spinless Salpeter equation

A Semirelativistic Treatment of Spinless Particles Subject to The Yukawa Potential with Arbitrary Angular Momenta

Tue, 2013-10-29 09:57 — Sameer. Ikhdair

Journal Title, Volume, Page:

International Journal of Modern Physics E Vol. 21, No. 2 1250016 (13 pages)

Year of Publication:

2012

Link:

http://arxiv.org/abs/1203.1747

Authors:

SAMEER M. IKHDAIR

Physics Department, Near East University, Nicosia, North Cyprus, Mersin 10, Turkey

Current Affiliation:

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

[email protected]

MAJID HAMZAVI

Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

M. SOLAIMANI

Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

Preferred Abstract (Original):

We obtain analytical solutions of the two-body spinless Salpeter (SS) equation with Yukawa potential within the conventional approximation scheme to the centrifugal term for any -state. The semi-relativistic bound state energy spectra and the corresponding normalized wave functions are calculated by means of the Nikiforov-Uvarov (NU) method. We also obtain the numerical energy spectrum of the SS equation without any approximation to centrifugal term for the same potential and compare them with the approximated numerical ones obtained from the analytical expressions. It is found that the exact numerical results are in good agreement with the approximated ones for the lower energy states. Special cases are treated like the nonrelativistic limit and the solution for the Coulomb problem.

A Semi-Relativistic Treatment of Spinless Particles Subject to the Nuclear Woods-Saxon Potential

Thu, 2013-09-12 11:14 — Sameer. Ikhdair

Journal Title, Volume, Page:

Chinese Physics C, Vol. 37, No. 6, 063101

Year of Publication:

2013

Link:

http://iopscience.iop.org/1674-1137/37/6/063101

Authors:

S. M. Ikhdair

Physics Department, Near East University, 922022 Nicosia, North Cyprus, Mersin 10, Turkey

Current Affiliation:

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

[email protected]

M. Hamzavi

Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

A. A. Rajabi

Physics Department, Shahrood University of Technology, Shahrood, Iran

Preferred Abstract (Original):

By applying an appropriate Pekeris approximation to deal with the centrifugal term, we present an approximate systematic solution of the two-body spinless Salpeter (SS) equation with the Woods-Saxon interaction potential for an arbitrary l-state. The analytical semi-relativistic bound-state energy eigenvalues and the corresponding wave functions are calculated. Two special cases from our solution are studied: the approximated Schrödinger-Woods-Saxon problem for an arbitrary l-state and the exact s-wave (l=0).

An-Najah Staff