Unified Hamiltonian model for mesons and baryons

XIE Wei; WANG Ping

doi:10.1088/1674-1137/39/5/053102

Chinese Physics C> 2015, Vol. 39> Issue(5) : 053102 DOI: 10.1088/1674-1137/39/5/053102

Unified Hamiltonian model for mesons and baryons

XIE Wei ¹ ,
WANG Ping ^1,2,,

Abstract
HTML
Reference
Related

PDF

Abstract：
A new Hamiltonian model is introduced to study the spectrum of light hadrons. It combines relativistic field theory with elements of the constituent quark model. In addition to the standard linear confining and pseudoscalar meson exchange interactions with predetermined parameters, an additional interaction with different covariant spin structures is examined. Using a large scale Monte Carlo variational procedure, the resulting model Hamiltonian provides a very good, unified description of the light quark baryon (both octet and decuplet) and meson spectra.

References

[1]

Allton C R et al. (UKQCD collaboration). Phys. Rev. D, 1999, 60: 034507[2] Aoki S et al. (CP-PACS collaboration). Phys. Rev. Lett., 2000, 84: 238[3] Leinweber D B, Thomas A W, Tsushima K et al. Phys. Rev. D, 2000, 61: 074502[4] Sasaki S, Blum T, Ohta S. Phys. Rev. D, 2002, 65: 074503[5] Edwards R G, Dudek J J, Richards D G et al. Phys. Rev. D, 2011, 84: 074508[6] Melnitchouk W, Thompson S O, Bonnet F D et al. Phys. Rev. D, 2003, 67: 114506[7] Shifman M A, Vainshtein A I, Zakharov V I. Nucl. Phys. B, 1979, 147: 385[8] Shifman M A, Vainshtein A I, Zakharov V I. Nucl. Phys. B, 1979, 147: 448[9] Ioffe, B L. Nucl. Phys. B, 1981, 188: 317[10] DAI Y B, HUANG C S, LIU C et al. Phys. Rev. D, 2003, 68: 114011[11] WANG Z G, WAN S L. Phys. Rev. D, 2006, 74: 014017[12] Brambilla N, Pineda A, Soto J et al. Nucl. Phys. B, 2000, 566: 275[13] Kniehl B A, Penin A A, Smirnov V A et al. Nucl. Phys. B, 2002, 635: 357[14] Pineda A. Phys. Rev. D, 2002, 65: 074007[15] Jenkins E E. Nucl. Phys. B, 1992, 368: 190[16] GUO F K, Hanhart C, Meissner U G. Eur. Phys. J. A, 2009, 40: 171[17] WANG P, WANG X G. Phys. Rev. D, 2012, 86: 014030[18] WANG P, WANG X G. Phys. Rev. Lett., 2013, 111: 042002[19] GUO F K, LIU L, Meissner U G, Wang P. Phys. Rev. D, 2013, 88: 074506[20] Godfrey S, Napolitano J. Rev. Mod. Phys., 1999, 71: 1411[21] Eichten E, Godfrey S, Mahlke H, Rosner J L. Rev. Mod. Phys., 2008, 80: 1161[22] Rujula A, Georgi H, Glashow S L. Phys. Rev. D, 1975, 12: 147[23] Godfrey S, Isgur N. Phys. Rev. D, 1985, 32: 189[24] Capstick S, Isgur N. Phys. Rev. D, 1986, 34: 2809[25] Glozman L Y, Riska D O. Phys. Rept., 1996, 268: 263[26] ZHANG Z Y, Faessler A, Straub U, Glozman L Y. Nucl. Phys. A, 1994, 578: 573[27] ZHANG Z Y, YU Y W, SHEN P N et al. Nucl. Phys. A, 1997, 625: 59[28] DAI L R, ZHANG Z Y, YU Y W, WANG P. Nucl. Phys. A, 2003, 727: 321[29] Llanes-Estrada F J, Cotanch S R. Phys. Rev. Lett., 2000, 84: 1102[30] Llanes-Estrada F J, Cotanch S R, Szczepaniak A P, Swanson E S. Phys. Rev. C, 2004, 70: 035202[31] Llanes-Estrada F J, Cotanch S R. Nucl. Phys. A, 2002, 697: 303[32] Szczepaniak A P, Swanson E S, JI C R, Cotanch S R. Phys. Rev. Lett., 1996, 76: 2011[33] Cotanch S R, Szczepaniak A P, Swanson E S, JI C R. Nucl. Phys. A, 1998, 631: 640C.[34] Cotanch S R, Llanes-Estrada F J. Nucl. Phys. A, 2001, 689: 481[35] Llanes-Estrada F J, Cotanch S R. Phys. Lett. B, 2001, 504: 15[36] General I J, Cotanch S R, Llanes-Estrada F J. Eur. Phys. J. C, 2007, 51: 347[37] General I J, Wang P, Cotanch S R, Llanes-Estrada F J. Phys. Lett. B, 2007, 653: 216[38] WANG P, Cotanch S R, General I J. Eur. Phys. J. C, 2008, 55: 409[39] XIE W, MO L Q, WANG P, Cotanch S R. Phys. Lett. B, 2013 725: 148[40] Gross F, Milana J. Phys. Rev. D, 1991, 43: 2401[41] Bugg D V. Eur. Phys. J. C, 2004, 33: 505[42] Beringer J et al. Phys. Rev. D, 2012, 86: 010001[43] Theberge S, Thomas A W, Miller G A. Phys. Rev. D, 1980, 22: 2838

[1]	Harleen Dahiya . Transition magnetic moments of J^P=(3/2)⁺ decuplet to J^P=(1/2)⁺ octet baryons in the chiral constituent quark model. Chinese Physics C, 2018, 42(9): 093102. doi: 10.1088/1674-1137/42/9/093102
[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]	. Erratum and Addendum: A unified model with a generalized gauge symmetry and its cosmological implications. Chinese Physics C, 2017, 41(12): 129101.
[4]	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
[5]	Jong-Ping Hsu , Kazuo O. Cottrell . A unified model with a generalized gauge symmetry and its cosmological implications. Chinese Physics C, 2015, 39(10): 105101. doi: 10.1088/1674-1137/39/10/105101
[6]	MU Chun , WANG Xiao , CHEN Xiao-Lin , LIU Xiang , ZHU Shi-Lin . Dipion decays of heavy baryons. Chinese Physics C, 2014, 38(11): 113101. doi: 10.1088/1674-1137/38/11/113101
[7]	DENG Cheng-Rong , PING Jia-Lun , ZHOU Ping , WANG Fan . Dynamical study of light scalar mesons below 1 GeV in a flux-tube model. Chinese Physics C, 2013, 37(3): 033101. doi: 10.1088/1674-1137/37/3/033101
[8]	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
[9]	GUO Xiao-Yu , CHEN Xiao-Lin , DENG Wei-Zhen . Heavy mesons in the Nambu-Jona-Lasinio model. Chinese Physics C, 2013, 37(3): 033102. doi: 10.1088/1674-1137/37/3/033102
[10]	Arafat Gabareen , Stephen Lars . Z charmoniumlike mesons. Chinese Physics C, 2011, 35(7): 695-702. doi: 10.1088/1674-1137/35/7/017
[11]	KE San-Min , YANG Wen-Li , WANG Chun , WANG Zhan-Yun . Hamiltonian analysis of a Green-Schwarz sigma model on a supercoset target with Z_4m grading. Chinese Physics C, 2011, 35(11): 1004-1008. doi: 10.1088/1674-1137/35/11/004
[12]	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
[13]	DONG Jian-Min , ZHANG Hong-Fei , ZUO Wei , LI Jun-Qing . Unified fission model for proton emission. Chinese Physics C, 2010, 34(2): 182-185. doi: 10.1088/1674-1137/34/2/005
[14]	YU Yi , GUO Jian-You . Solution to the eigenstates of pairing Hamiltonian in finite nuclei. Chinese Physics C, 2009, 33(S1): 134-136. doi: 10.1088/1674-1137/33/S1/042
[15]	Chen Fengzhi , Guo Liang . Unified Model Accommodating Three Generations of Fermions. Chinese Physics C, 1995, 19(S3): 305-311.
[16]	Zhao Liu . Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Model. Chinese Physics C, 1993, 17(S4): 361-369.
[17]	Yang Huanxiong . Hamiltonian Formula of WZNW Theory Under Chevalley Bases. Chinese Physics C, 1992, 16(S3): 243-252.
[18]	Cheng Tansheng , Wu Chongshi , Zeng Jinyan . Particle-Number-Conserving Approach for Treating Cranking Hamiltonian. Chinese Physics C, 1988, 12(S3): 313-320.
[19]	Yu Youwen , Sheri Pengnian . Studies of ρ and K^* Mesons Decay by the One-Gluon-Exchange Quark-Antiquark Pair Creation Model. Chinese Physics C, 1988, 12(S1): 55-58.
[20]	Wen Jiaru , Huang Tao . Baryons as Solitons in a Non-Linear a Model With Only a Sixth-Order Stabilizing Term. Chinese Physics C, 1988, 12(S1): 77-80.

Access

Get Citation

XIE Wei and WANG Ping. Unified Hamiltonian model for mesons and baryons[J]. Chinese Physics C, 2015, 39(5): 053102. doi: 10.1088/1674-1137/39/5/053102

XIE Wei and WANG Ping. Unified Hamiltonian model for mesons and baryons[J]. Chinese Physics C, 2015, 39(5): 053102. doi: 10.1088/1674-1137/39/5/053102 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2014-06-12
Revised: 2014-10-22

Article Metric

Article Views(1934)
PDF Downloads(215)
Cited by(0)

Policy on re-use

To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.

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

Unified Hamiltonian model for mesons and baryons

Corresponding author: WANG Ping,

Received Date: 2014-06-12

Accepted Date: 2014-10-22

Available Online: 2015-05-05

Abstract: A new Hamiltonian model is introduced to study the spectrum of light hadrons. It combines relativistic field theory with elements of the constituent quark model. In addition to the standard linear confining and pseudoscalar meson exchange interactions with predetermined parameters, an additional interaction with different covariant spin structures is examined. Using a large scale Monte Carlo variational procedure, the resulting model Hamiltonian provides a very good, unified description of the light quark baryon (both octet and decuplet) and meson spectra.

HTML

Reference (1)

Unified Hamiltonian model for mesons and baryons

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article