Chin. Phys. Lett.  2023, Vol. 40 Issue (4): 041201    DOI: 10.1088/0256-307X/40/4/041201
THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
Empirical Determination of the Pion Mass Distribution
Y.-Z. Xu1,2, K. Raya1, Z.-F. Cui3,4, C. D. Roberts3,4*, and J. Rodríguez-Quintero1
1Dpto. Ciencias Integradas, Centro de Estudios Avanzados en Fis., Mat. y Comp., Fac. Ciencias Experimentales, Universidad de Huelva, Huelva 21071, Spain
2Dpto. Sistemas Físicos, Químicos y Naturales, Univ. Pablo de Olavide, E-41013 Sevilla, Spain
3School of Physics, Nanjing University, Nanjing 210093, China
4Institute for Nonperturbative Physics, Nanjing University, Nanjing 210093, China
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Y.-Z. Xu, K. Raya, Z.-F. Cui et al  2023 Chin. Phys. Lett. 40 041201
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Abstract Existing pion+nucleus Drell-Yan and electron+pion scattering data are used to develop ensembles of model-independent representations of the pion generalized parton distribution (GPD). Therewith, one arrives at a data-driven prediction for the pion mass distribution form factor, $\theta_2^\pi $. Compared with the pion elastic electromagnetic form factor, $\theta_2^\pi$ is harder: the ratio of the radii derived from these two form factors is $r_\pi^{\theta_2}/r_\pi = 0.79(3)$. Our data-driven predictions for the pion GPD, related form factors and distributions should serve as valuable constraints on theories of pion structure.
Received: 02 March 2023      Express Letter Published: 24 March 2023
PACS:  12.38.Aw (General properties of QCD (dynamics, confinement, etc.))  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/40/4/041201       OR      https://cpl.iphy.ac.cn/Y2023/V40/I4/041201
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Y.-Z. Xu
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[1]Adams B et al. 2018 arXiv:1808.00848 [hep-ex]
[2] Quintans C 2022 Few-Body Syst. 63 72
[3] Aguilar A C et al. 2019 Eur. Phys. J. A 55 190
[4] Brodsky S J et al. 2020 Int. J. Mod. Phys. E 29 2030006
[5] Chen X R, Guo F K, Roberts C D, and Wang R 2020 Few-Body Syst. 61 43
[6] Anderle D P et al. 2021 Front. Phys. (Beijing) 16 64701
[7] Arrington J et al. 2021 J. Phys. G 48 075106
[8] Khalek R A et al. 2022 Nucl. Phys. A 1026 122447
[9] Wang R and Chen X R 2022 Few-Body Syst. 63 48
[10] Carman D S, Gothe R W, Mokeev V I, Roberts C D 2023 Particles 6 416
[11] Machleidt R and Entem D R 2011 Phys. Rep. 503 1
[12] Aad G et al. 2012 Phys. Lett. B 716 1
[13] Chatrchyan S et al. 2012 Phys. Lett. B 716 30
[14] Englert F 2014 Rev. Mod. Phys. 86 843
[15] Higgs P W 2014 Rev. Mod. Phys. 86 851
[16] Roberts C D 2017 Few-Body Syst. 58 5
[17] Roberts C D and Schmidt S M 2020 Eur. Phys. J. Spec. Top. 229 3319
[18] Roberts C D 2020 Symmetry 12 1468
[19] Krein G and Peixoto T C 2020 Few-Body Syst. 61 49
[20] Roberts C D 2021 AAPPS Bull. 31 6
[21] Roberts C D, Richards D G, Horn T, and Chang L 2021 Prog. Part. Nucl. Phys. 120 103883
[22] Binosi D 2022 Few-Body Syst. 63 42
[23] Papavassiliou J 2022 Chin. Phys. C 46 112001
[24] Ding M H, Roberts C D, and Schmidt S M 2023 Particles 6 57
[25] Roberts C D 2022 arXiv:2211.09905 [hep-ph]
[26] Ferreira M N and Papavassiliou J 2023 Particles 6 312
[27] Bhagwat M S, Chang L, Liu Y X, Roberts C D, and Tandy P C 2007 Phys. Rev. C 76 045203
[28] Brodsky S J, Roberts C D, Shrock R, Tandy P C 2010 Phys. Rev. C 82 022201(R)
[29] Qin S X, Roberts C D, and Schmidt S M 2014 Phys. Lett. B 733 202
[30] Corden M et al. 1980 Phys. Lett. B 96 417
[31] Badier J et al. 1983 Z. Phys. C 18 281
[32] Betev B et al. 1985 Z. Phys. C 28 15
[33] Conway J S et al. 1989 Phys. Rev. D 39 92
[34] Amendolia S R et al. 1984 Phys. Lett. B 146 116
[35] Amendolia S R et al. 1986 Nucl. Phys. B 277 168
[36] Volmer J et al. 2001 Phys. Rev. Lett. 86 1713
[37] Horn T et al. 2006 Phys. Rev. Lett. 97 192001
[38] Tadevosyan V et al. 2007 Phys. Rev. C 75 055205
[39] Blok H P et al. 2008 Phys. Rev. C 78 045202
[40] Huber G et al. 2008 Phys. Rev. C 78 045203
[41] Holt R J and Roberts C D 2010 Rev. Mod. Phys. 82 2991
[42]Peng J C and Qiu J W 2016 Phys. Dark Universe 4(3) 34
[43] Dove J et al. 2021 Nature 590 561
[44] Gao F, Chang L, Liu Y X, Roberts C D, and Tandy P C 2017 Phys. Rev. D 96 034024
[45] Chen M Y, Ding M H, Chang L, and Roberts C D 2018 Phys. Rev. D 98 091505(R)
[46] Ding M H, Raya K, Binosi D, Chang L, Roberts C D, and Schmidt S M 2020 Chin. Phys. C 44 031002
[47] Ding M H, Raya K, Binosi D, Chang L, Roberts C D, and Schmidt S M 2020 Phys. Rev. D 101 054014
[48] 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
[49]Dokshitzer Y L 1977 Sov. Phys.-JETP 46 641
[50] Gribov V N and Lipatov L N 1971 Phys. Lett. B 37 78
[51]Lipatov L N 1975 Sov. J. Nucl. Phys. 20 94
[52] Altarelli G and Parisi G 1977 Nucl. Phys. B 126 298
[53] 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
[54] Cui Z F, Ding M, Morgado J M, Raya K, Binosi D, Chang L, Papavassiliou J, Roberts C D, Rodrı́guez-Quintero J, and Schmidt S M 2022 Eur. Phys. J. A 58 10
[55] Cui Z F, Ding M, Morgado J M, Raya K, Binosi D, Chang L, De Soto F, Roberts C D, Rodrı́guez-Quintero J, and Schmidt S M 2022 Phys. Rev. D 105 L091502
[56] Grunberg G 1980 Phys. Lett. B 95 70 [Erratum: 1982 Phys. Lett. B 110 501]
[57] Grunberg G 1984 Phys. Rev. D 29 2315
[58] Dokshitzer Y L 1998 arXiv:hep-ph/9812252
[59] Raya K, Cui Z F, Chang L, Morgado J M, Roberts C D, and Rodríguez-Quintero J 2022 Chin. Phys. C 46 013105
[60] Deur A, Brodsky S J, and de Teramond G F 2016 Prog. Part. Nucl. Phys. 90 1
[61] Deur A, Burkert V, Chen J P, and Korsch W 2022 Particles 5 171
[62] Deur A, Brodsky S J, and Roberts C D 2023 arXiv:2303.00723 [hep-ph]
[63] Aicher M, Schäfer A, and Vogelsang W 2010 Phys. Rev. Lett. 105 252003
[64] Barry P C, Ji C R, Sato N, and Melnitchouk W 2021 Phys. Rev. Lett. 127 232001
[65] Joó B, Karpie J, Orginos K, Radyushkin A V, Richards D G, Sufian R S, and Zafeiropoulos S 2019 Phys. Rev. D 100 114512
[66] Sufian R S, Karpie J, Egerer C, Orginos K, Qiu J W, and Richards D G 2019 Phys. Rev. D 99 074507
[67] Alexandrou C, Bacchio S, Cloet I, Constantinou M, Hadjiyiannakou K, Koutsou G, and Lauer C 2021 Phys. Rev. D 104 054504
[68] Belitsky A and Radyushkin A 2005 Phys. Rep. 418 1
[69] Mezrag C 2022 Few-Body Syst. 63 62
[70] Mezrag C 2023 Particles 6 262
[71] Xu S S, Chang L, Roberts C D, and Zong H S 2018 Phys. Rev. D 97 094014
[72] Zhang J L, Raya K, Chang L, Cui Z F, Morgado J M, Roberts C D, and Rodrı́guez-Quintero J 2021 Phys. Lett. B 815 136158
[73] Cui Z F, Binosi D, Roberts C D, and Schmidt S M 2021 Phys. Lett. B 822 136631
[74] Lepage G and Brodsky S J 1979 Phys. Rev. Lett. 43 545 [Erratum: 1979 Phys. Rev. Lett. 43 1625]
[75] Efremov A V and Radyushkin A V 1980 Phys. Lett. B 94 245
[76] Lepage G P and Brodsky S J 1980 Phys. Rev. D 22 2157
[77] Polyakov M V and Schweitzer P 2018 Int. J. Mod. Phys. A 33 1830025
[78] Masuda M et al. 2016 Phys. Rev. D 93 032003
[79] Kumano S, Song Q T, and Teryaev O V 2018 Phys. Rev. D 97 014020
[80] Shastry V, Broniowski W, and Arriola E R 2022 Phys. Rev. D 106 114035
[81] Xing Z B, Ding M H, and Chang L 2023 Phys. Rev. D 107 (3) L031502
[82] Chen C, Chang L, Roberts C D, Wan S L, Schmidt S M, and Wilson D J 2013 Phys. Rev. C 87 045207
[83] Qin S X, Chen C, Mezrag C, and Roberts C D 2018 Phys. Rev. C 97 015203
[84] Dally E, Hauptman J, Kubic J et al. 1980 Phys. Rev. Lett. 45 232
[85] Amendolia S et al. 1986 Phys. Lett. B 178 435
[86] Badier J et al. 1980 Phys. Lett. B 93 354
[87] Punjabi V, Perdrisat C F, Jones M K, Brash E J, and Carlson C E 2015 Eur. Phys. J. A 51 79
[88] Gao H and Vanderhaeghen M 2022 Rev. Mod. Phys. 94 015002
[89] Cui Z F, Binosi D, Roberts C D, and Schmidt S M 2022 Chin. Phys. C 46 122001
[90] Lu Y, Chang L, Raya K, Roberts C D, and Rodrı́guez-Quintero J 2022 Phys. Lett. B 830 137130
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