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

Chengdong Han; Qiang Fu; Xurong Chen

doi:10.1088/1674-1137/42/10/103103

Chinese Physics C> 2018, Vol. 42> Issue(10) : 103103 DOI: 10.1088/1674-1137/42/10/103103

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

Chengdong Han ^1,2 ,
Qiang Fu ^1,2,3 ,
Xurong Chen ¹

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

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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 F₂^ep and the electron-neutron structure function F₂^en 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.
- Gottfired sum rule ,
- DGLAP-GLR-MQ-ZRS equations ,
- DGLAP equations ,
- deviation

References

[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)

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[16]	Zhu Wei . Valence Quark Mixing Contribution to the Gottfried Sum Rule. Chinese Physics C, 1993, 17(S2): 157-159.
[17]	Yu Qingchang . The Fluid Theory of Self-Sustaining Magnetically Confined Electron Clouds (I) Fluid Equations. Chinese Physics C, 1991, 15(S1): 17-24.
[18]	LI Guo-Qiang , XU Gong-Ou . A SELFCONSISTENT SEMICLASSICAL SUM RULE APPROACH TO THE AVERAGE PROPERTIES OF GLANT RESONANCES. Chinese Physics C, 1990, 14(10): 931-939.
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[20]	ZHUO YI-ZHONG , WU XI-ZHEN . MASTER EQUATIONS FOR COUPLING SYSTEM. Chinese Physics C, 1979, 3(4): 501-510.

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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

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Received: 2018-04-22
Revised: 2018-07-02

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

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

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

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