arXiv subjects

A. A. Rajabi

Publications and source records attributed to A. A. Rajabi.

8 recordsLinked to original sources

arXiv2018

Yakubovsky scheme to study the 4- and 5-nucleon systems in the case of alpha-state structure with spin-dependent nucleon-nucleon potentials

In this project, we have investigated the 5-nucleon model system in the picture of the specific alpha-state structure, by extending the Yakubovsky scheme with the inclusion of the spin and isospin degrees of freedom. The Yakubovsky formalism for the 5-nucleon system in the effective alpha-neutron attractive model leads to a set of two coupled equations, based on two relevant alpha-nucleon sub-cluster components. To this regard, by switching off the fifth nucleon interactions, the 5-nucleon Yakubovsky equations can be reduced to a typical 4-nucleon problem. To calculate the 5- and 4-nucleon bound state equations, the coupled equations are projected in the momentum space in terms of the Jacobi momenta. In the calculations two different spin-dependent and one spinindependent nucleon-nucleon potential types are dedicated, such as Afnan-Tang S3, Malfliet-Tjon I/III and Volkov potentials,respectively. The some obtained binding energy differences between the 4-nucleon system in the alpha-state and the 5-nucleon system in the case of alpha-nucleon structure demonstrating the effective interaction between the alpha and an attractive neutron. The obtained results for the effective interaction are consistent either for spin-independent and spin-dependent interactions. Also,the binding energy results are in excellent compatibility with the achieved results by other techniques.

nucl-th↗

arXiv2018

Reply to Comment on "Solution of the Specific Model of Five-body Problem to Investigate the Effective Alpha-Nucleon Interaction in a Partial-Wave analysis"

The present paper is written in response to the comment of M. R. Hadizadeh et. al on our original paper "Solution of the Specific Model of Five-body Problem to Investigate the Effective Alpha-Nucleon Interaction in a Partial-Wave analysis" [Acta Physica Polonica B, 48, 1279 (2017)]. In this paper we present our clarifications and statements on the authors of the comment arguments about of the accuracy of the procedure in solution of simple five- and four-body problems. In this regard our arguments turn out to be very efficient mainly discussed from the authors misunderstanding of the issues discussed in the original paper. In fact, the authors of the comment aims to exaggeratedly show that our paper is entirely incorrect, but our following statements prove that the authors of the comment statements are inimical and often inconsequential.

nucl-th↗

arXiv2014

A New Model for Calculating the Binding Energy of Lithium Nucleus under the Generalized Yukawa Potential and Hellmann Potential

In this paper, the Schrödinger equation for 6-body system is studied. We solved this equation for lithium nucleus by using supersymmetry method with the specific potentials. These potentials are Yukawa potential, the generalized Yukawa potential and Hellmann potential. The results of our model for all calculations show that the ground state binding energy of Lithium nucleus with these potentials are very close to the ones obtained in experiments.

physics.chem-ph↗

arXiv2012

Relativistic symmetries in the Hulthén scalar-vector-tensor interactions

In the presence of spin and pseudospin (p-spin) symmetries, the approximate analytical bound states of the Dirac equation for scalar-vector-tensor Hulthén potentials are obtained with any arbitrary spin-orbit coupling number using the Pekeris approximation. The Hulthén tensor interaction is studied instead of the commonly used Coulomb or linear terms. The generalized parametric Nikiforov-Uvarov (NU) method is used to obtain energy eigenvalues and corresponding wave functions in their closed forms. We show that tensor interaction removes degeneracies between spin and p-spin doublets. Some numerical results are also given.

quant-ph↗

arXiv2012

Tensor coupling and relativistic spin and pseudospin symmetries with the Hellmann potential

The Hellmann potential is a superposition potential that consists of an attractive Coulomb potential and a Yukawa potential. By using the generalized parametric Nikiforov-Uvarov (NU) method, we have studied the approximate analytical solutions of the Dirac equation with the Hellmann potential including a Coulomb-like tensor potential for arbitrary spin-orbit quantum number k under the presence of exact spin and pseudo-spin (p-spin) symmetries. We show that tensor interaction removes degeneracies between spin and pseudospin doublets. As particular cases, we found the energy levels of non-relativistic case and also the pure Coulomb potential energy levels.

quant-ph↗

arXiv2012

Exact S-Wave Solution of the Trigonometric Poschl-Teller Potential

The trigonometric Pöschl-Teller (PT) potential describes the diatomic molecular vibration. By using the Nikiforov-Uvarov (NU) method, we have obtained the exact analytical s-wave solutions of the radial Schrödinger equation (SE) for the trigonometric PT potential. The energy eigenvalues and corresponding eigenfunctions are calculated in closed forms. Some numerical results are presented too.

quant-ph↗

arXiv2012

The Rotation-Vibration Spectrum of Diatomic Molecules with the Tietz-Hua Rotating oscillator

The Tietz-Hua (TH) potential is one of the very best analytical model potentials for the vibrational energy of diatomic molecules. By using the Nikiforov-Uvarov (NU) method, we have obtained the exact analytical s-wave solutions of the radial Schrödinger equation (SE) for the TH potential. The energy eigenvalues and the corresponding eigenfunctions are calculated in closed forms. Some numerical results for diatomic molecules are also presented.

quant-ph↗

arXiv2012

Approximate analytical solution of the Yukawa potential with arbitrary angular momenta

The Yukawa potential is often used to compute bound-state normalizations and energy levels of neutral atoms. By using the generalized parametric Nikiforov-Uvarov (NU) method, we have obtained the approximate analytical solutions of the radial Schrödinger equation (SE) for the Yukawa potential. The energy eigenvalues and corresponding eigenfunctions are calculated in closed forms. Some numerical results are presented and showed that these results are in good agreement with those are obtained previously by other methods. Also, we found the energy levels of the familiar pure Coulomb potential energy levels when the screening parameter of the Yukawa potential goes to zero.

quant-ph↗