Chin. Phys. Lett.  2021, Vol. 38 Issue (8): 081101    DOI: 10.1088/0256-307X/38/8/081101
THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
Regarding the Distribution of Glue in the Pion
Lei Chang1* and Craig D. Roberts2,3*
1School of Physics, Nankai University, Tianjin 300071, China
2School of Physics, Nanjing University, Nanjing 210093, China
3Institute for Nonperturbative Physics, Nanjing University, Nanjing 210093, China
Cite this article:   
Lei Chang and Craig D. Roberts 2021 Chin. Phys. Lett. 38 081101
Download: PDF(902KB)   PDF(mobile)(1035KB)   HTML
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract Understanding why the scale of emergent hadron mass is obvious in the proton but hidden in the pion may rest on mapping the distribution functions (DFs) of all partons within the pion and comparing them with those in the proton; and since glue provides binding in quantum chromodynamics, the glue DF could play a special role. Producing reliable predictions for the proton's DFs is difficult because the proton is a three-valence-body bound-state problem. As sketched herein, the situation for the pion, a two-valence-body problem, is much better, with continuum and lattice predictions for the valence-quark and glue DFs in agreement. This beginning of theory alignment is timely because experimental facilities now either in operation or planning promise to realize the longstanding goal of providing pion targets, thereby enabling precision experimental tests of rigorous theory predictions concerning Nature's most fundamental Nambu–Goldstone bosons.
Received: 20 May 2021      Editors' Suggestion Published: 02 August 2021
PACS:  14.70.Dj (Gluons)  
  14.40.Aq  
  13.60.Hb (Total and inclusive cross sections (including deep-inelastic processes))  
  12.38.Aw (General properties of QCD (dynamics, confinement, etc.))  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/38/8/081101       OR      https://cpl.iphy.ac.cn/Y2021/V38/I8/081101
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
Lei Chang and Craig D. Roberts
[1] Rutherford E 1919 The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 37 581
[2] Cockroft J D and Walton E T S 1932 Proc. R. Soc. London Ser. A 136 619
[3] Taylor R E 1991 Rev. Mod. Phys. 63 573
[4] Kendall H W 1991 Rev. Mod. Phys. 63 597
[5] Friedman J I 1991 Rev. Mod. Phys. 63 615
[6] Marciano W J and Pagels H 1979 Nature 279 479
[7] Brock R et al. 1995 Rev. Mod. Phys. 67 157
[8] Friedman J I, Kendall H W, and Taylor R E 1991 Rev. Mod. Phys. 63 629
[9] Drell S and Yan T M 1970 Phys. Rev. Lett. 25 316 [Erratum: 1970 Phys. Rev. Lett. 25 902]
[10] Holt R J and Roberts C D 2010 Rev. Mod. Phys. 82 2991
[11] Gao J, Harland-Lang L, and Rojo J 2018 Phys. Rep. 742 1
[12] Geesaman D F and Reimer P E 2019 Rep. Prog. Phys. 82 046301
[13] Ethier J J and Nocera E R 2020 Annu. Rev. Nucl. Part. Sci. 70 43
[14] Ball R D, Nocera E R, and Rojo J 2016 Eur. Phys. J. C 76 383
[15] Segarra E, Schmidt A, Kutz T, Higinbotham D, Piasetzky E, Strikman M, Weinstein L, and Hen O 2020 Phys. Rev. Lett. 124 092002
[16] Courtoy A and Nadolsky P M 2021 Phys. Rev. D 103 054029
[17] Abrams D et al. 2021 arXiv:2104.05850 [hep-ex]
[18] Roberts C D, Holt R J, and Schmidt S M 2013 Phys. Lett. B 727 249
[19] Chen X, Guo F K, Roberts C D, and Wang R 2020 Few-Body Syst. 61 43
[20] Lin H W et al. 2018 Prog. Part. Nucl. Phys. 100 107
[21] Yukawa H 1955 Prog. Theor. Phys. Suppl. 1 1
[22] Lattes C M G, Muirhead H, Occhialini G P S, and Powell C F 1947 Nature 159 694
[23] Corden M et al. 1980 Phys. Lett. B 96 417
[24] Badier J et al. 1983 Z. Phys. C 18 281
[25] Betev B et al. 1985 Z. Phys. C 28 15
[26] Conway J S et al. 1989 Phys. Rev. D 39 92
[27] Sullivan J D 1972 Phys. Rev. D 5 1732
[28] Derrick M et al. 1996 Phys. Lett. B 384 388
[29] Adloff C et al. 1999 Eur. Phys. J. C 6 587
[30] Aicher M, Schäfer A, and Vogelsang W 2010 Phys. Rev. Lett. 105 252003
[31] Sutton P J, Martin A D, Roberts R G, and Stirling W J 1992 Phys. Rev. D 45 2349
[32] Glück M, Reya E, and Schienbein I 1999 Eur. Phys. J. C 10 313
[33] Barry P C, Sato N, Melnitchouk W, and Ji C R 2018 Phys. Rev. Lett. 121 152001
[34] Novikov I et al. 2020 Phys. Rev. D 102 014040
[35] Chang W C, Peng J C, Platchkov S, and Sawada T 2020 Phys. Rev. D 102 054024
[36] Roberts C D, Richards D G, Horn T, and Chang L 2021 Prog. Part. Nucl. Phys. 120 103883
[37] de Teramond G F, Liu T, Sufian R S, Dosch H G, Brodsky S J, and Deur A 2018 Phys. Rev. Lett. 120 182001
[38] Lan J, Mondal C, Jia S, Zhao X, and Vary J P 2020 Phys. Rev. D 101 034024
[39] Ma Z L, Zhu J Q, and Lu Z 2020 Phys. Rev. D 101 114005
[40] Chang L, Raya K, and Wang X 2020 Chin. Phys. C 44 114105
[41] Han C, Xie G, Wang R, and Chen X 2021 Eur. Phys. J. C 81 302
[42] Ding M, Raya K, Binosi D, Chang L, Roberts C D, and Schmidt S M 2020 Phys. Rev. D 101 054014
[43] Cui Z F, Ding M, Gao F, Raya K, Binosi D, Chang L, Roberts C D, Rodríguez-Quintero J, and Schmidt S M 2020 Eur. Phys. J. C 80 1064
[44] Fan Z and Lin H W 2021 arXiv:2104.06372 [hep-lat]
[45]Keppel C, Wojtsekhowski B, King P, Dutta D, Annand J, Zhang J et al. Measurement of tagged deep inelastic scattering (TDIS) approved Jefferson Lab experiment E12–15
[46]Park K, Montgomery R, Horn T et al. Measurement of kaon structure function through tagged deep inelastic scattering (TDIS) approved Jefferson Lab experiment C12-15-006A
[47] Aguilar A C et al. 2019 Eur. Phys. J. A 55 190
[48] Arrington J et al. 2021 J. Phys. G 48 075106
[49]Andrieux V, Parsamyan B and Newsletter C E, From COMPASS to AMBER: exploring fundamental properties of hadrons, CERN EP Newsletter 2020/12–2021/02
[50] Maris P, Roberts C D, and Tandy P C 1998 Phys. Lett. B 420 267
[51] Noaki J, Aoki S, Fukaya H, Hashimoto S, Kaneko T, Matsufuru H, Onogi T, Shintani E, and Yamada N (JLQCD collaboration) 2007 Light Meson Spectrum with $N_f = 2$ Dynamical Overlap Fermions in Progress of Science vol 042 pp 1–7
[52] Brodsky S J, Roberts C D, Shrock R, and Tandy P C 2012 Phys. Rev. C 85 065202
[53] Horn T and Roberts C D 2016 J. Phys. G 43 073001
[54] Eichmann G, Sanchis-Alepuz H, Williams R, Alkofer R, and Fischer C S 2016 Prog. Part. Nucl. Phys. 91 1
[55] Burkert V D and Roberts C D 2019 Rev. Mod. Phys. 91 011003
[56] Qin S X and Roberts C D 2020 Chin. Phys. Lett. 37 121201
[57] Chang L, Cloet I C, Cobos-Martinez J J, Roberts C D, Schmidt S M, and Tandy P C 2013 Phys. Rev. Lett. 110 132001
[58] Lee T D and Yang C N 1956 Nuovo Cimento 3 749
[59] Stefanis N G and Pimikov A V 2016 Nucl. Phys. A 945 248
[60] Raya K, Chang L, Bashir A, Cobos-Martinez J J, Gutiérrez-Guerrero L X, Roberts C D, and Tandy P C 2016 Phys. Rev. D 93 074017
[61] Gao F, Chang L, and Liu Y X 2017 Phys. Lett. B 770 551
[62] Zhong T, Zhu Z H, Fu H B, Wu X G, and Huang T 2021 arXiv:2102.03989 [hep-ph]
[63] Zhang J H, Chen J W, Ji X, Jin L, and Lin H W 2017 Phys. Rev. D 95 094514
[64] Zhang J H et al. 2019 Nucl. Phys. B 939 429
[65] Bali G S, Braun V M, Bürger S, Göckeler M, Gruber M, Hutzler F, Korcyl P, Schäfer A, Sternbeck A, and Wein P 2020 J. High Energy Phys. 2020(08) 065
Bali G S, Braun V M, Bürger S, Göckeler M, Gruber M, Hutzler F, Korcyl P, Schäfer A, Sternbeck A, and Wein P 2020 J. High Energy Phys. 2020(10) 037
[66] Lepage G P and Brodsky S J 1979 Phys. Lett. B 87 359
[67] Efremov A V and Radyushkin A V 1980 Phys. Lett. B 94 245
[68] Lepage G P and Brodsky S J 1980 Phys. Rev. D 22 2157
[69] Roberts C D 2021 AAPPS Bull. 31 6
[70] Chang L and Roberts C D 2012 Phys. Rev. C 85 052201(R)
[71] Binosi D, Chang L, Papavassiliou J, Qin S X, and Roberts C D 2017 Phys. Rev. D 95 031501(R)
[72] Binosi D, Mezrag C, Papavassiliou J, Roberts C D, and Rodríguez-Quintero J 2017 Phys. Rev. D 96 054026
[73] Cui Z F, Zhang J L, Binosi D, de Soto F, Mezrag C, Papavassiliou J, Roberts C D, Rodríguez-Quintero J, Segovia J, and Zafeiropoulos S 2020 Chin. Phys. C 44 083102
[74] Deur A, Brodsky S J, and de Teramond G F 2016 Prog. Part. Nucl. Phys. 90 1
[75] Brodsky S J and Shrock R 2008 Phys. Lett. B 666 95
[76]Aguilar A C, Binosi D, and Papavassiliou J 2016 Front. Phys. Chin. 11 111203
[77] Gao F, Qin S X, Roberts C D, and Rodríguez-Quintero J 2018 Phys. Rev. D 97 034010
[78] Huber M Q 2020 Phys. Rep. 879 1
[79]Dokshitzer Y L 1977 Sov. Phys.-JETP 46 641
[80]Gribov V and Lipatov L 1972 Sov. J. Nucl. Phys. 15 438
[81]Lipatov L N 1975 Sov. J. Nucl. Phys. 20 94
[82] Altarelli G and Parisi G 1977 Nucl. Phys. B 126 298
[83] Sufian R S, Karpie J, Egerer C, Orginos K, Qiu J W, and Richards D G 2019 Phys. Rev. D 99 074507
[84] Hecht M B, Roberts C D, and Schmidt S M 2001 Phys. Rev. C 63 025213
[85] Grunberg G 1984 Phys. Rev. D 29 2315
[86]Dokshitzer Y L 1998 Perturbative QCD Theory (includes our knowledge of $\alpha(s)$) – hep-ph/9812252, in: High Energy Physics. Proceedings, 29th International Conference, ICHEP'98, Vancouver, Canada, 23–29 July 1998. vols 1 and 2 pp 305–324
[87] Joó B, Karpie J, Orginos K, Radyushkin A V, Richards D G, Sufian R S, and Zafeiropoulos S 2019 Phys. Rev. D 100 114512
[88] Gao X, Jin L, Kallidonis C, Karthik N, Mukherjee S, Petreczky P, Shugert C, Syritsyn S, and Zhao Y 2020 Phys. Rev. D 102 094513
[89]Barry P 2020 JAM pion PDF analysis including resummation (June 2020)
[90] Roberts C D 2017 Few-Body Syst. 58 5
Viewed
Full text


Abstract