The scattering phase shifts of the Hulthén-type potential plus Yukawa potential

Oyewumi, K. J.; Oluwadare, O. J.

doi:10.1140/epjp/i2016-16295-y

Cited by 22 publications

(11 citation statements)

References 38 publications

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“…Table IV is the numerical energy eigenvalues of Hulthén potential for 2p, 3p, 3d, and 4p with = µ = e = 1 and for Z = 1. We compare the results with those obtained with AIM [43], EQR [51], and SUSY [52]. Our results obtained with the Greene-Aldrich approximation scheme for small screening parameters using the NU method are in excellent agreement with those obtained by other methods.…”

Section: Hulthén Potentialsupporting

confidence: 65%

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Arbitrary l-solutions of the Schrödinger equation interacting with Hulthén – Hellmann potential model

2020

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In this study, we obtained bound state solutions of the radial Schrödinger equation by the superposition of Hulthén plus Hellmann potential within the framework of Nikiforov-Uvarov (NU) method for an arbitrary - states. The corresponding normalized wave functions expressed in terms of Jacobi polynomial for a particle exposed to this potential field was also obtained. The numerical energy eigenvalues for different quantum state have been computed. Six special cases are also considered and their energy eigenvalues are obtained. Our results are found to be in good agreement with the results in literature. The behavior of energy in the ground and excited state for different quantum state are studied graphically.

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Section: Hulthén Potentialsupporting

confidence: 65%

“…To obtain the solution of the Schrödinger-like equation given in Eq. 2, we write the radial Schrödinger equation of the form [15,41,43]…”

Section: Arbitrary -Solution To the Radial Schrödinger Equationmentioning

confidence: 99%

Arbitrary l-solutions of the Schrödinger equation interacting with Hulthén – Hellmann potential model

2020

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“…With various methods, Klein-Gordon equation has been studied with some exactly solvable potentials [1][2][3][4][5][6][7][8][9]. The scattering state solutions of various potential models have been a subject of considerable interest in the recent year because it gives an insight to understand atomic structures, electronic configuration of atoms, resonance and many collisions process [9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Scattering states solutions of Klein–Gordon equation with three physically solvable potential models

Oluwadare

Oyewumi

2017

Chinese Journal of Physics

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The scattering state solutions of the Klein-Gordon equation with equal scalar and vector Varshni, Hellmann and Varshni-Shukla potentials for any arbitrary angular momentum quantum number are investigated within the framework of the functional analytical method using a suitable approximation. The asymptotic wave functions, approximate scattering phase shifts, normalization constants and bound state energy equations were obtained. The nonrelativistic limits of the scattering phase shifts and the bound states energy equations for the three potentials were also obtained. Our bound states energy equations are in excellent agreement with the available ones in the literature. Our numerical and graphical results indicate the dependence of phase shifts on the screening parameter , the potential parameter and angular momentum quantum number .

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“…the screened electrostatic effect [31]. This behaviour of electrostatic potential can be described as the Hulthen type potential which is widely used in nuclear, atomic, molecular and solid state physics [31,[42][43][44] and defined as where a is the screening parameter. In this framework, the total emitted protondaughter nucleus interaction potential V (r) shown in Fig.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Systematic study of proton radioactivity based on Gamow-like model with a screened electrostatic barrier

Chen

Cheng

et al. 2019

J. Phys. G: Nucl. Part. Phys.

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In the present work we systematically study the half-lives of proton radioactivity for 51 ≤ Z ≤ 83 nuclei based on the Gamow-like model with a screened electrostatic barrier. In this model there are two parameters while considering the screened electrostatic effect of Coulomb potential with the Hulthen potential i.e. the effective nuclear radius parameter r 0 and the screening parameter a. The calculated results can well reproduce the experimental data. In addition, we extend this model to predict the proton radioactivity half-lives of 16 nuclei in the same region within a factor of 2.94, whose proton radioactivity are energetically allowed or observed but not yet quantified. Meanwhile, studying on the proton radioactivity half-life by a type of universal decay law has been done. The results indicate that the calculated half-lives are linearly dependent on Coulomb parameter with the same orbital angular momentum.Systematic study of proton radioactivity based on Gamow-like model with a screened electrostatic barrier2 been identified between Z = 51 and Z = 83 [5,6]. As an important decay mode of unstable nuclei, proton radioactivity is an useful tool to obtain spectroscopic information because the decaying proton is the unpaired proton not filling its orbit and to extract important information about nuclear structure lying beyond the proton drip line, such as the coupling between bound and unbound nuclear states, the shell structure [7] and so on. There are a lot of models and empirical formulas having been proposed to deal with the proton radioactivity such as the effective interactions of densitydependent M3Y (DDM3Y) [8,9], the single-folding model [9][10][11], the distorted-wave Born approximation [12], Jeukenne, Lejeune and Mahaux (JLM) [8], the generalized liquid-drop model [13-15], the finite-range effective interaction of Yukawa form [16], the R-matrix approach [18], the Skyrme interactions [19], the relativistic density functional theory [20], the phenomenological unified fission model [21, 22], the twopotential approach (TPA) [5] which is also successfully applied to the α decay and cluster radioactivity [23-28], the Coulomb and proximity potential model (CPPM) [29], a simple empirical formula proposed by Delion et al. [30] and so on. For more details about different theories of proton radioactivity, the readers are referenced to Ref. [17].Recently, Budaca et al. used a simple analytical model based on the WKB approximation considering the screened effect of emitted proton-daughter nucleus Coulomb interaction with the Hulthen potential to systematically study the half-lives of proton radioactivity for 41 nuclei with Z ≥ 51 [31]. The results indicate that the difference between the outer turning point radii corresponding to pure Coulomb and Hulthen barriers increases with the proton number Z increasing. Whereas the penetration probability is sensitive to the outer turning point radii. In 2016, Zdeb et al. [32] calculated the half-life of proton radioactivity with a Gamow-like model, which has much deeper ...

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The scattering phase shifts of the Hulthén-type potential plus Yukawa potential

Cited by 22 publications

References 38 publications

Arbitrary l-solutions of the Schrödinger equation interacting with Hulthén – Hellmann potential model

Arbitrary l-solutions of the Schrödinger equation interacting with Hulthén – Hellmann potential model

Scattering states solutions of Klein–Gordon equation with three physically solvable potential models

Systematic study of proton radioactivity based on Gamow-like model with a screened electrostatic barrier

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