesons via non-relativistic potential model. We compared our results with other theoretical approaches and recently published experimental data. The predictions are found to be in a good accordance with the latest experimental results of Particle data group and with the results of other theoretical approaches. Besides, we calculated the momentum width coefficients β of charmonium meson. Since, there are no experimental data for the momentum width coefficients β of charmonium meson yet. Consequently, our calculated coefficients β are compared with other theoretical studies and it is found to be in a good agreement with our results. The obtained results of coefficients β have implications for decay constants, decay widths and differential cross sections for charmonium system and generally for heavy mesons system. Our study is considered as theoretical calculation of some properties of charmonium meson.

scholarly journals SPECTRA OF QUARKONIA AT FINITE TEMPERATURE

2006 ◽  
Vol 21 (17) ◽  
pp. 1383-1391 ◽  
Author(s):  
D. U. MATRASULOV ◽  
F. C. KHANNA ◽  
KH. T. BUTANOV ◽  
KH. YU. RAKHIMOV
Keyword(s):  
Finite Temperature ◽  
Mass Spectra ◽  
Potential Model ◽  
Heavy Quarkonia ◽  
Temperature Spectra

Finite-temperature spectra of heavy quarkonia are calculated by combining potential model and thermofield dynamics formalisms. The mass spectra of the heavy quarkonia with various quark contents are calculated. It is found that binding mass of the quarkonium decreases as temperature increases.

Approximate Ro-Vibrational Spectrum of the Modified Rosen–Morse Molecular Potential Using the Nikiforov–Uvarov Method

2013 ◽  
Vol 68 (6-7) ◽  
pp. 427-432 ◽  
Author(s):  
Ali Akbar Rajabi ◽  
Majid Hamzavi
Keyword(s):  
Vibrational Spectrum ◽  
Schrodinger Equation ◽  
Approximation Scheme ◽  
Centrifugal Term ◽  
Energy Eigenvalues ◽  
Molecular Potential ◽  
Radial Schrödinger Equation ◽  
Uvarov Method ◽  
Nu Method ◽  
Good Agreement

By using the Nikiforov-Uvarov (NU) method and a new approximation scheme to the centrifugal term, we obtained the solutions of the radial Schrödinger equation (SE) for the modified Rosen- Morse (mRM) potential. In this paper, we get the approximate energy eigenvalues and show that the results are in good agreement with those obtained before. Eigenfunctions are also presented for completeness.

scholarly journals Study on the Applicability of Varshni Potential to Predict the Mass Spectra of the Quark-Antiquark Systems in a Non-relativistic Framework

2021 ◽  
Vol 14 (4) ◽  
pp. 339-347
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Mass Spectra ◽  
Laguerre Polynomials ◽  
Heavy Meson ◽  
Energy Eigenvalues ◽  
Relativistic Regime ◽  
Uvarov Method ◽  
Relativistic Framework ◽  
Good Agreement

Abstract: 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 cc ¯ and bottomonium bb ¯. The mass spectra for charmonium and bottomonium multiplets have been predicted numerically. The results are in good agreement with experimental data and the works of other researchers. Keywords: Schrödinger equation, Varshni potential, Nikiforov-Uvarov method, Heavy meson. PACs: 14.20.Lq; 03.65.-w; 14.40.Pq; 11.80.Fv.

scholarly journals Calculation energy levels and charge radius for odd 41–49Ca isotopes by using the analytical approach

2019 ◽  
Vol 34 (09) ◽  
pp. 1950073 ◽  
Author(s):  
Mohsen Mousavi ◽  
Mohammad Reza Shojaei
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Analytical Approach ◽  
Potential Model ◽  
Energy Levels ◽  
Microscopic Investigation ◽  
Static Properties ◽  
Eckart Potential ◽  
Uvarov Method ◽  
Good Agreement

In this study, some static properties of odd isotopes of Ca were investigated in the non-relativistic shell model. We also suggested a novel suitable local potential model for the non-microscopic investigation of the mentioned nuclei. We modeled the odd [Formula: see text]Ca nuclei as doubly-magic isotopes with further nucleons (valence) in the [Formula: see text] and [Formula: see text] levels. Then, the modified Eckart potential plus Hulthen potential were chosen for the interaction between core and nucleons. We also used the parametric Nikiforov–Uvarov method to calculate the values of energy, the radius of charge and wave function. The obtained results showed a good agreement with the experimental data, so this model is applicable for the similar nuclei.

The search for fractional order in heavy quarkonia spectra

2019 ◽  
Vol 34 (10) ◽  
pp. 1950054 ◽  
Author(s):  
Ahmed Al-Jamel
Keyword(s):  
Fractional Order ◽  
Mass Spectra ◽  
Dimensional Space ◽  
Heavy Quarkonia ◽  
Eigenvalues And Eigenfunctions ◽  
Energy Eigenvalues ◽  
Dimension Formula ◽  
Fractional Models ◽  
Uvarov Method ◽  
Exact Energy

Using the concept of conformable fractional derivative, we study the properties of fractional [Formula: see text]-dimensional Schrödinger equation for the potential [Formula: see text]. The extended Nikiforov–Uvarov method is generalized to the fractional domain and then employed to obtain the analytic exact energy eigenvalues and eigenfunctions and their dependence on the fractional order [Formula: see text] and the dimension [Formula: see text]. To test its applicability, we apply the method on heavy quarkonia systems, and reproduce their mass spectra and fractional radial probabilities at different values of [Formula: see text] and [Formula: see text]. Comparing the mass spectra with the experimental data, we discuss to what extent fractional models can account for some features in the description of heavy quarkonia at certain dimensional space.

Theoretical approaches on the α-decay of spherical Bismuth isotopes

2018 ◽  
Vol 27 (03) ◽  
pp. 1850022 ◽  
Author(s):  
S. S. Hosseini ◽  
H. Hassanabadi
Keyword(s):  
Experimental Data ◽  
Potential Model ◽  
Alpha Decay ◽  
Empirical Models ◽  
Empirical Formulas ◽  
Proximity Potential ◽  
Α Decay ◽  
Empirical Estimates ◽  
Theoretical Approaches ◽  
Good Agreement

In this paper, the alpha decay process is investigated through the theoretical approaches for spherical Bismuth (Bi) isotopes in the range 187 [Formula: see text] A [Formula: see text] 214. The results are compared with the experimental data for isotopes of Bi with the modified Coulomb and proximity potential model (MCPPM). We analyze the systematics of alpha decay half-life (HL) of Bi isotopes versus the decay energy and the total [Formula: see text]-kinetic energy. The results and their systematics are compared with the available experimental data and with those data obtained from empirical models as the Viola-Seaborg (VS) formula, Royer (R) and the two versions of modified Brown (mB) empirical formulas. The computed half-lives (HLs) are compared with the experimental data and also with the existing empirical estimates and are found in good agreement.

scholarly journals Mass spectra of one or two heavy quark mesons and diquarks within a nonrelativistic potential model

2021 ◽  
pp. 2150171
Author(s):  
L. X. Gutiérrez-Guerrero ◽  
Jesús Alfaro ◽  
A. Raya
Keyword(s):  
Experimental Data ◽  
Quantum Chromodynamics ◽  
Effective Potential ◽  
Mass Spectra ◽  
Potential Model ◽  
Theoretical Calculations ◽  
Interaction Model ◽  
Heavy Quarks ◽  
The Masses ◽  
Good Agreement

In this paper, the mass spectra of mesons with one or two heavy quarks and their diquarks partners are estimated within a nonrelativistic framework by solving Schrödinger equation with an effective potential inspired by a symmetry preserving Poincaré covariant vector–vector contact interaction model of quantum chromodynamics. Matrix Numerov method is implemented for this purpose. In our survey of mesons with heavy quarks, we fix the model parameter to the masses of groundstates and then extend our calculations for radial excitations and diquarks. The potential model used in this work gives results which are in good agreement with experimental data and other theoretical calculations.

scholarly journals Arbitrary l-solutions of the Schrödinger equation interacting with Hulthén – Hellmann potential model

2020 ◽  
Vol 66 (6 Nov-Dec) ◽  
pp. 730 ◽  
Author(s):  
E. S. William ◽  
E. P. Inyang ◽  
E. A. Thompson
Keyword(s):  
Schrödinger Equation ◽  
Quantum State ◽  
Schrodinger Equation ◽  
Potential Model ◽  
Bound State ◽  
Energy Eigenvalues ◽  
Special Cases ◽  
Radial Schrödinger Equation ◽  
Hellmann Potential ◽  
Good Agreement

In this study, we obtained bound state solutions of the radial Schrödinger equation by the superposition of Hulthén plus Hellmann potential within the framework of Nikiforov-Uvarov (NU) method for an arbitrary  - states. The corresponding normalized wave functions expressed in terms of Jacobi polynomial for a particle exposed to this potential field was also obtained. The numerical energy eigenvalues for different quantum state have been computed. Six special cases are also considered and their energy eigenvalues are obtained. Our results are found to be in good agreement with the results in literature. The behavior of energy in the ground and excited state for different quantum state are studied graphically.

ALPHA-DECAY STUDIES ON 130-153Eu NUCLEI

2013 ◽  
Vol 22 (11) ◽  
pp. 1350081 ◽  
Author(s):  
K. P. SANTHOSH ◽  
B. PRIYANKA
Keyword(s):  
Experimental Data ◽  
Potential Model ◽  
Alpha Decay ◽  
Shell Closure ◽  
Proximity Potential ◽  
Deformed Nuclei ◽  
Neutron Shell ◽  
Good Agreement ◽  
Neutron Shell Closure

The alpha-decay half-lives of the 24 isotopes of Eu (Z = 63) nuclei in the region 130≤A≤153, have been studied systematically within the Coulomb and proximity potential model (CPPM). We have modified the assault frequency and re-determined the half-lives and they show a better agreement with the experimental value. We have also done calculations on the half-lives within the recently proposed Coulomb and proximity potential model for deformed nuclei (CPPMDN). The computed half-lives are compared with the experimental data and they are in good agreement. Using our model, we could also demonstrate the influence of the neutron shell closure at N = 82, in both parent and daughter nuclei, on the alpha-decay half-lives.

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