Gottfried sum rule from maximum entropy method quark distributions with DGLAP evolution and with DGLAP evolution with GLR-MQ-ZRS corrections

  • A new method to test the valence quark distribution of nucleons obtained from the maximum entropy method using the Gottfried sum rule by performing the DGLAP equations with GLR-MQ-ZRS corrections and the original leading-order/next-to-leading-order (LO/NLO) DGLAP equations is outlined. The test relies on knowledge of the unpolarized electron-proton structure function F2ep and the electron-neutron structure function F2en and the assumption that Bjorken scaling is satisfied. In this work, the original Gottfried summation value obtained by the integrals of the structure function at different Q2 is in accordance with the theoretical value of 1/3 under the premise of light-quark flavor symmetry of the nucleon sea, whether it results from dynamical evolution equations or from global quantum chromodynamics fits of PDFs. Finally, we present the summation value of the LO/NLO DGLAP global fits of PDFs under the premise of light-quark flavor asymmetry of the nucleon sea. According to analysis of the original Gottfried summation value with two evolution equations at different Q2, we find that the valence quark distributions of nucleons obtained by using the maximum entropy method are effective and reliable.
      PCAS:
  • [1] J. Soffer, arXiv:hep-ph/0409333
    [2] S. L. Adler, Phys. Rev., 143:1144 (1966)
    [3] P. C. Bosetti et al, Nucl. Phys. B, 142:1 (1978); J. C. H. deGroot et al, Z. Phys. C Particles and Fields, 1:143 (1979); S. M. Heagy et al, Phys. Rev. D, 23:1045 (1981); M. Jonker et al, Phys. Lett. 109, B:133 (1981); P. C. Bosetti et al, Nucl. Phys. B, 203:362 (1982); Bergsma et al, Phys. Lett. B, 123:269 (1983); H. Abramowicz et al, Z. Phys. C-Particles and Fields, 17:283 (1983); H. Abrarnowicz et al, Z. Phys. C-Particles and Fields, 25:29 (1984); D. B. MacFarlane et al, Z. Phys. C-Particles and Fields, 26:1 (1984); WA25 Collaboration, D. Allasia et al, Z. Phys C-Particles and Fields, 28:321 (1985)
    [4] Stephen L. Adler, arXiv:0905.2923
    [5] K. Gottfried, Phys. Rev. Lett., 18 1174 (1967)
    [6] D. J. Broadhurst, A. L. Kataev and C. J.Maxwell, Phys. Lett. B, 590:76 (2004)
    [7] A. L. Kataev and G. Parente, Phys. Lett. B, 566:120 (2003)
    [8] A. Bodek et al, Phys. Rev. D, 20:1471 (1979); D. Bollini et al, Phys. Lett. B, 104:403 (1981); J.J. Aubert et al, Phys. Lett. B, 105:322 (1981); A.R. Clark et al, Phys. Rev. Lett., 51:1826 (1983); M. Arneodo et al (New Muon Collaboration), Phys. Rev. D, 50 1 (1994); A.L. Kataev, arXiv:hep-ph/0311091 (2003)
    [9] S.J. Wimpenny:In Proc. Int. Conf. on High Energy Physics, Brighton, 1983; J.J. Aubert et al, Phys. Lett. B, 123:123 (1983)
    [10] Y. L. Dokshitzer, Sov. Phys. JETP, 46:641 (1977); V. N. Gribov and L. N. Lipatov, Sov. J. Nucl. Phys., 15:438 (1972); G. Altarelli and G. Parisi, Nucl. Phys. B, 126:298 (1977)
    [11] X. Chen, J. Ruan, R. Wang, W. Zhu, and P. Zhang, Int. J. Mod. Phys. E, 23:1450057 (2014); R. Wang, X. Chen, and Q. Fu, Nucl. Phys. B, 920:1 (2017); Rong Wang and Xurong Chen, Chin. Phys. C, 41:053103 (2017), https://github.com/lukeronger/IMParton; Wei Zhu, Rong Wang, Jianhong Ruan, Xurong Chen, and Pengming Zhang, Eur. Phys. J. Plus, 131:6 (2016)
    [12] Alessandro Cafarella, Claudio Corian and Marco Guzzi, Comput. Phys. Comm., 179:665 (2008); A. D. Martin, et al, Eur. Phys. J. C, 23:73 (2002); A. D. Martin, et al, Phys. Lett. B, 531:216 (2002)
    [13] G. Parisi and R. Petronzio, Phys. Lett. B, 62:331 (1976); V. A. Novikov, M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, JETP Lett., 24:341 (1976); M. Glck and E. Reya, Nucl. Phys. B, 130:76 (1977); X. Chen, J. Ruan, R. Wang, W. Zhu, and P. Zhang, Int. J. Mod. Phys. E, 23:1450057 (2014)
    [14] Jonathan Pumplin, Daniel Robert Stump, Joey Huston, Hung-Liang Lai, Pavel Nadolsky, and Wu-Ki Tung, J. High Energy Phys., 07:012 (2002)
    [15] Rong Wang, Xurong Chen, Phys. Rev. D, 91:054026 (2015)
    [16] Chengdong Han, Jiangshan Lan, Qiang Fu, and Xurong Chen, arXiv:1801.01387
    [17] E. Reya, Phys. Rep., 69:195 (1981)
    [18] M. Glck, E. Reya, and A. Vogt, Eur. Phys. J. C, 5:461 (1998)
    [19] C. G. Callan, D. J. Gross, Phys. Rev. Lett., 22:156 (1969)
    [20] S. Kumano, Phys. Rep., 303:183 (1998); G. T. Garvey, J. C. Peng, Prog. Part. Nucl. Phys., 47:203 (2001); M. Karliner, H. J. Lipkin, Phys. Lett. B, 533:60 (2002)
    [21] L. V. Gribov, E. M. Levin, and M. G. Ryskin, Phys. Rep., 100:1 (1983); J. Bartels, J. Blmlein, and G.A. Schuler, Z. Phys C-Particles and Fields, 50:91 (1991)
    [22] A. H. Mueller and Jianwei Qiu, Nucl. Phys. B, 268:427 (1986)
    [23] Wei Zhu, Nucl. Phys. B, 551:245 (1999); Wei Zhu and Jianhong Ruan, Nucl. Phys. B, 559:378 (1999); Wei Zhu and Zhenqi Shen, High Energy Physics and Nuclear Physics 29:109 (2005)
    [24] A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt, Eur. Phys. J. C, 63:189 (2009)
    [25] Pavel M. Nadolsky et al, Phys. Rev. D, 78:013004 (2008)
    [26] H.-L. Lai, M. Guzzi, J. Huston, Z. Li, P. M. Nadolsky, J. Pumplin, and C.-P. Yuan, Phys. Rev. D, 82:074024 (2010)
    [27] S. I. Alekhin, A. L. Kataev, S. A. Kulagin b, and M. V. Osipenko, Nucl. Phys. A, 755:345c (2005)
  • [1] J. Soffer, arXiv:hep-ph/0409333
    [2] S. L. Adler, Phys. Rev., 143:1144 (1966)
    [3] P. C. Bosetti et al, Nucl. Phys. B, 142:1 (1978); J. C. H. deGroot et al, Z. Phys. C Particles and Fields, 1:143 (1979); S. M. Heagy et al, Phys. Rev. D, 23:1045 (1981); M. Jonker et al, Phys. Lett. 109, B:133 (1981); P. C. Bosetti et al, Nucl. Phys. B, 203:362 (1982); Bergsma et al, Phys. Lett. B, 123:269 (1983); H. Abramowicz et al, Z. Phys. C-Particles and Fields, 17:283 (1983); H. Abrarnowicz et al, Z. Phys. C-Particles and Fields, 25:29 (1984); D. B. MacFarlane et al, Z. Phys. C-Particles and Fields, 26:1 (1984); WA25 Collaboration, D. Allasia et al, Z. Phys C-Particles and Fields, 28:321 (1985)
    [4] Stephen L. Adler, arXiv:0905.2923
    [5] K. Gottfried, Phys. Rev. Lett., 18 1174 (1967)
    [6] D. J. Broadhurst, A. L. Kataev and C. J.Maxwell, Phys. Lett. B, 590:76 (2004)
    [7] A. L. Kataev and G. Parente, Phys. Lett. B, 566:120 (2003)
    [8] A. Bodek et al, Phys. Rev. D, 20:1471 (1979); D. Bollini et al, Phys. Lett. B, 104:403 (1981); J.J. Aubert et al, Phys. Lett. B, 105:322 (1981); A.R. Clark et al, Phys. Rev. Lett., 51:1826 (1983); M. Arneodo et al (New Muon Collaboration), Phys. Rev. D, 50 1 (1994); A.L. Kataev, arXiv:hep-ph/0311091 (2003)
    [9] S.J. Wimpenny:In Proc. Int. Conf. on High Energy Physics, Brighton, 1983; J.J. Aubert et al, Phys. Lett. B, 123:123 (1983)
    [10] Y. L. Dokshitzer, Sov. Phys. JETP, 46:641 (1977); V. N. Gribov and L. N. Lipatov, Sov. J. Nucl. Phys., 15:438 (1972); G. Altarelli and G. Parisi, Nucl. Phys. B, 126:298 (1977)
    [11] X. Chen, J. Ruan, R. Wang, W. Zhu, and P. Zhang, Int. J. Mod. Phys. E, 23:1450057 (2014); R. Wang, X. Chen, and Q. Fu, Nucl. Phys. B, 920:1 (2017); Rong Wang and Xurong Chen, Chin. Phys. C, 41:053103 (2017), https://github.com/lukeronger/IMParton; Wei Zhu, Rong Wang, Jianhong Ruan, Xurong Chen, and Pengming Zhang, Eur. Phys. J. Plus, 131:6 (2016)
    [12] Alessandro Cafarella, Claudio Corian and Marco Guzzi, Comput. Phys. Comm., 179:665 (2008); A. D. Martin, et al, Eur. Phys. J. C, 23:73 (2002); A. D. Martin, et al, Phys. Lett. B, 531:216 (2002)
    [13] G. Parisi and R. Petronzio, Phys. Lett. B, 62:331 (1976); V. A. Novikov, M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, JETP Lett., 24:341 (1976); M. Glck and E. Reya, Nucl. Phys. B, 130:76 (1977); X. Chen, J. Ruan, R. Wang, W. Zhu, and P. Zhang, Int. J. Mod. Phys. E, 23:1450057 (2014)
    [14] Jonathan Pumplin, Daniel Robert Stump, Joey Huston, Hung-Liang Lai, Pavel Nadolsky, and Wu-Ki Tung, J. High Energy Phys., 07:012 (2002)
    [15] Rong Wang, Xurong Chen, Phys. Rev. D, 91:054026 (2015)
    [16] Chengdong Han, Jiangshan Lan, Qiang Fu, and Xurong Chen, arXiv:1801.01387
    [17] E. Reya, Phys. Rep., 69:195 (1981)
    [18] M. Glck, E. Reya, and A. Vogt, Eur. Phys. J. C, 5:461 (1998)
    [19] C. G. Callan, D. J. Gross, Phys. Rev. Lett., 22:156 (1969)
    [20] S. Kumano, Phys. Rep., 303:183 (1998); G. T. Garvey, J. C. Peng, Prog. Part. Nucl. Phys., 47:203 (2001); M. Karliner, H. J. Lipkin, Phys. Lett. B, 533:60 (2002)
    [21] L. V. Gribov, E. M. Levin, and M. G. Ryskin, Phys. Rep., 100:1 (1983); J. Bartels, J. Blmlein, and G.A. Schuler, Z. Phys C-Particles and Fields, 50:91 (1991)
    [22] A. H. Mueller and Jianwei Qiu, Nucl. Phys. B, 268:427 (1986)
    [23] Wei Zhu, Nucl. Phys. B, 551:245 (1999); Wei Zhu and Jianhong Ruan, Nucl. Phys. B, 559:378 (1999); Wei Zhu and Zhenqi Shen, High Energy Physics and Nuclear Physics 29:109 (2005)
    [24] A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt, Eur. Phys. J. C, 63:189 (2009)
    [25] Pavel M. Nadolsky et al, Phys. Rev. D, 78:013004 (2008)
    [26] H.-L. Lai, M. Guzzi, J. Huston, Z. Li, P. M. Nadolsky, J. Pumplin, and C.-P. Yuan, Phys. Rev. D, 82:074024 (2010)
    [27] S. I. Alekhin, A. L. Kataev, S. A. Kulagin b, and M. V. Osipenko, Nucl. Phys. A, 755:345c (2005)
  • 加载中

Cited by

1. Gao, Y., Di, Z., Gao, S. General mass formulas for charged Kerr-AdS black holes[J]. Physica Scripta, 2024, 99(9): 095022. doi: 10.1088/1402-4896/ad6fff
2. Sood, A., Ali, M.S., Singh, J.K. et al. Photon orbits and phase transition for Letelier AdS black holes immersed in perfect fluid dark matter[J]. Chinese Physics C, 2024, 48(6): 065109. doi: 10.1088/1674-1137/ad361f
3. Pokhrel, R., Dey, T.K. Charged AdS black holes in presence of string cloud and Cardy-Verlinde formula[J]. Nuclear Physics B, 2024. doi: 10.1016/j.nuclphysb.2024.116508
4. Pokhrel, R., Sherpa, K.P., Dey, T.K. Dissipative Force on an External Quark in AdS Gauss-Bonnet Gravity with String Cloud[J]. Springer Proceedings in Physics, 2024. doi: 10.1007/978-3-031-69146-1_47
5. Pokhrel, R., Sherpa, K.P., Dey, T.K. Holographic study of drag on a probe quark in Reissner-Nordstrom AdS black hole with Gauss-Bonnet gravity and cloud of string[J]. Proceedings of SPIE - The International Society for Optical Engineering, 2024. doi: 10.1117/12.3041616
6. Ndongmo, R., Mahamat, S., Tabi, C.B. et al. Thermodynamics of non-linear magnetic-charged AdS black hole surrounded by quintessence, in the background of perfect fluid dark matter[J]. Physics of the Dark Universe, 2023. doi: 10.1016/j.dark.2023.101299
7. Li, X.-P., Zhang, L.-C., Ma, Y.-B. et al. Thermodynamic quantities and phase transitions of five-dimensional de Sitter hairy spacetime[J]. Chinese Physics C, 2023, 47(10): 105102. doi: 10.1088/1674-1137/ace8f5
8. Alipour, M.R., Sadeghi, J., Shokri, M. WGC and WCCC of black holes with quintessence and cloud strings in RPS space[J]. Nuclear Physics B, 2023. doi: 10.1016/j.nuclphysb.2023.116184
9. López, L.A., Pedraza, O. Effects of quintessence on scattering and absorption sections of black holes[J]. Indian Journal of Physics, 2023, 97(1): 285-294. doi: 10.1007/s12648-022-02373-5
10. Aounallah, H., El Moumni, H., Khalloufi, J. et al. Insight into the microscopic structure of a quintessential black hole from the quantization concept[J]. International Journal of Modern Physics A, 2022, 37(8): 2250036. doi: 10.1142/S0217751X22500361
11. Qu, Y., Tao, J., Wu, J. New Gedanken experiment on RN-AdS black holes surrounded by quintessence[J]. European Physical Journal C, 2022, 82(2): 185. doi: 10.1140/epjc/s10052-022-10120-7
12. Liang, J., Mu, B., Wang, P. Joule-Thomson expansion of lower-dimensional black holes[J]. Physical Review D, 2021, 104(12): 124003. doi: 10.1103/PhysRevD.104.124003
13. Yin, R., Liang, J., Mu, B. Joule–Thomson expansion of Reissner–Nordström-Anti-de Sitter black holes with cloud of strings and quintessence[J]. Physics of the Dark Universe, 2021. doi: 10.1016/j.dark.2021.100884
14. Liang, J., Lin, W., Mu, B. Joule–Thomson expansion of the torus-like black hole[J]. European Physical Journal Plus, 2021, 136(11): 1169. doi: 10.1140/epjp/s13360-021-02119-y
15. Mustafa, G., Hussain, I. Radial and circular motion of photons and test particles in the Schwarzschild black hole with quintessence and string clouds[J]. European Physical Journal C, 2021, 81(5): 419. doi: 10.1140/epjc/s10052-021-09195-5
16. Yin, R., Liang, J., Mu, B. Stability of horizon with pressure and volume of d-dimensional charged AdS black holes with cloud of strings and quintessence[J]. Physics of the Dark Universe, 2021. doi: 10.1016/j.dark.2021.100831
Get Citation
Chengdong Han, Qiang Fu and Xurong Chen. Gottfried sum rule from maximum entropy method quark distributions with DGLAP evolution and with DGLAP evolution with GLR-MQ-ZRS corrections[J]. Chinese Physics C, 2018, 42(10): 103103. doi: 10.1088/1674-1137/42/10/103103
Chengdong Han, Qiang Fu and Xurong Chen. Gottfried sum rule from maximum entropy method quark distributions with DGLAP evolution and with DGLAP evolution with GLR-MQ-ZRS corrections[J]. Chinese Physics C, 2018, 42(10): 103103.  doi: 10.1088/1674-1137/42/10/103103 shu
Milestone
Received: 2018-04-22
Revised: 2018-07-02
Fund

    Supported by National Basic Research Program of China (973 Program) (2014CB845406).

Article Metric

Article Views(1950)
PDF Downloads(25)
Cited by(16)
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:

Gottfried sum rule from maximum entropy method quark distributions with DGLAP evolution and with DGLAP evolution with GLR-MQ-ZRS corrections

  • 1. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
  • 2. University of Chinese Academy of Sciences, Beijing 100049, China
  • 3. Lanzhou University, Lanzhou 730000, China
  • 4.  Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
Fund Project:  Supported by National Basic Research Program of China (973 Program) (2014CB845406).

Abstract: A new method to test the valence quark distribution of nucleons obtained from the maximum entropy method using the Gottfried sum rule by performing the DGLAP equations with GLR-MQ-ZRS corrections and the original leading-order/next-to-leading-order (LO/NLO) DGLAP equations is outlined. The test relies on knowledge of the unpolarized electron-proton structure function F2ep and the electron-neutron structure function F2en and the assumption that Bjorken scaling is satisfied. In this work, the original Gottfried summation value obtained by the integrals of the structure function at different Q2 is in accordance with the theoretical value of 1/3 under the premise of light-quark flavor symmetry of the nucleon sea, whether it results from dynamical evolution equations or from global quantum chromodynamics fits of PDFs. Finally, we present the summation value of the LO/NLO DGLAP global fits of PDFs under the premise of light-quark flavor asymmetry of the nucleon sea. According to analysis of the original Gottfried summation value with two evolution equations at different Q2, we find that the valence quark distributions of nucleons obtained by using the maximum entropy method are effective and reliable.

    HTML

Reference (27)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return