Processing math: 100%

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

  • 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.
  • [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] 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
  • 加载中

Cited by

1. Hernández-Pinto, R.J., Gutiérrez-Guerrero, L.X., Bedolla, M.A. et al. Electric, magnetic, and quadrupole form factors and charge radii of vector mesons: From light to heavy sectors in a contact interaction[J]. Physical Review D, 2024, 110(11): 114015. doi: 10.1103/PhysRevD.110.114015
2. Rojas, A., Toledo, G. ρ meson magnetic dipole moment from B a B ar e+e- →π+π-π0π0 cross section measurement[J]. Physical Review D, 2024, 110(5): 056037. doi: 10.1103/PhysRevD.110.056037
3. Xu, Y.-Z.. The electromagnetic form factors of heavy-light pseudo-scalar and vector mesons[J]. Journal of High Energy Physics, 2024, 2024(7): 118. doi: 10.1007/JHEP07(2024)118
4. Xu, Y.-Z., Segovia, J. An Assessment of Pseudoscalar and Vector Meson Electromagnetic Form Factors[J]. Few-Body Systems, 2023, 64(3): 62. doi: 10.1007/s00601-023-01845-6
5. Dubnička, S., Dubničková, A.Z., Ivanov, M.A. et al. B Meson Decays in the Covariant Confined Quark Model[J]. Symmetry, 2023, 15(8): 1542. doi: 10.3390/sym15081542
6. Wang, F.-L., Luo, S.-Q., Liu, X. Radiative decays and magnetic moments of the predicted Bc -like molecules[J]. Physical Review D, 2023, 107(11): 114017. doi: 10.1103/PhysRevD.107.114017
7. Meng, L., Wang, B., Wang, G.-J. et al. Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules[J]. Physics Reports, 2023. doi: 10.1016/j.physrep.2023.04.003
8. Gandhi, K., Patel, V., Pincha, S. et al. Magnetic Moments and the Decay Properties of the D and Ds Mesons[J]. Springer Proceedings in Physics, 2021. doi: 10.1007/978-981-33-4408-2_20
9. Yang, B., Wang, B., Meng, L. et al. Isospin violating decay Ds∗ →dsπ0 in chiral perturbation theory[J]. Physical Review D, 2020, 101(5): 054019. doi: 10.1103/PhysRevD.101.054019
10. Aliev, T.M., Bilmis, S., Savci, M. Multipole moments of heavy vector and axial-vector mesons in QCD[J]. Physical Review D, 2020, 101(5): 054009. doi: 10.1103/PhysRevD.101.054009
11. Krutov, A.F., Troitsky, V.E. Quadrupole moments of the ρ meson and the S -wave deuteron and some general constraints on quadrupole moments of spin-1 systems[J]. Physical Review D, 2019, 99(1): 014036. doi: 10.1103/PhysRevD.99.014036
12. Krutov, A.F., Polezhaev, R.G., Troitsky, V.E. Magnetic moment of the ρ meson in instant-form relativistic quantum mechanics[J]. Physical Review D, 2018, 97(3): 033007. doi: 10.1103/PhysRevD.97.033007
13. Šimonis, V.. Magnetic properties of ground-state mesons[J]. European Physical Journal A, 2016, 52(4): 90. doi: 10.1140/epja/i2016-16090-5
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
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 shu
Milestone
Received: 2015-04-17
Article Metric

Article Views(1678)
PDF Downloads(24)
Cited by(13)
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

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

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

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)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return