Radial excitation states of η and η' in the chiral quark model

CHEN Shao-Na; PING Jia-Lun

doi:10.1088/1674-1137/36/8/001

Chinese Physics C> 2012, Vol. 36> Issue(8) : 681-690 DOI: 10.1088/1674-1137/36/8/001

Radial excitation states of η and η' in the chiral quark model

CHEN Shao-Na ,
PING Jia-Lun ^,

Abstract
HTML
Reference
Related

PDF

Abstract：
A chiral quark model is applied to calculate the spectra of pseudoscalar mesons η and η'. By analyzing the obtained spectra, we find that the mesons η'(2¹S₀), η(4¹S₀), η'(3¹S₀) and η'(4¹S₀) are the possible candidates of η(1760), X(1835), X(2120) and X(2370). The strong decay widths of these pseudoscalars to all the possible two-body decay channels are calculated within the framework of the ³P₀ model. Although the total width of η'(2¹S₀) is compatible with the BES Collaboration's experimental value for η(1760), the partial decay width to ωω is too small, which is not consistent with the BES result. If X(1835) is interpreted as η(4¹S₀), the total decay width is compatible with the experimental data, and the main decay modes will be mπ a₀(980) and m π a₀(1450), which needs to be checked experimentally. The assignment of X(2120) and X(2370) to η'(3¹S₀) and η'(4¹S₀) is disfavored in the present calculation because of the incompatibility of the decay widths.

References

[1]

Ablikim M et al. (BES collaboration). Phys. Rev. Lett., 2005, 95: 262001[2] Ablikim M et al. (BES collaboration). Phys. Rev. Lett., 2011, 106: 072002[3] Baltrusaitis R M et al. (MARKIII collaboration). Phys. Rev. Lett., 1985, 55: 1723-1726[4] Baltrusaitis R M et al. (MARKIII collaboration). Phys. Rev. D, 1986, 33: 1222-1232[5] Bisello D et al. (DM2 collaboration). Phys. Lett. B, 1987, 192: 239-244[6] Bisello D et al. (DM2 collaboration). Phys. Rev. D, 1989, 39: 701-712[7] Ablikim M et al. (BES collaboration). Phys. Rev. D, 2006, 73: 112007[8] Klempt E, Zaitsev A. Phys. Rep., 2007, 454: 1-202[9] DING G J, YAN M L. Phy Rev. C, 2005, 72: 015208; DING G J, YAN M L. Eur. Phys. J. A, 2006, 28: 351-360[10] Dedonder J P, Loiseau B, El-Bennich B, Wycech S. Phys. Rev. C, 2009, 80: 045207[11] WANG Z G, WAN S L. J. Phys. G, 2007, 34: 505-512; WANG Z G. Eur. Phys. J. A, 2011, 47: 71[12] LIU C. Eur. Phys. J. C, 2008, 53: 413-419[13] Kochelev N, Min D P. Phys. Lett. B, 2006, 633: 283-288; Phys. Rev. D, 2005, 72: 097502[14] HE X G, LI X Q, LIU X, MA J P. Eur. Phys. J. C, 2006, 49: 731-736[15] LI B A. Phys. Rev. D, 2006, 74: 034019[16] HAO G, QIAO C F, ZHANG A L. Phys. Lett. B, 2006, 642: 53-61[17] HUANG T, ZHU S L. Phys. Rev. D, 2006, 73: 014023[18] LI D M, MA B. Phys. Rev. D, 2008, 77: 074004[19] YU J S, SUN Z F, LIU X, ZHAO Q. Phys. Rev. D, 2011, 83: 114007[20] Vijande J, Fernández F, Valcarce A. J. Phys. G, 2005, 31: 481-506[21] LI X Q, Page P R. Eur. Phys. J. C, 1998, 1: 579-583[22] WU N, YUAN T N, ZHENG Z P. HEP NP, 2001, 10: 611-612 (in Chinese)[23] Micu L. Nucl. Phys. B, 1969, 10: 521-526[24] Yaouanc A Le, Oliver L, Pene O, Raynal J C. Phys. Rev. D, 1973, 8: 2223-2234; 1974, 9: 1415-1419; 1975, 11: 1272-1286[25] Roberts W, Silvestr-Brac B. Few-Body Syst., 1992, 11: 171-193[26] Ackleh E S, Barnes T, Swanson E S. Phys. Rev. D, 1996, 54: 6811-6829[27] Jacob M, Wick G C. Ann. Phys. (N.Y.), 1959, 7: 404-428[28] Manohar A, Georgi H. Nucl. Phys. B, 1984, 234: 189-212[29] Koonin S E, Meredith D C. Computational Physics. New York: Addison-Wesley, 1990. 56-57[30] LU J, DENG W Z, CHEN X L, ZHU S L. Phys. Rev. D, 2006, 73: 054012; ZHANG B, LIU X, DENG W Z, ZHU S L. Eur. Phys. J. C, 2007, 50: 617-628; CHEN C, CHEN X L, LIU X, DENG W Z, ZHU S L. Phys. Rev. D, 2007, 75: 094017[31] Blundell H G, Godfrey S. Phys. Rev. D, 1996, 53: 3700-3711; Phys. Rev. D, 1996, 53: 3712-3722[32] YANG Y C, XIA Z R, PING J L. Phys. Rev. D, 2010, 81: 094003[33] Yaouanc A Le, Oliver L, Pene O, Raynal J C. Phys. Lett. B, 1977, 72: 57-61[34] Nakamura K et al. J. Phys. G, 2010, 37: 075021

[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]	Hui Li , Zong-Xiu Wu , Chun-Sheng An , Hong Chen . Low-lying 1/2^- hidden strange pentaquark states in the constituent quark model. Chinese Physics C, 2017, 41(12): 124104. doi: 10.1088/1674-1137/41/12/124104
[3]	Chao Wang , Yujiang Bi , Hao Cai , Ying Chen , Ming Gong , Zhaofeng Liu . Quark chiral condensate from the overlap quark propagator. Chinese Physics C, 2017, 41(5): 053102. doi: 10.1088/1674-1137/41/5/053102
[4]	Yubing Dong , Fei Huang , Pengnian Shen , Zongye Zhang . On the decays of d^* in a constituent chiral quark model. Chinese Physics C, 2017, 41(10): 101001. doi: 10.1088/1674-1137/41/10/101001
[5]	Lei Yang , Cheng-Jian Lin , Hui-Ming Jia , Xin-Xing Xu , Nan-Ru Ma , Li-Jie Sun , Feng Yang , Huan-Qiao Zhang , Zu-Hua Liu , Dong-Xi Wang . Test of the notch technique for determining the radial sensitivity of the optical model potential. Chinese Physics C, 2016, 40(5): 056201. doi: 10.1088/1674-1137/40/5/056201
[6]	PENG Jin-Song , ZHOU Li-Juan , MENG Cheng-Ju , PAN Ji-Huan , MA Wei-Xing , YUAN Tong-Quan . Ratio of a strange quark mass m_s to up or down quark mass m_u,d predicted by a quark propagator in the frameworkof the chiral perturbation theory. Chinese Physics C, 2013, 37(4): 043101. doi: 10.1088/1674-1137/37/4/043101
[7]	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
[8]	YU Si-Hai , WANG Bao-Kai , CHEN Xiao-Lin , DENG Wei-Zhen . Study of the heavy molecular states in the quark model with meson exchange interaction. Chinese Physics C, 2012, 36(1): 25-30. doi: 10.1088/1674-1137/36/1/004
[9]	LI Ming-Tao , DONG Yu-Bing , ZHANG Zong-Ye . A study of meson-meson potential in the chiral quark model. Chinese Physics C, 2011, 35(7): 622-628. doi: 10.1088/1674-1137/35/7/005
[10]	J. Vijande . Molecular and compact four-quark states. Chinese Physics C, 2010, 34(9): 1290-1293. doi: 10.1088/1674-1137/34/9/026
[11]	ZHONG Xian-Hui , ZHAO Qiang . K^－p scattering and hyperon excitations in a chiral quark model. Chinese Physics C, 2010, 34(9): 1428-1432. doi: 10.1088/1674-1137/34/9/062
[12]	ZHANG Ai-Lin . Light four-quark states and QCD sum rule. Chinese Physics C, 2009, 33(6): 494-496. doi: 10.1088/1674-1137/33/6/017
[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]	HE Jun . Study of nucleon resonances in a chiral quark model via η productions. Chinese Physics C, 2009, 33(12): 1389-1392. doi: 10.1088/1674-1137/33/12/062
[16]	ZHONG Xian-Hui , ZHAO Qiang . Λ resonances studied in K^－p→Σ⁰π⁰ in a chiral quark model. Chinese Physics C, 2009, 33(12): 1373-1376. doi: 10.1088/1674-1137/33/12/058
[17]	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
[18]	Liu Yaoyang , Jiang Xiangdong , Zhou Jiange . A Quark Model Including Lepton Structure. Chinese Physics C, 1996, 20(S4): 339-351.
[19]	Yu Youwen , Zhang Zongye , Shen Pengnian , Shen Xiaoyan . Effective Quark-Quark Interaction Created by Quark-Antiquark Pair Excitation. Chinese Physics C, 1992, 16(S4): 449-456.
[20]	Xu Xiaoming , Qiu Xijun . A Chiral Quark-Soliton Model Theory for Nuclear Force. Chinese Physics C, 1990, 14(S4): 381-389.

Access

Get Citation

CHEN Shao-Na and PING Jia-Lun. Radial excitation states of η and η' in the chiral quark model[J]. Chinese Physics C, 2012, 36(8): 681-690. doi: 10.1088/1674-1137/36/8/001

CHEN Shao-Na and PING Jia-Lun. Radial excitation states of η and η' in the chiral quark model[J]. Chinese Physics C, 2012, 36(8): 681-690. doi: 10.1088/1674-1137/36/8/001 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2011-11-15
Revised: 2012-01-18

Article Metric

Article Views(2207)
PDF Downloads(377)
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

Radial excitation states of η and η' in the chiral quark model

Corresponding author: PING Jia-Lun,

Received Date: 2011-11-15

Accepted Date: 2012-01-18

Available Online: 2012-08-05

Abstract: A chiral quark model is applied to calculate the spectra of pseudoscalar mesons η and η'. By analyzing the obtained spectra, we find that the mesons η'(2¹S₀), η(4¹S₀), η'(3¹S₀) and η'(4¹S₀) are the possible candidates of η(1760), X(1835), X(2120) and X(2370). The strong decay widths of these pseudoscalars to all the possible two-body decay channels are calculated within the framework of the ³P₀ model. Although the total width of η'(2¹S₀) is compatible with the BES Collaboration's experimental value for η(1760), the partial decay width to ωω is too small, which is not consistent with the BES result. If X(1835) is interpreted as η(4¹S₀), the total decay width is compatible with the experimental data, and the main decay modes will be mπ a₀(980) and m π a₀(1450), which needs to be checked experimentally. The assignment of X(2120) and X(2370) to η'(3¹S₀) and η'(4¹S₀) is disfavored in the present calculation because of the incompatibility of the decay widths.

HTML

Reference (1)

Radial excitation states of η and η' in the chiral quark model

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article