potential model | An-Najah Staff

Nonrelativistic Molecular Models Under External ‎Magnetic and AB Flux Fields

Mon, 2015-02-16 14:54 — Sameer. Ikhdair

Journal Title, Volume, Page:

Annals of Physics Volume 353, February 2015, Pages 282–298

Year of Publication:

2015

Link:

http://www.sciencedirect.com/science/article/pii/S0003491614003376

Authors:

Sameer M. Ikhdair

Department of Physics, Faculty of Science, an-Najah National University, New campus, P. O. Box 7, Nablus, Palestine

Current Affiliation:

Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine

[email protected]

Babatunde J. Falaye

Applied Theoretical Physics Division, Department of Physics, Federal University Lafia, P. M. B. 146, Lafia, Nassarawa State, Nigeria

Majid Hamzavi

Department of Physics, University of Zanjan, Zanjan, Iran

Preferred Abstract (Original):

By using the wave function ansatz method, we study the energy eigenvalues and wave function for any arbitrary m-state in two-dimensional Schrödinger wave equation with various power interaction potentials in constant magnetic and Aharonov–Bohm (AB) flux fields perpendicular to the plane where the interacting particles are confined. We calculate the energy levels of some diatomic molecules in the presence and absence of external magnetic and AB flux fields using different potential models. We found that the effect of the Aharonov–Bohm field is much as it creates a wider shift for m≠0 and its influence on m=0 states is found to be greater than that of the magnetic field. To show the accuracy of the present model, a comparison is made with those ones obtained in the absence of external fields. An extension to 3-dimensional quantum system have also been presented.

Mass Spectra of Heavy Quarkonia and Bc Decay Constant for Static Scalar-Vector Interactions with Relativistic Kinematics

Wed, 2013-09-25 12:57 — Sameer. Ikhdair

Journal Title, Volume, Page:

Int. J. Mod. Phys. A 20, 6509

Year of Publication:

2005

Link:

http://www.worldscientific.com/doi/abs/10.1142/S0217751X05021294

Authors:

Sameer M. Ikhdair

Department of Electrical Engineering, Near East University, Nicosia, North Cyprus, Mersin 10, Turkey

Current Affiliation:

Department of Physics, An-Najah National University, Nablus, Palestine

[email protected]

Ramazan Sever

Department of Physics, Middle East Technical University, Ankara, Turkey

Preferred Abstract (Original):

We reproduce masses of the self-conjugate and non-self-conjugate mesons in the context of the spinless Salpeter equation taking into account the relativistic kinematics and the quark spins. The hyperfine splittings for the 2S charmonium and 1S bottomonium are also calculated. Further, the pseudoscalar and vector decay constants of the B_c meson and the unperturbed radial wave function at the origin are also calculated. We have obtained a local equation with a complete relativistic corrections to a class of three attractive static interaction potentials of the general form V(r) = -Ar^-β + κr^β + V₀, with β = 1, 1/2, 3/4 decomposed into scalar and vector parts in the form V_V(r) = -Ar^-β + (1-∊)κr^β and V_S(r) = ∊κr^β + V₀; where 0≤∊≤1. We have used the shifted large-N-expansion technique (SLNET) to solve the reduced equation for the scalar (∊ = 1), equal mixture of scalar-vector (∊ = 1/2), and vector (∊ = 0) confinement interaction kernels. The energy eigenvalues are carried out up to the third order approximation.

Bc and Heavy Meson Spectroscopy in the Local Approximation of the SCHRÖDINGER Equation with Relativistic Kinematics

Mon, 2013-09-23 14:13 — Sameer. Ikhdair

Journal Title, Volume, Page:

International Journal of Modern Physics A, Volume 20, Issue 17, pp. 4035-4054

Year of Publication:

2005

Link:

http://adsabs.harvard.edu/abs/2005IJMPA..20.4035I

Authors:

Sameer M. Ikhdair

Department of Electrical and Electronics Engineering, Near East University, Nicosia, North Cyprus, Mersin 10, Turkey

Current Affiliation:

Department of Physics, An-Najah National University, Nablus, Palestine

[email protected]

Ramazan Sever

Department of Physics, Middle East Technical University, Ankara, Turkey

Preferred Abstract (Original):

We present bound state masses of the self-conjugate and non-self-conjugate mesons in the context of the Schrödinger equation taking into account the relativistic kinematics and the quark spins. We apply the usual interaction by adding the spin dependent correction. The hyperfine splittings for the 2S charmonium and 1S bottomonium are calculated. The pseudoscalar and vector decay constants of the B_c meson and the unperturbed radial wave function at the origin are also calculated. We have obtained a local equation with a complete relativistic corrections to a class of three attractive static interaction potentials of the general form V(r) = -Ar^-β+κr^β+V₀, with β = 1, 1/2, 3/4 which can also be decomposed into scalar and vector parts in the form V_V(r) = -Ar^-β+(1-ɛ)κr^β and V_S(r) = ɛκr^β+V₀ where 0≤ɛ≤1. The energy eigenvalues are carried out up to the third order approximation using the shifted large-N-expansion technique.