scholarly journals Spin Splitting Spectroscopy of Heavy Quark and Antiquarks Systems

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Hesham Mansour ◽  
Ahmed Gamal ◽  
M. Abolmahassen
Keyword(s):  
Mass Spectra ◽  
Bound States ◽  
Good Accuracy ◽  
Theoretical Calculations ◽  
Spin Splitting ◽  
Energy Eigenvalues ◽  
Central Case ◽  
Nu Method ◽  
Better Than ◽  
Good Agreement

Phenomenological potentials describe the quarkonium systems like c c ¯ , b b , ¯   and   b ¯ c where they give a good accuracy for the mass spectra. In the present work, we extend one of our previous works in the central case by adding spin-dependent terms to allow for relativistic corrections. By using such terms, we get better accuracy than previous theoretical calculations. In the present work, the mass spectra of the bound states of heavy quarks   c c ¯ , b b ¯ , and 𝐵𝑐 mesons are studied within the framework of the nonrelativistic Schrödinger equation. First, we solve Schrödinger’s equation by Nikiforov-Uvarov (NU) method. The energy eigenvalues are presented using our new potential. The results obtained are in good agreement with the experimental data and are better than the previous theoretical estimates.

Dirac Equation with Mixed Scalar–Vector–Pseudoscalar Linear Potential under Relativistic Symmetries

2015 ◽  
Vol 70 (9) ◽  
pp. 713-720 ◽  
Author(s):  
Hadi Tokmehdashi ◽  
Ali Akbar Rajabi ◽  
Majid Hamzavi
Keyword(s):  
Dirac Equation ◽  
Bound States ◽  
Wave Functions ◽  
Linear Potential ◽  
Energy Eigenvalues ◽  
Nu Method

AbstractIn the presence of spin and pseudospin (p-spin) symmetries, the approximate analytical bound states of the Dirac equation, which describes the motion of a spin-1/2 particle in 1+1 dimensions for mixed scalar–vector–pseudoscalar linear potential are investigated. The Nikiforov–Uvarov (NU) method is used to obtain energy eigenvalues and corresponding wave functions in their closed forms.

scholarly journals Bound State of Heavy Quarks Using a General Polynomial Potential

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Hesham Mansour ◽  
Ahmed Gamal
Keyword(s):  
Bound States ◽  
Bound State ◽  
Heavy Quarks ◽  
Polynomial Potential ◽  
Schrödinger’S Equation ◽  
General Polynomial ◽  
L Value ◽  
Schrödinger's Equation ◽  
Better Than ◽  
Good Agreement

In the present work, the mass spectra of the bound states of heavy quarks cc-,bb-, and Bc meson are studied within the framework of the nonrelativistic Schrödinger’s equation. First, we solve Schrödinger’s equation with a general polynomial potential by Nikiforov-Uvarov (NU) method. The energy eigenvalues for any L- value is presented for a special case of the potential. The results obtained are in good agreement with the experimental data and are better than previous theoretical studies.

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.

The mass-number dependence studies for the multiplicity of shower particles produced in interactions of different projectiles with emulsion nuclei at 3.7 GeV/n in the framework of the modified Glauber models I and II

2009 ◽  
Vol 87 (8) ◽  
pp. 945-956 ◽  
Author(s):  
M. S.M. Nour El-Din ◽  
M. E. Solite
Keyword(s):  
Experimental Data ◽  
Cross Sections ◽  
Theoretical Calculations ◽  
Reaction Cross ◽  
Total Reaction ◽  
Binary Collisions ◽  
Zero Range ◽  
Reaction Cross Sections ◽  
Better Than ◽  
Good Agreement

In the present work, we calculate the total reaction cross sections for the reactions of the following projectiles: P, 12C, 14N, 16O, 22Ne, 24Mg, 28Si, and 32S with emulsion nuclei, at incident energy ELab = 3.7 GeV/n, in the framework of the modified Glauber models I and II (Gl-I and Gl-II approaches). At the same time the number of interacted nucleons from these projectiles and the emulsion target nuclei beside the number of their binary collisions are calculated. Also the multiplicity of the shower particles produced in these reactions are calculated. A comparison between the calculated values of these total reaction cross sections and their multiplicities of the produced shower particles in these reactions, with the corresponding measured values, had been done within both: Gl-I and Gl-II approaches and in accordance to the zero-range considerations. As a result of this comparison we have not obtained an agreement between the calculated values and the corresponding experimental data in case of the total reaction cross sections, but we have got, in general, a good agreement for the comparison in the case of the particle multiplicities calculations. It should be noted, for the last comparison, that the theoretical calculations in the framework of Gl-II approach give, in general, agreement with the corresponding experimental data better than those we have obtained for the theoretical calculations in the framework of the Gl-I approach.

A Single-Band Constant-Confining-Potential Model for Self-Assembled InAs/GaAs Quantum Dots

2000 ◽  
Vol 642 ◽  
Author(s):  
M. Califano ◽  
P. Harrison
Keyword(s):  
Quantum Dots ◽  
Bound States ◽  
State Energy ◽  
Potential Model ◽  
Photoluminescence Spectra ◽  
Energy Eigenvalues ◽  
Confining Potential ◽  
Band Mixing ◽  
Structure Calculations ◽  
Good Agreement

ABSTRACTA simple and versatile numerical method for electronic structure calculations in InAs pyramidal dots is presented, and its predictions compared with both theoretical and experimental data. The calculated ground state energy eigenvalues agree well with those of more sophisticated treatments which take into account band mixing and the microscopic effects of the strain distribution. The number of electron bound states predicted is in excellent agreement with very recent calculations for strained quantum dots performed in the framework of the 8-band k · p theory. Very good agreement is obtained with both the number and the energy of the peaks in several experimental photoluminescence spectra. Furthermore our ca agreement with that deduced from capacitance and photoluminescence measurements.

EXPERIMENTAL CONDUCTION ELECTRON SPIN-SPLITTING FACTORS IN MOLYBDENUM AND OSMIUM

1993 ◽  
Vol 07 (01n03) ◽  
pp. 244-247
Author(s):  
O. Z. OSTAPIAK ◽  
J. M. PERZ ◽  
V. PLUZHNIKOV ◽  
V. E. STARTSEV
Keyword(s):  
Electron Spin ◽  
Conduction Electron ◽  
Theoretical Calculations ◽  
Spin Splitting ◽  
Quantum Oscillations ◽  
Exchange Correlation ◽  
Good Agreement ◽  
G Factors

Conduction electron spin-splitting factors have been determined from spin-zeros in quantum oscillations in magnetostriction arising from orbits on the lenses in Mo, and from harmonic ratios of oscillations due to the zone 7 ellipsoids in Os. The Mo results are in qualitative disagreement with results of LMTO calculations; a possible explanation of the failure of the theory is proposed. The Os results are in good agreement with theoretical calculations of g factors and exchange-correlation enhancement.

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 Mass Spectrum of Mesons via the WKB Approximation Method

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Ekwevugbe Omugbe ◽  
Omosede E. Osafile ◽  
Michael C. Onyeaju
Keyword(s):  
Approximation Method ◽  
Mass Spectra ◽  
Turning Point ◽  
Approximation Scheme ◽  
Wkb Approximation ◽  
Quadratic Potential ◽  
Energy Eigenvalues ◽  
Type Approximation ◽  
Special Cases ◽  
Good Agreement

In this paper, we demonstrated that the multiple turning point problems within the framework of the Wentzel-Kramers-Brillouin (WKB) approximation method can be reduced to two turning point one for a nonsymmetric potential function by using an appropriate Pekeris-type approximation scheme. We solved the Schrödinger equation with the Killingbeck potential plus an inversely quadratic potential (KPIQP) function. The special cases of the modeled potential are discussed. We obtained the energy eigenvalues and the mass spectra of the heavy QQ¯ and heavy-light Qq¯ mesons systems. The results in this present work are in good agreement with the results obtained by other analytical methods and available experimental data in the literature.

PSEUDOSPIN SYMMETRY IN TRIGONOMETRIC PÖSCHL–TELLER POTENTIAL

2012 ◽  
Vol 21 (06) ◽  
pp. 1250060 ◽  
Author(s):  
NURAY CANDEMIR
Keyword(s):  
Dirac Equation ◽  
Bound States ◽  
Analytical Formula ◽  
Pseudospin Symmetry ◽  
Wave Functions ◽  
Symmetry Condition ◽  
Energy Eigenvalues ◽  
Wave Solutions ◽  
Energy Bound ◽  
Nu Method

We investigated the analytical [Formula: see text]-wave solutions of Dirac equation for trigonometric Pöschl–Teller (PT) potential under the pseudospin symmetry condition. The energy eigenvalues equation and corresponding wave functions are obtained by using the Nikiforov–Uvarov (NU) method. The energy bound states are also calculated numerically.

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