The theory of quark and gluon interactions

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.

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 J^(P) =3/2^(+). The obtained results are in good agreement with experimental data and those of other works.

Ground-State Masses and Magnetic Moments of Heavy Baryons

Chinese Physics C 再度入选“中国最具国际影响力学术期刊”

Excited-state masses of the strange singly charmed baryons are calculated using the nonrelativistic approach of the hypercentral constituent quark model. The hyper-Coulomb plus screened potential is used as a confinement potential with the first-order correction. The spin–spin, spin–orbit and spin–tensor interaction terms are included perturbatively. Our calculated masses are allowed to construct the Regge trajectories in both $$(n_r, M^2)$$ and $$(J, M^2)$$ planes. The mass spectra and the Regge trajectories study predict the spin–parity of $$\varXi {_c(2970)^{+/0}}$$, $$\varXi {_c(3080)^{+/0}}$$, $$\varXi {_c(3123)^+}$$, $$\varOmega {_c}(3000)^0$$ and $$\varOmega {_c}(3119)^0$$ baryons. Moreover, the strong one-pion decay rates of the isodoublet states of $$\varXi {_c(2645)}$$, $$\varXi {_c(2790)}$$ and $$\varXi {_c(2815)}$$ are analyzed in the framework of heavy hadron chiral perturbation theory. Also, the ground-state magnetic moments and the radiative decay rates based on the transition magnetic moments are calculated in the framework of the constituent quark model.

Spectrum of strange singly charmed baryons in the constituent quark model

In this work, we study the spin and flavor dependent SU(6) violations in the strange and nonstrange baryons spectrum using a simple approach based on the Gürsey Radicati mass formula (GR). The average energy value of each SU(6) multiplet is described using the SU(6) invariant interaction given by a hypercentral potential. In this paper the hypercentral potential is regarded as a combination of the Coulombic-like term plus a linear confining term and we have added the harmonic oscillator potential. In fact, we have built up a potential scheme for the internal baryon structure which has three-body forces among three quarks. The results of our model (the combination of our proposed hypercentral Potential and generalized GR mass formula to description of the spectrum) show that the strange and nonstrange baryons spectrum are, in general, fairly well reproduced. The overall good description of the spectrum which we obtain shows that our model can also be used to give a fair description of the energies of the excited multiplets at least up to 2 GeV and negative-parity resonance. Moreover, we have shown that our model reproduces the position of the Roper resonances of the nucleon.

http://inspirehep.net/record/918085/files/v42p1247.pdf

Spectrum of strange and nonstrange baryons by using generalized guersey radicati mass formula and hypercentral potential

Since the doubly heavy baryons masses are experimentally unknown (except and ), we present the ground state masses and the positive and negative parity excited state masses of doubly heavy baryons. For this purpose, we have solved the six-dimensional hyperradial Schrodinger equation analytically for three particles under the hypercentral potential by using the ansatz approach. In this paper, the hypercentral potential is regarded as a combination of the color Coulomb plus linear confining term and the six-dimensional harmonic oscillator potential. We also added the first-order correction and the spin-dependent part contains three types of interaction terms (the spin-spin term, spin-orbit term, and tensor term) to the hypercentral potential. Our obtained masses for the radial excited states and orbital excited states of , , , , , and systems are compared with other theoretical reports, which could be a beneficial tool for the interpretation of experimentally unknown doubly heavy baryons spectrum.

/pdf/a-new-model-for-calculating-the-ground-and-excited-states-3wr75cmrm6.pdf

A New Model for Calculating the Ground and Excited States Masses Spectra of Doubly Heavy Baryons

The spectrum of ground state and excited baryons (N, Δ, Λ, Σ, , and Ω particles) has been investigated by using nonrelativistic quantum mechanics under the Killingbeck plus isotonic oscillator potentials. Using the Jacobi coordinates, anzast method, and generalized Gursey Radicati (GR) mass formula the three-body-wave equation is solved to calculate the different states of the considered baryons. A comparison between our calculations and the available experimental data shows that the position of the Roper resonances of the nucleon, the ground states, and the excited multiplets up to three GeV are in general well reproduced. Also one can conclude that the interaction between the quark constituents of baryon resonances could be described adequately by using the combination of Killingbeck and isotonic oscillator potentials form.

/pdf/a-new-method-for-obtaining-the-baryons-mass-under-the-2ue8i9galg.pdf

A New Method for Obtaining the Baryons Mass under the Killingbeck Plus Isotonic Oscillator Potentials

In this study, since the doubly heavy baryons masses are experimentally unknown (except and ), we present the ground state masses and the positive and negative parity excited state masses of doubly heavy baryons. For this purpose, we have solved the six-dimensional hyperradial Schrodinger equation analytically for three particles under the hypercentral potential by using the ansatz approach. In this paper the hypercentral potential is regarded as a combination of the color Coulomb plus linear confining term and the six-dimensional harmonic oscillator potential. We also added the first order correction and the spin-dependent part contains three types of interaction terms (the spin-spin term, spin-orbit term and tensor term) to the hypercentral potential. Our obtained masses for the radial excited states and orbital excited states of , , , , and systems are compared with other theoretical reports, which could be a beneficial tool for the interpretation of experimentally unknown doubly heavy baryons spectrum.

In this work, the spectrum of ground state and excited baryons (N, {\Delta}, , , and {\Omega} particles) has been investigated by using a non-relativistic quantum mechanics under the Killingbeck plus isotonic oscillator potentials. Using the Jacobi-coordinates, anzast method and generalized Gursey Radicati (GR) mass formula the three body wave equation is solved to calculate the different states of the considered baryons. A comparison between our calculations and the available experimental data shows that the position of the Roper resonances of the nucleon, the ground states and the excited multiplets up to three GeV are in general well reproduced. Also one can conclude that; the interaction between the quark constituents of baryon resonances could be described adequately by using the combination of Killingbeck and isotonic oscillator potentials form.

Nasrin Salehi

Papers

Spectrum of strange and nonstrange baryons by using generalized guersey radicati mass formula and hypercentral potential

A New Model for Calculating the Ground and Excited States Masses Spectra of Doubly Heavy Baryons

A New Method for Obtaining the Baryons Mass under the Killingbeck Plus Isotonic Oscillator Potentials

A New Model for Calculating the Ground and Excited States Masses Spectra of Doubly Heavy Baryons

A New Method for Obtaining the Baryons Mass under the Killingbeck Plus Isotonic Oscillator Potentials