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We present an alternative and simple method for the exact solution of the Klein-Gordon equation in the presence of the non-central equal scalar and vector potentials by using Nikiforov-Uvarov (NU) method. The exact bound state energy…

Quantum Physics · Physics 2007-05-23 Fevziye Yasuk , Aysen Durmus , Ismail Boztosun

In this work, the approximate bound state solutions of the fractional Schr\"odinger equation under a spin-spin-dependent Cornell potential are obtained via the convectional Nikiforov-Uvarov approach. The energy spectra are applied to obtain…

High Energy Physics - Phenomenology · Physics 2023-08-31 M. Abu-Shady , E. Omugbe , E. P. Inyang

The radial part of the Klein-Gordon equation for the Woods-Saxon potential is solved. In our calculations, we have applied the Nikiforov-Uvarov method by using the Pekeris approximation to the centrifugal potential for any $l$ states. The…

Mathematical Physics · Physics 2015-05-14 V. H. Badalov , H. I. Ahmadov , S. V. Badalov

We study heavy hadron spectroscopy near heavy meson thresholds. We employ heavy pseudoscalar meson P and heavy vector meson P* as effective degrees of freedom and consider meson exchange potentials between them. All possible composite…

High Energy Physics - Phenomenology · Physics 2015-06-11 Shunsuke Ohkoda , Y. Yamaguchi , S. Yasui , K. Sudoh , A. Hosaka

Within the quark model and hyperspherical method, the bound states of four heavy quarks and antiquarks (tetraquarks) are investigated. In hyperradial approximation, the Schroedinger equation is reduced to a one-dimensional equation after…

High Energy Physics - Phenomenology · Physics 2025-09-16 F. A. Martynenko , A. V. Eskin , A. P. Martynenko

Approximate bound state solutions of the Dirac equation with -deformed Woods-Saxon plus a new generalized ring-shaped potential are obtained for any arbitrary L-state. The energy eigenvalue equation and corresponding two-component wave…

Nuclear Theory · Physics 2013-08-02 Sameer M. Ikhdair , Majid Hamzavi

A method is described for solving relativistic quasi-potential equations in configuration space. The Blankenbecler-Sugar-Logunov-Tavkhelidze and an equal-time equation, both relativistic covariant two-body equations containing the full…

Nuclear Theory · Physics 2007-05-23 P. C. Tiemeijer , J. A. Tjon

The effect of an extended Cornell potential on mass spectra of heavy and heavy-light mesons is studied. The Cornell potential is extended to include quadratic potential and inverse quadratic potential. The N-radial Schrodinger equation is…

High Energy Physics - Phenomenology · Physics 2019-08-27 M. Abu-shady , H. M. Fath-Allah

In this paper we revisited phenomenological potentials. We studied S-wave heavy quarkonium spectra by two potential models. The first one is power potential and the second one is logarithmic potential. We calculated spin averaged masses,…

High Energy Physics - Phenomenology · Physics 2018-11-27 Halil Mutuk

We investigate complex PT and non-PT-symmetric forms of the generalized Woods- Saxon potential. We also look for exact solutions of the Schrodinger equation for the PT and/or non-PT-symmetric potentials of the kind mentioned above.…

Quantum Physics · Physics 2007-05-23 Cuneyt Berkdemir , Ayse Berkdemir , Ramazan Sever

We use the quark potential model to calculate the mass spectrum of the S-wave fully heavy tetraquark systems with different flavors, including the $ bc\bar b\bar c, bb\bar c\bar c, cc\bar c\bar b $ and $ bb\bar b\bar c $ systems. We employ…

High Energy Physics - Phenomenology · Physics 2024-11-22 Wei-Lin Wu , Yao Ma , Yan-Ke Chen , Lu Meng , Shi-Lin Zhu

In the framework of a nonrelativistic chiral quark model, we continue to study the mass spectra of the fully-heavy $bb\bar{c}\bar{c}$ and $bc\bar{b}\bar{c}$ tetraquarks. In the present calculations, two structures, meson-meson…

High Energy Physics - Phenomenology · Physics 2019-11-20 Xiaoyun Chen

As we all known that non-relativistic or semi-relativistic constituent quark models can describe a large number of the meson sand baryon properties with surprising accuracy. In this work, we studied Killingbeck potential by using WKB…

High Energy Physics - Phenomenology · Physics 2022-05-03 Lhamo chosto , Ya-rong Wang , Zhi-bin Gao , Cheng-qun Pang , Hao Chen , Yu-Long Kang

We obtain the bound-state solutions of the radial Schr\"odinger equation (SE) with the shifted Deng-Fan (sDF) oscillator potential in the frame of the Nikiforov-Uvarov (NU) method and employing Pekeris-type approximation to deal with the…

Quantum Physics · Physics 2013-01-04 Majid Hamzavi , Sameer M. Ikhdair , Karl-Erik Thylwe

The method reducing the solution of the Schroedinger equation for several types of power potentials to the solution of the eigenvalue problem for the infinite system of algebraic equations is developed. The finite truncation of this system…

High Energy Physics - Phenomenology · Physics 2014-11-17 R. N. Faustov , V. O. Galkin , A. V. Tatarintsev , A. S. Vshivtsev

Bound states of heavy $\bar{q}q$ quarks are reviewed within the context of QCD. First of all, we consider the calculations which can be performed {\sl ab initio}, which includes $\bar{t}t$ with principal quantum number $n$ up to four,…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. J. Yndurain

In this paper, we solve the D-dimensional Schr\"odinger equation with hyperbolic Poschl-Teller potential plus a generalized ring-shaped potential. After the separation of variable in the hyperspherical coordinate. We used Nikiforov-Uvarov…

Quantum Physics · Physics 2017-11-17 Ibsal A. Assi , Akpan N. Ikot , E. O. Chukwuocha

Approximate bound state solutions of the Dirac equation with the Hulth\'en plus a new generalized ring-shaped (RS) potential are obtained for any arbitrary -state. The energy eigenvalue equation and the corresponding two-component wave…

Quantum Physics · Physics 2013-08-01 Sameer M. Ikhdair , Majid Hamzavi

We solve the relativistic equations(Klein-Gordon and Dirac equation) via the conventional Nikiforov-Uvarov method. In order to overcome the centrifugal barrier, we employed the well-known Greene and Aldrich approximation scheme. The…

Quantum Physics · Physics 2019-09-18 P. O. Okoi , C. O. Edet , T. O. Magu

In this manuscript, we investigate the exact bound state solution of the Klein-Gordon equation for an energy-dependent Coulomb-like vector plus scalar potential energies. To the best of our knowledge, this problem is examined in literature…

Quantum Physics · Physics 2021-02-18 B. C. Lütfüoğlu , A. N Ikot , M. Karakoc , G. T. Osobonye , A. T. Ngiangia , O. Bayrak
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