Ground states and excitation spectra of baryons in a non-relativistic model with the anharmonic potential

H. Hassanabadi; A. A. Rajabi

doi:10.1088/1674-1137/37/11/113101

Chinese Physics C> 2013, Vol. 37> Issue(11) : 113101 DOI: 10.1088/1674-1137/37/11/113101

Ground states and excitation spectra of baryons in a non-relativistic model with the anharmonic potential

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Abstract：
In this work the mass spectra for some of the baryon resonances of the particle data group with three and four star status are obtained,and a unified description of the ground states and excitation spectra of baryons are provided in the framework of a non-relativistic potential model. For this goal we have analytically solved the radial Schrödinger equation for three identical interacting particles with the anharmonic potential by using the Ansatz method and then we have calculated the baryon resonances spectrum by using the Gürsey Radicati mass formula (GR) and with generalized Gürsey Radicati mass formula (GGR). The results of our model show that the calculated masses of baryon resonances by using the generalized Gürsey Radicati mass formula are found to be in good agreement with the tabulations of the Particle Data Group. 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 multiples up to 3 GeV mass and negative-parity resonance. Moreover,we have shown that our model reproduces the position of the Roper resonance of the nucleon.

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[1]

Bijker R,Iachello F. Leviatan A. Ann. Phys. (N.Y.),1994,236: 69[2] Aiello M,Ferraris M,Giannini M M et al. Phys. Lett. B,1996,387: 215[3] Dziembowski Z,Fabre de la Ripelle M,Miller Gerald A. Phys. Rev. C,1996,53: R2038[4] Benmerrouche M,Mukhopadhyay N C,ZHANG J F. Phys. Rev. Lett.,1996,77: 4716[5] Chakrabarti B,Bhattacharya A,Mani S et al. Acta Physica Polonica B,2010,41(1): 95-101[6] Isgur N. Karl G. Phys. Rev. D,1978,18: 4187; 1979,19: 2653; 1979,20: 1191[7] Giannini M M. Rep. Prog. Phys.,1991,54: 453[8] Bali Gunnar S et al. Phys. Rev. D,2000,62: 054503[9] Bali Gunnar S. Phys. Rep. 2001,343: 1[10] Alexandrou C,de Forcrand P,Jahn O. Nucl. Phys. Proc. Suppl.,2003,119: 667[11] Ferraris M,Giannini M M,Pizzo M et al. Phys. Lett. B,1995,364: 231[12] Santopinto E,Iachello F,Giannini M M. Eur. Phys. J. A,1998,1: 307[13] Glozman L Y,Riska D O. Phys. Rep.,1996,268: 263[14] Giannini M M,Santopinto E,Vassallo A. Eur. Phys. J. A,2001,12: 447[15] Gürsey F,Radicati L A. Phys. Rev. Lett.,1964,13: 173[16] Giannini M M,Santopinto E,Vassallo A. Eur. Phys. J. A,2005,25: 241-247[17] Salehi N,Rajabi A A. Mod. Phys. Lett. A,2009,24(32): 2631-2637[18] Rajabi A A. Few-Body Sys.,2005,37: 197[19] Hassanabadi H,Rahimov H,Zarrinkamar S. Ann. Phys. (Berlin),2011,523(7): 566[20] Hassanabadi H,Yazarloo B H,Zarrinkamar S et al. Phys. Rev. C,2011,84: 064003[21] Gell-Mann M,Ne'eman Y. The Eightfold Way. New York: W. A. Benjamin,Inc.,1964[22] Khare A,Behra S N. Pramana J. Phys.,1980,14: 327; Bali S et al. Phys. Rev. D,2000,62: 054503[23] Amin D. Phys. Today,1982,35: 35. Phys. Rev. Lett.,1976,36: 323; Murthy M V N. Z. Phys. 1986,31: 81[24] Colemann S. Aspects of Symmetry. Cambridge: Cambridge Univ. Press,1988[25] Salehi N,Rajabi A A,Ghalenovi Z. Chin. J. Phys.,2012,50(1): 28-39[26] Salehi N,Rajabi A A. Phys. Scr.,2012,85: 055101[27] Murthy M V N. Z. Phys.,1986,31: 81[28] Znojil M. J. Math Phys.,1990,31: 108[29] Rajabi A A. Indian J. Pure and Appl. Phys.,2003,l41: 89[30] Rajabi A A,Salehi N. Iranian Journal of Physics Research,2008,8(3): 169-175[31] Hassanabadi H,Rajabi A A. Mod. Phys. Lett. A,2009,24(11-13): 1043-1046[32] Causal R S,Parishes D. Phys. Lett. A,1992,170: 335[33] Causal R S. Annals of Physics,1991,206: 90[34] DONG S H,MA Z Q. Arxiv: preprint quant-ph/9810056[35] DONG S H. Found Phys. Lett.,2002,15(4): 385-395[36] Gradshteyn I S,Ryzhik I M. Table of Integrals. New York: Series and Products,Academic Press,1965[37] Helminen C,Riska D O. Nucl. Phys. A,2002,699: 624[38] Stancu F. Phys. Rev. D,1998,58: 111501; Stancu F,Riska D O. Phys. Lett. B,2003,575: 242[39] Helminen C,Riska D O. Nucl. Phys. A,2002,699: 624[40] Carlson C E,Carone C D,Kwee H J et al. Phys. Lett. B,2004,579: 52[41] Glozman L Y. Phys. Lett. B,2003,575: 18[42] Bijker R,Giannini M M,Santopinto E. Eur. Phys. J. A,2004,22: 319[43] Particle Data Group. J. Phys. G,2010,37: 075021[44] Bellotti F F,Frederico T,Yamashita M T et al. J. Phys. B: At. Mol. Opt. Phys.,2013,46: 055301

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[20]	Ge Liangxiao , Zhuo Yizhong . Non-Relativistic BUU Equation. Chinese Physics C, 1989, 13(S3): 289-302.

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H. Hassanabadi and A. A. Rajabi. Ground states and excitation spectra of baryons in a non-relativistic model with the anharmonic potential[J]. Chinese Physics C, 2013, 37(11): 113101. doi: 10.1088/1674-1137/37/11/113101

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Received: 2013-01-14
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Ground states and excitation spectra of baryons in a non-relativistic model with the anharmonic potential

Received Date: 2013-01-14

Accepted Date: 2013-05-09

Available Online: 2013-11-05

Abstract: In this work the mass spectra for some of the baryon resonances of the particle data group with three and four star status are obtained,and a unified description of the ground states and excitation spectra of baryons are provided in the framework of a non-relativistic potential model. For this goal we have analytically solved the radial Schrödinger equation for three identical interacting particles with the anharmonic potential by using the Ansatz method and then we have calculated the baryon resonances spectrum by using the Gürsey Radicati mass formula (GR) and with generalized Gürsey Radicati mass formula (GGR). The results of our model show that the calculated masses of baryon resonances by using the generalized Gürsey Radicati mass formula are found to be in good agreement with the tabulations of the Particle Data Group. 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 multiples up to 3 GeV mass and negative-parity resonance. Moreover,we have shown that our model reproduces the position of the Roper resonance of the nucleon.

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Ground states and excitation spectra of baryons in a non-relativistic model with the anharmonic potential

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Ground states and excitation spectra of baryons in a non-relativistic model with the anharmonic potential

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