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

The spectrum of ground state and excited baryons (N, Δ, Λ, Σ, Ξ, 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 Gürsey Radicati (GR) mass formula...

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Main Author: Nasrin Salehi
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2016/5054620
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author Nasrin Salehi
author_facet Nasrin Salehi
author_sort Nasrin Salehi
collection DOAJ
description The spectrum of ground state and excited baryons (N, Δ, Λ, Σ, Ξ, 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 Gürsey 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.
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series Advances in High Energy Physics
spelling doaj-art-0fffa2816a75449cb7a3079816f974ae2025-02-03T01:33:23ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/50546205054620A New Method for Obtaining the Baryons Mass under the Killingbeck Plus Isotonic Oscillator PotentialsNasrin Salehi0Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, IranThe spectrum of ground state and excited baryons (N, Δ, Λ, Σ, Ξ, 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 Gürsey 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.http://dx.doi.org/10.1155/2016/5054620
spellingShingle Nasrin Salehi
A New Method for Obtaining the Baryons Mass under the Killingbeck Plus Isotonic Oscillator Potentials
Advances in High Energy Physics
title A New Method for Obtaining the Baryons Mass under the Killingbeck Plus Isotonic Oscillator Potentials
title_full A New Method for Obtaining the Baryons Mass under the Killingbeck Plus Isotonic Oscillator Potentials
title_fullStr A New Method for Obtaining the Baryons Mass under the Killingbeck Plus Isotonic Oscillator Potentials
title_full_unstemmed A New Method for Obtaining the Baryons Mass under the Killingbeck Plus Isotonic Oscillator Potentials
title_short A New Method for Obtaining the Baryons Mass under the Killingbeck Plus Isotonic Oscillator Potentials
title_sort new method for obtaining the baryons mass under the killingbeck plus isotonic oscillator potentials
url http://dx.doi.org/10.1155/2016/5054620
work_keys_str_mv AT nasrinsalehi anewmethodforobtainingthebaryonsmassunderthekillingbeckplusisotonicoscillatorpotentials
AT nasrinsalehi newmethodforobtainingthebaryonsmassunderthekillingbeckplusisotonicoscillatorpotentials