Quark-antiquark bound state in momentum-helicity representation

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In this paper, we solve the bound state problem for the Varshni-Hellmann potential via a useful technique. In our technique, we obtain the bound state solution of the Schrödinger equation for the Varshni-Hellmann potential via ansatz method. We obtain the energy eigenvalues and the corresponding eigenfunctions. Also, the behavior of the energy spectra for both the ground and the excited state of the two body systems is illustrated graphically. The similarity of our results to the accurate numerical values is indicative of the efficiency of our technique.

Section: Formulation Of the Approachmentioning

confidence: 99%

Determination of the Energy Eigenvalues of the Varshni-Hellmann Potential

Tazimi

2024

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“…where V denotes the quark-antiquark interaction, m is mass of the quark or antiquark and |Φ Mj j is the meson bound state with the total angular momentum j. M j is projection of the total angular momentum j along the quantization axis. The integral form of this equation in the momentum-helicity basis states is written as [3]:…”

Section: Lippmann-schwinger Equation In Momentum-helicity Basis Statesmentioning

confidence: 99%

“…where Ψ lSj (p) is the partial wave component of the wave function which is connected to the momentum-helicity component of the wave function as [3]:…”

Section: Mj Jmentioning

confidence: 99%

Charmonium Mass Spectrum with Spin-Dependent Interaction in Momentum-Helicity Space

Radin

2017

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In this paper we have solved the nonrelativistic form of the Lippmann-Schwinger equation in the momentum-helicity space by inserting a spin-dependent quark-antiquark potential model numerically. To this end, we have used the momentum-helicity basis states for describing a nonrelativistic reduction of one gluon exchange potential. Then we have calculated the mass spectrum of the charmonium ψ(cc), and finally we have compared the results with the other theoretical results and experimental data.

“…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].…”

Section: Introductionmentioning

confidence: 99%

Investigation of Baryons in the Hypercentral Quark Model

Tazimi

Alavijeh

2021

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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.