Hypercentral Approach Research Articles

Mass spectra and transition magnetic moments of low lying charmed baryons in a quark model

Excited state mass spectra of the low lying single charmed baryons with nonstrangeness have been calculated in a hypercentral approach. The six-dimensional hyperradial Schrödinger equation is solved by applying a simple variational method. We extend our scheme to predict the magnetic moments and the [Formula: see text] transition magnetic moments of [Formula: see text] and [Formula: see text] state baryons. A comparison of our results with the experimental data and predictions obtained in recent models is also presented.

Study of Electromagnetic Properties of Light Baryons in the Hypercentral Approach

Light flavour baryons are studied in a non-relativistic potential model with colour Coulomb plus linear confinement potential using a simple variational method. The ground-state masses and magnetic moments of the light baryons are computed using a spin- and isospin-dependent potential. We extend our scheme to predict the transition magnetic moments of $B_{(J^P={3/2}^+)} \rightarrow B_{(J^P={1/2}^+)}\gamma$ processes. We also compute the radiative decay widths and branching ratios of light baryons. A comparison of our results with those of other works and experimental data is also presented.

Study of Heavy Strange Baryons in a Hypercentral Quark Model

In this work, we study the properties of the heavy baryons with strangeness employing a constituent quark model in the hypercentral approach. The potential model considers the interactions arising the one-gluon exchange, Goldstone boson exchange and confinement, aspects of underlying theory, quantum chromodynamics (QCD). By solving three-body Schrodinger equation of baryonic system, we obtain the ground as well as the corresponding energy eigenvalues of the system. Using the obtained energies, we calculate the baryon spectrum. We extend our scheme to predict the radiative decay width of the charm baryons. A comparison of our results with those of other works and experimental data is also presented.

Study of baryon resonance spectrum in a chiral quark model

We investigate the structure of light baryon resonances in the framework of constituent quark model in the non-relativistic limit. The full Hamiltonian used in the investigation has confining, one-gluon-exchange and chiral interaction terms. By considering this combination of potentials in the hypercentral approach we obtain the baryon resonance masses which are in a good agreement with the experimental measurements. The magnetic moments of light baryons are also calculated.

Systematic study of baryons in a three-body quark model

We investigated the structure of baryons within a three-body quark model based on hypercentral approach. We considered an SU(6)-invariant potential consisting of the well-known “Coulomb-plus-linear” potential plus some multipole interactions as V (x) ∝ x−n with n > 2. Then, through an analytical solution, we obtained the energy eigenvalues and eigenfunctions of the three-body problem and evaluated some observables such as the mass spectrum of light baryons and both the electromagnetic elastic form factors, and the charge radii of nucleons. We compared our results with the experimental data and showed that the present model provides a good description of the observed resonances.

Investigation of light baryons in a three-body quark model

We present a three-body quark model based on hypercentral approach for investigating the internal structure of light baryons. The analytically obtained energy eigenvalues and eigenfunctions of the three-body problem have been used in the calculations of the mass spectrum of light baryons and electromagnetic elastic form factors of nucleon. The magnetic moments and charge radii of nucleon have also been calculated. We have compared the evaluated observables with experimental data and it has been shown that the present model provides a good description of the observed resonances.

Investigation of light baryons in a simple analytical treatment

We present a simple analytical solution of three-quark problem for investigating the mass spectrum of light baryons. We use the well-known “Coulombic-plus-linear” potential plus spin and isospin exchange interactions to reproduce the hyperfine structure of the baryon. Performing calculations in hypercentral approach without any perturbative approximation, we obtain the spin- and isospin-dependent energy levels and eigenfunctions for a three-quark system. Nevertheless, the description of the baryon spectrum in our model is comparable with the experimental spectrum.

Analytical Solution of Relativistic Few-Body Bound Systems with a Generalized Yukawa Potential

We have investigated in this paper the few-body bound systems in a simple semi-relativistic scheme. For this aim, we introduced a spin independent relativistic description for a few-identical body system by presenting the analytical solution of few-particle Klein–Gordon equation. Performing calculations in D-dimensional configuration on the basis of the hypercentral approach, we reduced the few-body Klein–Gordon equation to a Schrodinger-like form. This equation is solved by using the Nikiforov–Uvarov method, through which the energy equations and eigenfunctions for a few-body bound system are obtained. We used the spin- and isospin-independent generalized Yukawa potential in our calculations, and the dependence of the few-body binding energies on the potential parameters has been investigated.

Mass Spectrum of Baryons in a Relativistic Hypercentral Constituent Quark Model

We have investigated the light and strange baryons as a relativistic three-body bound system. Inspired by lattice QCD calculations, we treated the baryons as a spin-independent three-quark system. For this purpose we introduced a spin independent relativistic description for the SU (6) invariant part of the spectrum by presenting the analytical solution of the three-particle Klein-Gordon equation. We carried out calculations within the constituent quark model based on a hypercentral approach, which takes into account three-body force effects and standard two-body potential contributions. Herewith the average energy values of the nonstrange and strange resonances are reproduced. Then we used the generalized Gursey-Radicati mass formula as a SU (6) breaking interaction to describe the splittings within the SU (6)-multiplets and the hyperfine structure of the baryon. The considered SU (6)-invariant potential is the well-known ＂Coulomb-plus-linear＂ potential. The resulting description of the baryon spectrum is fairly good and comparable with the experimental spectrum.

Relativistic three-body quark model of light baryons based on hypercentral approach

In this paper, we have treated the light baryons as a relativistic three-body bound system. Inspired by lattice QCD calculations, we treated baryons as a spin-independent three-quark system within a relativistic three-quark model based on the three-particle Klein–Gordon equation. We presented the analytical solution of three-body Klein–Gordon equation with employing the constituent quark model based on a hypercentral approach through which two- and three-body forces are taken into account. Herewith the average energy values of the up, down and strange quarks containing multiplets are reproduced. To describe the hyperfine structure of the baryon, the splittings within the SU(6)-multiplets are produced by the generalized Gürsey Radicati mass formula. The considered SU(6)-invariant potential is popular "Coulomb-plus-linear" potential and the strange and non-strange baryons spectra are in general well reproduced.

Ground-state masses and magnetic moments of heavy baryons

In this work, we study single, double and triple heavy-flavor baryons using the hypercentral approach in the framework of the non-relativistic quark model. Considering two different confining potentials and an improved form of the hyperfine interaction, we calculate the ground-state masses of heavy baryons and also the ground-state magnetic moments of single charm and beauty baryons with JP = 3/2+. The obtained results are in good agreement with experimental data and those of other works.

Study of Charmed and Bottom Baryons in a Variational Approach and Chiral Interactions

Models have been widely used to study charmed and bottom baryons. In this work using the confining, one gluon exchange and Goldstone boson exchange terms as inter-quark interactions, we study the heavy flavour baryon spectrum in the framework of the constituent quark model. We use a variational method to solve the non-relativistic three-body problem for baryons in the hypercentral approach. The masses of heavy baryons containing one, two, and three heavy flavour quarks are found to be in accordance with the existing experimental values or with other theoretical predictions. The magnetic moments of single heavy baryons with J^p=3/2^+ are also obtained.

Single charm and beauty baryon masses in the hypercentral approach

Heavy flavour baryons containing one charm (beauty) quark with light flavour combinations are studied using the hypercentral approach. The considered potential is a combination of Coulombic, linear confining and harmonic oscillator terms. An improved form of the hyperfine interaction and isospin-dependent quark potential is introduced. The ground-state masses ( \( J^p=1/2^+\) and \( 3/2^+\) of heavy baryons are computed. Also the magnetic moments of heavy baryons with \( J^p=3/2^+\) using the effective mass of the confined quarks are computed. The obtained results are close to the ones obtained in experiments or in the other works.

MASSES OF CHARM AND BEAUTY BARYONS IN THE CONSTITUENT QUARK MODEL

The masses of the ground state heavy baryons are studied using the hypercentral approach. The considered potential is a combination of Coulombic, linear confining and harmonic oscillator terms. An improved form of the hyperfine interaction and isospin dependent quark potential is introduced. By solving the Schrödinger equation for three particles system, we calculate the ground state masses of the baryons containing one, two and three heavy quarks. The obtained results are very close to the ones obtained in experiments or in the other works.

The Heavy Baryon Masses and Spin-Isospin Dependence

Heavy flavour baryons containing one charm (beauty) quark with light flavour combinations are studied using the hypercentral approach. The considered potential is a combination of Coulombic, linear confining and harmonic oscillator terms. An improved form of the hyperfine interaction and isospin dependent quark potential is introduced. The ground state masses of heavy baryons are computed. Also the magnetic moments of heavy baryons are computed using the effective mass of the confined quarks. The obtained results are very close to the ones obtained in experiments or in other works.

Masses and magnetic moments of heavy flavour baryons in hyper central model

We employ the hyper central approach to study the masses and magnetic momentsof the baryons constituting single charm and beauty quark. The confinement potential isassumed in the hyper central co-ordinates of the coulomb plus power potential form.

Hypercentral constituent quark model and isospin dependence

The constituent quark model based on a hypercentral approach takes into account three-body force effects and standard two-body potential contributions. The quark potential contains a hypercentral interaction, to which a hyperfine term is added. While the hypercentral potential supplies good values for the centroid energies of the resonance multiplets and a realistic set of quark wave functions, the hyperfine splittings are sometimes not sufficient to account for the observed masses. In this work we have introduced an improved form of the hyperfine interaction and an isospin-dependent quark potential. The resulting description of the baryon spectrum is very good, also for the Roper resonance, specially thanks to the flavour-dependent interaction.

A relativistic study of the nucleon helicity amplitudes

We perform a calculation of the relativistic transition form factors for the electromagnetic excitation of the nucleon resonances. We use as input the 3-quark wave functions obtained in a Constituent Quark Model with three-body forces in the hypercentral approach. With respect to the non relativistic calculations a significant contribution is obtained up to Q2≃ 2 (GeV/c)2. However, the low Q2-behaviour exhibits a lack of strength, which may be connected with the need of taking into account explicitly further degrees of freedom beyond the three constituent quark ones.