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

Abstract
HTML
Reference
Related

PDF

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.

References

[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

[1]	V. R. Debastiani;F S. Navarra . A non-relativistic model for the ${[cc][\bar{c}\bar{c}]}$ tetraquark. Chinese Physics C, 2019, df87c41e-622f-49a7-b081-5c584df157aa(11): 13105-.
[2]	Hai-hong Li , Feng-lan Shao , Jun Song . Multiplicity fluctuation and correlation of mesons and baryons in ultra-relativistic heavy-ion collisions at the LHC. Chinese Physics C, 2018, 42(1): 014102. doi: 10.1088/1674-1137/42/1/014102
[3]	Xiao-Dong Sun , Xi-Jun Wu , Bo Zheng , Dong Xiang , Ping Guo , Xiao-Hua Li . Systematic study of α preformation probability of nuclear isomeric and ground states. Chinese Physics C, 2017, 41(1): 014102. doi: 10.1088/1674-1137/41/1/014102
[4]	Zhen-Yang Wang , Jing-Juan Qi , Xin-Heng Guo , Ke-Wei Wei . Spectra of charmed and bottom baryons with hyperfine interaction. Chinese Physics C, 2017, 41(9): 093103. doi: 10.1088/1674-1137/41/9/093103
[5]	XIE Wei , WANG Ping . Unified Hamiltonian model for mesons and baryons. Chinese Physics C, 2015, 39(5): 053102. doi: 10.1088/1674-1137/39/5/053102
[6]	Noora B . Analysis of the energy spectra of ground states of deformed nuclei in the rare-earth region. Chinese Physics C, 2015, 39(4): 044101. doi: 10.1088/1674-1137/39/4/044101
[7]	TIAN Wei-Zhao , CAO Lu , YANG You-Chang , CHEN Hong . Bottomonium states versus recent experimental observations in the QCD-inspired potential model. Chinese Physics C, 2013, 37(8): 083101. doi: 10.1088/1674-1137/37/8/083101
[8]	M. R. Abdi . Relativistic particle scattering states with tensor potential and spatially-dependent mass. Chinese Physics C, 2013, 37(5): 053103. doi: 10.1088/1674-1137/37/5/053103
[9]	CHEN Shao-Na , PING Jia-Lun . Radial excitation states of η and η' in the chiral quark model. Chinese Physics C, 2012, 36(8): 681-690. doi: 10.1088/1674-1137/36/8/001
[10]	Bhaghyesh , K. B. Vijaya Kumar , Antony Prakash Monteiro . Heavy quarkonia spectra and their decays in a relativistic quark model. Chinese Physics C, 2011, 35(11): 997-1003. doi: 10.1088/1674-1137/35/11/003
[11]	B. Patel , P. C. Vinodkumar . Quark-diquark model description for double charm baryons. Chinese Physics C, 2010, 34(9): 1399-1401. doi: 10.1088/1674-1137/34/9/053
[12]	PING Jia-Lun , DENG Cheng-Rong , HUANG Hong-Xia , WANG Fan . Quark model study of multiquark states. Chinese Physics C, 2009, 33(12): 1285-1290. doi: 10.1088/1674-1137/33/12/039
[13]	Falih H. Al-Khudair . Low-lying states and isospin excitation in the Ge isotopes. Chinese Physics C, 2009, 33(7): 538-546. doi: 10.1088/1674-1137/33/7/007
[14]	Khudair Falih , ZHANG Jin-Fu , BAI Hong-Bo . Mixed symmetry states and isospin excitation in the N=Z nucleus ²⁸Si. Chinese Physics C, 2009, 33(S1): 46-48. doi: 10.1088/1674-1137/33/S1/015
[15]	WANG Hai-Jun , ZHANG Wei-Ning , Yin Wong , . Meson spectra governed by the Fermi-Breit potential. Chinese Physics C, 2009, 33(3): 170-176. doi: 10.1088/1674-1137/33/3/002
[16]	Feng Dachun , Liu Wenqin , Ma Zhongyu . Analysis of Relativistic Optical Potential for Medium-Energy Protons. Chinese Physics C, 1993, 17(S1): 81-88.
[17]	Zhu Ping , Xu Jiabao , Gao Qin . Effect of Interaction Range in Relativistic Microscopic Optical Potential. Chinese Physics C, 1993, 17(S2): 179-189.
[18]	Zheng Bo . Exact Ground State and String Tension in Massive Lattice Schwinger Model. Chinese Physics C, 1989, 13(S4): 379-384.
[19]	Zheng Bo . Exact Ground State of Lattice Schwinger Model. Chinese Physics C, 1989, 13(S3): 259-262.
[20]	Ge Liangxiao , Zhuo Yizhong . Non-Relativistic BUU Equation. Chinese Physics C, 1989, 13(S3): 289-302.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2013-01-14
Revised: 2013-05-09

Article Metric

Article Views(1924)
PDF Downloads(281)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

HTML

目录