Properties of bottomonium in a semi-relativistic model

Bhaghyesh; K. B. Vijaya Kumar

doi:10.1088/1674-1137/37/2/023103

Chinese Physics C> 2013, Vol. 37> Issue(2) : 023103 DOI: 10.1088/1674-1137/37/2/023103

Properties of bottomonium in a semi-relativistic model

Bhaghyesh ,
K. B. Vijaya Kumar ^,

Abstract
HTML
Reference
Related

PDF

Abstract：
Using a semi-relativistic potential model we investigate the spectra and decays of the bottomonium (bb) system. The Hamiltonian of our model consists of a relativistic kinetic energy term, a vector Coulomb-like potential and a scalar confining potential. Using this Hamiltonian, we obtain a spinless wave equation, which is then reduced to the form of a single particle Schrodinger equation. The spin dependent potentials are introduced as a perturbation. The three-dimensional harmonic oscillator wave function is employed as a trial wave function and the bbmass spectrum is obtained by the variational method. The model parameters and the wave function that reproduce the the bbspectrum are then used to investigate some of their decay properties. The results obtained are then compared with the experimental data and with the predictions of other theoretical models.

References

[1]

The ATLAS collaboration. arXiv:1112.5154v4 [hep-ex][2] Buchmüller W, Tye S H. Phys. Rev. D, 1981, 24: 132[3] Quigg C, Rosner J L. Phys. Lett. B, 1977, 71: 153[4] Eichten E, Gottfried K, Kinoshita T, Lane K D, Yan T M. Phys. Rev. D, 1978, 17: 3090[5] Martin A. Phys. Lett. B, 1980, 93: 338[6] Richardson J L. Phys. Lett. B, 1979, 82: 272[7] Choe S et al. (QCD-TARO collaboration). J. High Energy Phys., 2003, 08: 022, arXiv:0307004v1 [hep-lat][8] Davies C T H, Hornbostel K, Lepage G P, Lidsey A J, Shigemitsu J, Sloan J. Phys. Lett. B, 1996, 382: 131, arXiv:9602020v1 [hep-lat][9] Dudek J J, Edwards R G, Mathur N, Richards D G. Phys. Rev. D, 2008, 77: 034501[10] Beane S R, Detmold W, Orginos K, Savage M J. Prog. Part. Nucl. Phys., 2011, 66: 1[11] Hashimoto S, Onogi T. Annu. Rev. Nucl. Part. Sci., 2004, 54: 451[12] Brambilla N, Pineda A, Soto J, Vairo A. Rev. Mod. Phys., 2005, 77: 1423, arXiv:0410047 [hep-ph][13] Brambilla N, Mereghetti E, Vairo A. Phys. Rev. D, 2009, 79: 074002; 2011, 83: 079904(E)[14] Bodwin G T, Braaten E, Lepage G P. Phys. Rev. D, 1995, 51: 1125; 1997, 55: 5853[15] GUO F K, Hanhart C, LI G, Meiβner U G, ZHAO Q. Phys. Rev. D, 2011, 83: 034013[16] Godfrey S, Isgur N. Phys. Rev. D, 1985, 32: 189[17] Gupta S N, Radford S F, Repko W W. Phys. Rev. D, 1985, 31: 160[18] Vijayakumar K B, Hanumaiah B, Pepin S. Eur. Phys. J. A, 2004, 19: 247[19] Vijaya Kumar K B, Bhavyashri, MA Yong-Liang, Monteiro A P. Int. J. Mod. Phys. A, 2009, 24: 4209[20] Radford S F, Repko W W. Phys. Rev. D, 2007, 75: 074031, arXiv:0701117v3 [hep-ph][21] Ebert D, Faustov R N, Galkin V O. Phys. Rev. D, 2003, 67: 014027[22] Jhung K S, Chung K H, Willey R S. Phys. Rev. D, 1975, 12: 1999[23] Fulcher L P, ZHENG Chen, Yeong K C. Phys. Rev. D, 1993, 47: 4122[24] Lucha W, Schberl F F. Phys. Rev. A, 1995, 51: 4419[25] ZENG J, Van Orden J W, Roberts W. Phys. Rev. D, 1995, 52: 5229[26] Badalian A M, Morgunov V L, Bakker B L G. Phys. At. Nucl., 2000, 63: 1635[27] Pandya J N, Rai A K, Vinodkumar P C. Frascati Phys. Ser., 2007, 46: 1519, arXiv:0808.1077v1 [hep-ph][28] LI Bai-Qing, CHAO Kuang-Ta. Phys. Rev. D, 2009, 79: 094004[29] Lakhina O, Swanson E S. Phys. Rev. D, 2006, 74: 014012[30] Bhavyashri, Vijaya Kumar K B, Hanumaiah B, Sarangi S, ZHOU S G. J. Phys. G: Nucl. Part. Phys., 2005, 31: 981[31] Quigg C, Rosner J L. Phys. Rep., 1979, 56: 167[32] Gershtein S S, Kiselev V V, Likhoded A K, Tkabladze A V. Phys. Rev. D, 1995, 51: 3613[33] Bhaghyesh, K. B. Vijaya Kumar, MA Yong-Liang. Int. J. Mod. Phys. A, 2009, 27: 1250011[34] LI Bai-Qing, CHAO Kuang-Ta. Commun. Theor. Phys., 2009, 52:653, arXiv:0909.1369v1 [hep-ph][35] Bhaghyesh, Vijaya Kumar K B. Int. J. Mod. Phys. A, 2012, 27: 1250127[36] Greiner W. Relativistic Quantum Mechanics: Wave Equations. New York: Springer, 2000[37] Jena S N, Rath D P. Phys. Rev. D, 1985, 32: 2366[38] Motyka L, Zalewski K. Eur. Phys. J. C, 1998, 4: 107[39] Rai A K, Pandya J N, Vinodkumar P C. Eur. Phys. J. A, 2008, 38: 77[40] Patel B, Vinodkumar P C. J. Phys. G: Nucl. Part. Phys., 2009, 36: 035003[41] Vinodkumar P C, Pandya J N, Bannur V M, Khadkikar S B. Eur. Phys. J. A, 1999, 4: 83[42] Lucha W, Franz F. Schberl. arXiv:9601263v1 [hep-ph][43] Voloshin M B. Prog. Part. Nucl. Phys., 2008, 61: 455, arXiv:0711.4556v3 [hep-ph][44] Van Royen R, Weisskopf V F. Nuovo Cim. A, 1967, 50: 617[45] Kwong W, Mackenzie P B, Rosenfeld R, Rosner J L. Phys. Rev. D, 1988, 37: 3210[46] Igi K, Ono S. Phys. Rev. D, 1985, 32: 232[47] Capstick S, Godfrey S. Phys. Rev. D, 1990, 41: 2856[48] Isgur N, Scora D, Grinstein B, Wise M B. Phys. ReV. D, 1989, 39: 799[49] Le Yaouanc A, Oliver L, Péne O, Raynal J C. Hadron Transitions in the Quark Model. New York: Gordon and Breach, 1988[50] Aubert B et al. (BABAR collaboration). Phys. Rev. Lett., 2008, 101: 071801[51] Nakamura K et al. (Particle Data Group). J. Phys. G: Nucl. Part. Phys., 2010, 37: 075021[52] Adachi I et al. (Belle collaboration). arXiv:1103.3419v2 [hep-ex][53] Laverty J T, Radford S F, Repko W W. arXiv:0901.3917v3 [hep-ph][54] Chien-Wen Hwang, Rurng-Sheng Guo. Phys. Rev. D, 2010, 82: 034021

[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]	Rong An , Lisheng Geng , Shisheng Zhang , Lang Liu . Particle number conserving BCS approach in the relativistic mean field model and its application to ^32-74Ca. Chinese Physics C, 2018, 42(11): 114101. doi: 10.1088/1674-1137/42/11/114101
[3]	Rashmirekha Swain , S. K. Patra , B. B. Sahu . Nuclear structure and decay modes of Ra isotopes within an axially deformed relativistic mean field model. Chinese Physics C, 2018, 42(8): 084102. doi: 10.1088/1674-1137/42/8/084102
[4]	Si-Na Wei , Rong-Yao Yang , Wei-Zhou Jiang . Crust-core properties of neutron stars in the Nambu-Jona-Lasinio model. Chinese Physics C, 2018, 42(5): 054103. doi: 10.1088/1674-1137/42/5/054103
[5]	Rui-Ju Guo , Zhi-Quan Li , Chen Liu , Yong-He Tian , Shou-Yu Wang . Shell-model calculations for the semi-magic nucleus ⁸⁵Br and systematic features of the N=50 odd-A isotones. Chinese Physics C, 2017, 41(8): 084105. doi: 10.1088/1674-1137/41/8/084105
[6]	Hong-Bo Bai , Zhen-Hua Zhang , Xiao-Wei Li . Investigation of the Mg isotopes using the shell-model-like approach in relativistic mean field theory. Chinese Physics C, 2016, 40(11): 114101. doi: 10.1088/1674-1137/40/11/114101
[7]	Jing-Bin Liu , Mao-Zhi Yang . Heavy-light mesons in a relativistic model. Chinese Physics C, 2016, 40(7): 073101. doi: 10.1088/1674-1137/40/7/073101
[8]	WU Qing , ZHOU Li-Juan , XIANG Qian-Fei , MA Wei-Xing . Multiquark cluster form factors in the relativistic harmonic oscillator model. Chinese Physics C, 2015, 39(1): 013102. doi: 10.1088/1674-1137/39/1/013102
[9]	H. Hassanabadi , A. A. Rajabi . Ground states and excitation spectra of baryons in a non-relativistic model with the anharmonic potential. Chinese Physics C, 2013, 37(11): 113101. doi: 10.1088/1674-1137/37/11/113101
[10]	CHEN Yan-Jun . Quasielastic electron scattering in a derivative coupling model with relativistic random phase approximation. Chinese Physics C, 2013, 37(7): 074101. doi: 10.1088/1674-1137/37/7/074101
[11]	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
[12]	S. M. Ikhdair , A. A. Rajabi . A semi-relativistic treatment of spinless particles subjectto the nuclear Woods-Saxon potential. Chinese Physics C, 2013, 37(6): 063101. doi: 10.1088/1674-1137/37/6/063101
[13]	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
[14]	FAN Guang-Wei , XU Wang , PAN Qiang-Yan , CAI Xiao-Lu , FAN Gong-Tao , LI Yong-Jiang , LUO Wen , XU Ben-Ji , YAN Zhe , YANG Li-Feng . Radius studies of ⁸Li and ⁸B using the optical-limit Glauber model in conjunction with relativistic mean-field theory. Chinese Physics C, 2010, 34(10): 1622-1627. doi: 10.1088/1674-1137/34/10/013
[15]	ZHOU Xian-Rong . Properties of deformed Λ hypernuclei. Chinese Physics C, 2009, 33(S1): 82-85. doi: 10.1088/1674-1137/33/S1/027
[16]	KE Hong-Wei , XU Ming-Mei , LIU Lian-Shou . Critical phenomena in a disc-percolation model and their application to relativistic heavy ion collisions. Chinese Physics C, 2009, 33(10): 854-859. doi: 10.1088/1674-1137/33/10/007
[17]	GAO Yuan , DONG Jian-Min , ZHANG Hong-Fei , ZUO Wei , LI Jun-Qing . Properties and structure of N=Z nuclei within relativistic mean field theory. Chinese Physics C, 2009, 33(10): 848-853. doi: 10.1088/1674-1137/33/10/006
[18]	BAO Tmurbagan , LIU Guang-Zhou , ZHU Ming-Feng . Properties of hybrid stars in an extended MIT bag model. Chinese Physics C, 2009, 33(5): 340-344. doi: 10.1088/1674-1137/33/5/004
[19]	HUANG Fei . Resonance properties from a coupled channel meson exchange model. Chinese Physics C, 2009, 33(12): 1273-1278. doi: 10.1088/1674-1137/33/12/037
[20]	Chen Baoqiu , Ma Zhongyu . Description of the Properties of Nuclei Far From the β Stability Line in the Relativistic Mean Field Theory. Chinese Physics C, 1994, 18(Z1): 87-94.

Access

Get Citation

Bhaghyesh and K. B. Vijaya Kumar. Properties of bottomonium in a semi-relativistic model[J]. Chinese Physics C, 2013, 37(2): 023103. doi: 10.1088/1674-1137/37/2/023103

Bhaghyesh and K. B. Vijaya Kumar. Properties of bottomonium in a semi-relativistic model[J]. Chinese Physics C, 2013, 37(2): 023103. doi: 10.1088/1674-1137/37/2/023103 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2012-04-25
Revised: 2012-05-31

Article Metric

Article Views(2050)
PDF Downloads(755)
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

Properties of bottomonium in a semi-relativistic model

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Properties of bottomonium in a semi-relativistic model

Corresponding author: K. B. Vijaya Kumar,

HTML

目录