Meson electro-magnetic form factors in an extended Nambu-Jona-Lasinio model including heavy quark flavors

LUAN Yi-Long; CHEN Xiao-Lin; DENG Wei-Zhen

doi:10.1088/1674-1137/39/11/113103

Chinese Physics C> 2015, Vol. 39> Issue(11) : 113103 DOI: 10.1088/1674-1137/39/11/113103

Meson electro-magnetic form factors in an extended Nambu-Jona-Lasinio model including heavy quark flavors

1.
School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China

Abstract
HTML
Reference
Related

PDF

Abstract：
Based on an extended NJL model including heavy quark flavors, we calculate the form factors of pseudo-scalar and vector mesons. After taking into account the vector-meson-dominance effect, which introduces a form factor correction to the quark vector coupling vertices, the form factors and electric radii of π⁺ and K⁺ pseudo-scalar mesons in the light flavor sector fit the experimental data well. The magnetic moments of the light vector mesons ρ⁺ and K^*+ are comparable with other theoretical calculations. The form factors in the light-heavy flavor sector are presented to compare with future experiments or other theoretical calculations.
- NJL model ,
- heavy meson ,
- form factor ,
- magnetic moment

References

[1]	Nambu Y, Jona-Lasinio G. Phys. Rev., 1961, 122: 345
[2]	Nambu Y, Jona-Lasinio G. Phys. Rev., 1961, 124: 246
[3]	Klevansky S. Rev. Mod. Phys., 1992, 64: 649
[4]	Klimt S, Lutz M F, Vogl U, Weise W. Nucl. Phys. A, 1990, 516: 429
[5]	Vogl U, Lutz M F, Klimt S, Weise W. Nucl. Phys. A, 1990, 516: 469
[6]	Vogl U, Weise W. Prog. Part. Nucl. Phys., 1991, 27: 195
[7]	Shifman M A, Voloshin M. Sov. J. Nucl. Phys., 1987, 45: 292
[8]	Politzer H D, Wise M B. Phys. Lett. B, 1988, 208: 504
[9]	Isgur N, Wise M B. Phys. Lett. B, 1989, 232: 113
[10]	Eichten E, Hill B. R. Phys. Lett. B, 1990, 234: 511
[11]	Georgi H. Phys. Lett. B, 1990, 240: 447
[12]	Grinstein B. Nucl. Phys. B, 1990, 339: 253
[13]	Falk A F, Georgi H, Grinstein B, Wise M B. Nucl. Phys. B, 1990, 343: 1
[14]	Mannel T, Roberts W, Ryzak Z. Nucl. Phys. B, 1992, 368: 204
[15]	Ebert D, Feldmann T, Friedrich R, Reinhardt H. Nucl. Phys. B, 1995, 434: 619
[16]	GUO X Y, CHEN X L, DENG W Z. Chin. Phys. C, 2013, 37: 033102
[17]	DENG H B, CHEN X L, DENG W Z. Chin. Phys. C, 2014, 38: 013103
[18]	Amendolia S, Badelek B, Batignani G et al. Phys. Lett. B, 1984, 146: 116
[19]	Amendolia S, Batignani G, Beck G et al. Phys. Lett. B, 1986, 178: 435
[20]	Amendolia S et al. (NA7 collaboration). Nucl. Phys. B, 1986, 277: 168
[21]	Bernard V, Meissner U G. Phys. Rev. Lett., 1988, 61: 2296
[22]	Lutz M F, Weise W. Nucl. Phys. A, 1990, 518: 156
[23]	Schulze H. J. Phys. G, 1994, 20: 531
[24]	Roberts C D. Nucl. Phys. A, 1996, 605: 475
[25]	Chung P, Coester F, Polyzou W. Phys. Lett. B, 1988, 205: 545
[26]	Ito H, Buck W, Gross F. Phys. Lett. B, 1990, 248: 28
[27]	Woloshyn R, Kobos A. Phys. Rev. D, 1986, 33: 222
[28]	Nemoto Y et al. (RBC collaboration). Nucl. Phys. Proc. Suppl., 2004, 129: 299
[29]	Efremov A, Radyushkin A. Phys. Lett. B, 1980, 94: 245
[30]	Lepage G P, Brodsky S J. Phys. Lett. B, 1979, 87: 359
[31]	Rothstein I Z. Phys. Rev. D, 2004, 70: 054024
[32]	Bakulev A, Passek-Kumericki K, Schroers W, Stefanis N. Phys. Rev. D, 2004, 70: 033014
[33]	Bakker B L, Choi H M, Ji C R. Phys. Rev. D, 2002, 65: 116001
[34]	Cardarelli F, Grach I, Narodetsky I, Salme G, Simula S. Phys. Lett. B, 1995, 349: 393
[35]	de Melo J, Frederico T. Phys. Rev. C, 1997, 55: 2043
[36]	Bhagwat M, Maris P. Phys. Rev. C, 2008, 77: 025203
[37]	Lee F X, Moerschbacher S, Wilcox W. Phys. Rev. D, 2008, 78: 094502
[38]	Hedditch J, Kamleh W, Lasscock B et al. Phys. Rev. D, 2007, 75: 094504
[39]	Rubinstein H, Solomon S, Wittlich T. Nucl. Phys. B, 1995, 457: 577
[40]	Badalian A, Simonov Y. Phys. Rev. D, 2013, 87: 074012
[41]	Aliev T, Ozpineci A, Savci M. Phys. Lett. B, 2009, 678: 470
[42]	Gomez-Rocha M, Schweiger W. Phys. Rev. D, 2012, 86: 053010
[43]	Brodsky S J, Hiller J R. Phys. Rev. D, 1992, 46: 2141
[44]	Arnold R, Carlson C E, Gross F. Phys. Rev. C, 1981, 23: 363

[1]	Xiaozhu Yu , Xinyang Wang . (Pseudo) Scalar mesons in a self-consistent NJL model. Chinese Physics C, 2023, 47(12): 123103. doi: 10.1088/1674-1137/ad0111
[2]	Ya-Bing Zuo , Hong-Yao Jin , Jing-Ying Tian , Jia Yi , Han-Yu Gong , Ting-Ting Pan . $ {\boldsymbol{B_{(s)} \rightarrow D^{**}_{(s)}}} $ form factors in HQEFT and model independent analysis of relevant semileptonic decays with NP effects. Chinese Physics C, 2023, 47(10): 103104. doi: 10.1088/1674-1137/ace821
[3]	Qing-Hong Cao , Hao-Ran Jiang , Bin Li , Yandong Liu , Guojin Zeng . Probing magnetic moment operators in ${\boldsymbol H \gamma }$ production and ${\boldsymbol H \to \tau^+ \tau^- \gamma }$ rare decay. Chinese Physics C, 2021, 45(9): 093108. doi: 10.1088/1674-1137/ac0e88
[4]	Zilong Yuan , Dachuan Tian , Jian Li , Zhongming Niu . Magnetic moment predictions of odd-A nuclei with the Bayesian neural network approach. Chinese Physics C, 2021, 45(12): 124107. doi: 10.1088/1674-1137/ac28f9
[5]	Zi-Xiong Yu , Tong Zhao , Hong-Shi Zong . Self-consistent mean field approximation and application in three-flavor NJL model. Chinese Physics C, 2020, 44(7): 074104. doi: 10.1088/1674-1137/44/7/074104
[6]	Wenkai Fan , Xiaofeng Luo , Hongshi Zong . Probing the QCD phase structure with higher order baryon number susceptibilities within the NJL model. Chinese Physics C, 2019, 43(3): 033103. doi: 10.1088/1674-1137/43/3/033103
[7]	Yan-Bing Wei , Run-Hui Li , Dan Luo , Cai-Dian Lü , Yue-Long Shen . Exclusive production of B_c mesons in e⁺e^- colliders. Chinese Physics C, 2018, 42(8): 083107. doi: 10.1088/1674-1137/42/8/083107
[8]	Chao-Wei Shen , Deborah Rönchen , Ulf-G. Meißner , Bing-Song Zou . Exploratory study of possible resonances in heavy meson-heavy baryon coupled-channel interactions. Chinese Physics C, 2018, 42(2): 023106. doi: 10.1088/1674-1137/42/2/023106
[9]	Cui-Bai Luo , Song Shi , Yong-Hui Xia , Hong-Shi Zong . Dynamical chiral symmetry breaking in NJL Model with a strong background magnetic field and Lorentz-violating extension of the Standard Model. Chinese Physics C, 2017, 41(6): 063104. doi: 10.1088/1674-1137/41/6/063104
[10]	Bao-dong Sun , Yu-bing Dong . Deuteron electromagnetic form factors with the light-front approach. Chinese Physics C, 2017, 41(1): 013102. doi: 10.1088/1674-1137/41/1/013102
[11]	E. Tabar , H. Yakut , A. A. Kuliev , H. Quliyev , G. Ho?gör . Magnetic moments and g-factors in odd-A Ho isotopes. Chinese Physics C, 2017, 41(7): 074101. doi: 10.1088/1674-1137/41/7/074101
[12]	Liang Zhang , Peng-Zhi Huang . ρ meson decays of heavy hybrid mesons. Chinese Physics C, 2016, 40(7): 073105. doi: 10.1088/1674-1137/40/7/073105
[13]	DENG Hong-Bo , CHEN Xiao-Lin , DENG Wei-Zhen . Meson decays in an extended Nambu—Jona-Lasinio model with heavy quark flavors. Chinese Physics C, 2014, 38(1): 013103. doi: 10.1088/1674-1137/38/1/013103
[14]	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
[15]	DONG Yu-Bing . Pion charge form factor and constraints from space-time translations. Chinese Physics C, 2010, 34(9): 1342-1345. doi: 10.1088/1674-1137/34/9/038
[16]	E. Tomasi-Gustafsson (on behalf of the PANDA collaboration) . Form factor measurements with PANDA at FAIR. Chinese Physics C, 2010, 34(6): 863-868. doi: 10.1088/1674-1137/34/6/041
[17]	M. Sudol (for \=PANDA collaboration) . Time-like proton form factor measurement with PANDA. Chinese Physics C, 2009, 33(12): 1244-1248. doi: 10.1088/1674-1137/33/12/031
[18]	Huang Mei , Zhuang Pengfei , Zhao Weiqin . External Momentum Expansion in NJL Model. Chinese Physics C, 1999, 23(9): 926-930.
[19]	Pan Feng , Dai Lianrong . Magnetic Moments of Odd a Nuclei in q-Deformed Nuclear Shell Model. Chinese Physics C, 1996, 20(S2): 197-204.
[20]	Yu Hong , Shen Qixing , Zhang Lin . Angular Distribution of Processes e⁺e^-→τ⁺τ^-,τ^-→a₁^-υ_τ,a₁^-→ρπ and Characteristics of a₁ Meson. Chinese Physics C, 1994, 18(S2): 141-150.

Access

Get Citation

LUAN Yi-Long, CHEN Xiao-Lin and DENG Wei-Zhen. Meson electro-magnetic form factors in an extended Nambu-Jona-Lasinio model including heavy quark flavors[J]. Chinese Physics C, 2015, 39(11): 113103. doi: 10.1088/1674-1137/39/11/113103

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2015-04-17

Article Metric

Article Views(1585)
PDF Downloads(24)
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

Meson electro-magnetic form factors in an extended Nambu-Jona-Lasinio model including heavy quark flavors

Corresponding author: DENG Wei-Zhen,

1. School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China

Received Date: 2015-04-17

Available Online: 2015-11-20

Abstract: Based on an extended NJL model including heavy quark flavors, we calculate the form factors of pseudo-scalar and vector mesons. After taking into account the vector-meson-dominance effect, which introduces a form factor correction to the quark vector coupling vertices, the form factors and electric radii of π⁺ and K⁺ pseudo-scalar mesons in the light flavor sector fit the experimental data well. The magnetic moments of the light vector mesons ρ⁺ and K^*+ are comparable with other theoretical calculations. The form factors in the light-heavy flavor sector are presented to compare with future experiments or other theoretical calculations.

HTML

Reference (44)

Meson electro-magnetic form factors in an extended Nambu-Jona-Lasinio model including heavy quark flavors

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article