The Solutions of the D-dimensional Schrodinger Equation for the PotentialV(r)=ar-6+br-5+cr-4+dr-3+er-2+fr-1

Wahyulianti,; Suparmi, Suparmi; Cari, C.; Anwar, Fuad

doi:10.1088/1742-6596/795/1/012022

Cited by 6 publications

(3 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Various spherically symmetric potentials have been investigated utilized to examine the N-dimensional Schrödinger problem [18,19,20,21,22,23]. The Cornell potential and extended Cornell potential are currently being used to investigate the N-dimensional Schrödinger equation [24,25,26,27,28] employing distinct techniques including the Nikiforov-Uvarov (NU) method [22,26,29,30], power series approach (PST) [31], the asymptotic iteration method (AIM) [34], Pekeris type estimation (PTA) [31,32], and the analytical exact iteration approach (AEIM) [33].…”

Section: Introductionmentioning

confidence: 99%

Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

2019

View full text Add to dashboard Cite

Thermodynamics properties of heavy mesons are calculated within the framework of the N-dimensional radial Schr ̈dinger equation. The Cornell potential is extended by including the quadratic potential plus the inverse of quadratic potential. The energy eigenvalues and the corresponding wave functions are calculated in the N-dimensional space using the Nikiforov-Uvarov (NV) method. The obtained results are applied for calculating the mass of spectra of charmonium, bottomonium, b ̅ and c ̅ mesons. The thermodynamics properties of heavy quarkonia such as, the mean energy, specific heat, free energy, and entropy are calculated. The effect of temperature and the dimensionality number on heavy mesons masses and thermodynamics properties is investigated. The obtained results are improved in comparison with other theoretical approaches and in a good agreement with experimental data. We conclude that the present potential well describes thermodynamic properties in the three-dimensional space and also the higher dimensional space.

show abstract

Section: Introductionmentioning

confidence: 99%

Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

2019

View full text Add to dashboard Cite

show abstract

“…The N-dimensional Schrödinger equation has been studied with different forms of spherically symmetric potentials [28][29][30][31][32][33]. The bound states have quark and anti-quark with using N-dimensional Schrödinger equation has been investigated with the Cornell potential and extended Cornell potential [34][35][36][37][38] with using different methods such as the Nikiforov-Uvarov (NU) method [32,36,[39][40], power series technique (PST) [41], the asymptotic iteration method (AIM) [34], Pekeris type approximation (PTA) [41][42], and the analytical exact iteration method (AEIM) [43][44].…”

Section: -Introductionmentioning

confidence: 99%

Heavy-Light Mesons in the Nonrelativistic Quark Model Using Laplace Transformation Method

Abu‐Shady

Khokha

2018

Advances in High Energy Physics

View full text Add to dashboard Cite

An analytic solution of the N-dimensional radial Schrödinger equation with the mixture of vector and scalar potentials via the Laplace transformation method (LTM) is studied. The present potential is extended to include the spin hyperfine, spin-orbit and tensor interactions. The energy eigenvalues and the corresponding eigenfunctions have been determined in the N-dimensional space. The present results are employed to study the different properties of the heavy-light mesons. The masses of the scalar, vector, pseudoscalar and pseudovector of B, B s , D and D s mesons have been calculated in the three dimensional space. The effect of the dimensional number space is studied on the masses of the heavy-light mesons. We find that the meson mass increases with increasing dimensional space. The decay constants of the pseudoscalar and vector mesons have been computed. In addition, the leptonic decay widths and branching ratio for the B + , D + and D s + mesons have been studied. Therefore, the present method with the present potential gives good results which are in good agreement with experimental data and are improved in comparison with recently theoretical works. 3(NU) method. Abou-Salem [57] has computed the masses and leptonic decay widths of , , , , and cc bb cs bs bu cb numerically using Jacobi method. The strong decays, spectroscopy and radiative transition of heavy-light hadrons have been computed with quark model predictions [58]. The decay constant of heavy-light mesons have been calculated using the field correlation method [59]. The Quasipotential approach the spectroscopy of heavy-light mesons have been investigated with the QCD motivated relativist quark model [60]. The spectroscopy and Regge trajectories of heavy-light mesons have been obtained with Quasi-potential approach [61]. The decay constants of heavy-light vector mesons [62] and heavylight pseudoscalar mesons [63] have been calculated with QCD sum rules. A comparative study has been presented of the mass spectrum and decay properties for the D-meson with the quark-antiquark potential using hydrogeometric and Gaussian wave function [64]. In framework of Dirac formalism the mass spectra of

show abstract

“…Many study about the solution of the Schrodinger equation with anharmonic potentials by using Ansatz method has been done. For example, the study of solution Schrodinger equation with potential V(r)= Ar 2 +br 4 +cr 6 [11], the study of solution Schrodinger equation with potential V(r)= ar 4 [14]). The important part in Ansatz wave function method is to determine the Ansatz wave fuction corresponding to the shape of the anharmonic potential that used.…”

Section: Introductionmentioning

confidence: 99%

The solution of D-dimensional Schrodinger equation for potential V(r)=ar2+br+cr-1+dr-2+er-3+fr-4 by using Ansatz method

Wea

Супармі

Cari

et al. 2017

AIP Conference Proceedings

View full text Add to dashboard Cite

The Solutions of the D-dimensional Schrodinger Equation for the PotentialV(r)=ar^-6+br^-5+cr^-4+dr^-3+er^-2+fr^-1

Cited by 6 publications

References 6 publications

Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

Heavy-Light Mesons in the Nonrelativistic Quark Model Using Laplace Transformation Method

The solution of D-dimensional Schrodinger equation for potential V(r)=ar2+br+cr-1+dr-2+er-3+fr-4 by using Ansatz method

Contact Info

Product

Resources

About