Bound State Solutions of Three-Dimensional Klein-Gordon Equation for Two Model Potentials by NU Method

Tazimi, N.; Ghasempour, A.

doi:10.1155/2020/2541837

Cited by 12 publications

(17 citation statements)

References 32 publications

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“…By using Nikiforov-Uvarov (NU) method (see appendix), we calculate the values for constant parameters α i s, as we calculated these parameters in [26]. They are shown in Table 1.…”

Section: Screened Potentialmentioning

confidence: 99%

“…In our previous works, we solved the Schrödinger equation for different potentials for few-quark systems [22][23][24][25]. In a more recent work, we investigated the relativistic Klein-Gordon equation analytically for the Deng-Fan potential and Hulthen plus Eckart potential under the equal vector and scalar potential conditions [26]. In this paper, we study our three-body system and make use of the hyperspherical coordinates and calculate the parameters of the IWF for some baryons.…”

Section: Introductionmentioning

confidence: 99%

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Investigation of Baryons in the Hypercentral Quark Model

Tazimi

Alavijeh

2021

Advances in High Energy Physics

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In the present study, we consider baryons as three-body bound systems according to the hypercentral constituent quark model in configuration space and solve the three-body Klein-Gordon equation. Then, we analyze perturbative spin-dependent and isospin-dependent interaction effects. To find the analytical solution, we use screened potential and calculate the eigenfunctions and eigenvalues of some baryons. We consider exclusive semileptonic decays of bottom and charm baryons and apply the differential decay width with the Isgur-Wise function and arrive at the rates for some semileptonic baryon decays. The results prove more enhanced compared to recent works and comply well with the experimental data.

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“…By using Nikiforov-Uvarov (NU) method (see appendix), we calculate the values for constant parameters α i s, as we calculated these parameters in [26]. They are shown in Table 1.…”

Section: Screened Potentialmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Investigation of Baryons in the Hypercentral Quark Model

Tazimi

Alavijeh

2021

Advances in High Energy Physics

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“…Many authors have obtained bound state solutions of SE with this potential. For example, Tazimi and Ghasempour [29] used the Nikiforov Uvarov (UN) method to obtain bound state solutions of the three-Dimensional Klein-Gordon equation for two model potentials. Quantization rule was employed by Ikhdair and Abu-Hasna [30] to obtain the solution to the Hulthén potential in arbitrary dimension with a new approximate scheme for the centrifugal term.…”

Section: Introductionmentioning

confidence: 99%

Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model

2021

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Analytical solutions of the N-dimensional Schrödinger equation for the newly proposed Varshni-Hulthén potential are obtained within the framework of Nikiforov-Uvarov method by using Greene-Aldrich approximation scheme to the centrifugal barrier. The numerical energy eigenvalues and the corresponding normalized eigenfunctions are obtained in terms of Jacobi polynomials. Special cases of the potential are equally studied and their numerical energy eigenvalues are in agreement with those obtained previously with other methods. However, the behavior of the energy for the ground state and several excited states is illustrated graphically.

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“…Bu tür differansiyel denklemlerin birçok çözüm tekniği bulunmaktadır. Standart Teknik [21,22], Nikiforov-Uvarov Tekniği [23,24], Asimptotik İterasyon Tekniği [25,26], ve Süpersimetrik Potansiyel Tekniği [27,28], bu tekniklerden birkaçıdır.…”

Section: Introductionunclassified

Frost-Musulin Potansiyelinin Varlığında (1+3) Boyutta Duffin–Kemmer–Petiau Denkleminin l-Dalga Çözümleri

Taş

2021

Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi

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Öz: Bu çalışmada, spin-1 parçacıklar için Frost-Musulin potansiyelinin varlığında (1+3) boyutta Duffin-Kemmer-Petiau denkleminin analitik çözümleri elde edilmiştir. Bu çözümleri elde edebilmek için standart yöntem kullanılmış ve merkezcil terime bir yaklaşım uygulanmıştır. Elde edilen bağıntılar kullanılarak bağlı durum çözümleri Gauss hipergeometrik fonksiyonlar cinsinden ifade edilmiştir. Dalga fonksiyonların sınır koşulları kullanılarak herhangi bir ldurumu için bağlı durum enerji özdeğerlerini veren bağıntı türetilmiştir. Mathematica yazılım paketi kullanılarak herhangi bir l-durumu için bağlı durum enerji değerleri nümerik olarak belirlenmiştir. Ayrıca potansiyel parametrelerinin enerji özdeğerlerine olan etkileri grafiksel ve sayısal olarak incelenmiştir.

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Bound State Solutions of Three-Dimensional Klein-Gordon Equation for Two Model Potentials by NU Method

Cited by 12 publications

References 32 publications

Investigation of Baryons in the Hypercentral Quark Model

Investigation of Baryons in the Hypercentral Quark Model

Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model

Frost-Musulin Potansiyelinin Varlığında (1+3) Boyutta Duffin–Kemmer–Petiau Denkleminin l-Dalga Çözümleri

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