Empirical Determination of the Pion Mass Distribution

doi:10.1088/0256-307X/40/4/041201

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. Xu^1,2, K. Raya¹, Z.-F. Cui^3,4, C. D. Roberts^3,4*, 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

Cite this article:

Y.-Z. Xu, K. Raya, Z.-F. Cui et al 2023 Chin. Phys. Lett. 40 041201

Download: PDF(7369KB) PDF(mobile)(7382KB) HTML
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

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.))

TRENDMD:

URL:

https://cpl.iphy.ac.cn/10.1088/0256-307X/40/4/041201 OR https://cpl.iphy.ac.cn/Y2023/V40/I4/041201

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	Y.-Z. Xu
	K. Raya
	Z.-F. Cui
	C. D. Roberts
	and J. Rodríguez-Quintero

[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

Related articles from Frontiers Journals

[1]	Qing Yu, Hua Zhou, Xu-Dong Huang, Jian-Ming Shen, and Xing-Gang Wu. Novel and Self-Consistency Analysis of the QCD Running Coupling $\alpha_{\rm s}(Q)$ in Both the Perturbative and Nonperturbative Domains[J]. Chin. Phys. Lett., 2022, 39(7): 041201
[2]	Zhu-Fang Cui, Fei Gao, Daniele Binosi, Lei Chang, Craig D. Roberts, and Sebastian M. Schmidt. Valence Quark Ratio in the Proton[J]. Chin. Phys. Lett., 2022, 39(4): 041201
[3]	Lei Chang and Craig D. Roberts. Regarding the Distribution of Glue in the Pion[J]. Chin. Phys. Lett., 2021, 38(8): 041201
[4]	ZHU Hui-Xia, SUN Wei-Min, ZONG Hong-Shi. The Quark Number Susceptibility of QCD at Finite Temperature and Chemical Potential[J]. Chin. Phys. Lett., 2013, 30(5): 041201
[5]	Ali Reza Sepehri, Somayyeh Shoorvazi. *Calculation of a Three-Jet Cross Section via the e⁺e^?→Hadronic Rindler Horizon→ qqg* Process**[J]. Chin. Phys. Lett., 2013, 30(2): 041201
[6]	YAN Yan, CAO Jing, LUO Xin-Lian, SUN Wei-Min, ZONG Hong-Shi. Quark Stars Investigated using an Improved Quasi-Particle Model[J]. Chin. Phys. Lett., 2012, 29(10): 041201
[7]	JIA Duo-Jie, WANG Xiao-Wei, LIU Feng . Analytical Solution for the SU(2) Hedgehog Skyrmion and Static Properties of Nucleons[J]. Chin. Phys. Lett., 2010, 27(12): 041201
[8]	XIANG Wen-Chang, WANG Sheng-Qin, ZHOU Dai-Cui. Hadron Multiplicities in Pb+Pb Collisions at the Large Hadron Collider and Pomeron Loop Effects[J]. Chin. Phys. Lett., 2010, 27(7): 041201
[9]	ZHANG Yan-Bin, SUN Wei-Min, LÜ, Xiao-Fu, ZONG Hong-Shi,. Revisiting Chiral Extrapolation by Studying a Lattice Quark Propagator[J]. Chin. Phys. Lett., 2009, 26(8): 041201
[10]	ZENG Dai-Min, WU Xing-Gang, FANG Zhen-Yun. B-Meson Wavefunction by a Comparative Analysis of the B→π,K Transition Form Factors[J]. Chin. Phys. Lett., 2009, 26(2): 041201
[11]	HE Deng-Ke, JIANG Yu, FENG Hong-Tao, SUN Wei-Min, ZONG Hong-Shi,. Quark-Number Susceptibility at Finite Chemical Potential and Zero Temperature[J]. Chin. Phys. Lett., 2008, 25(2): 041201
[12]	ZENG Dai-Min, WU Xing-Gang, FANG Zhen-Yun. B→K Transition Form Factor with Tensor Current within the k_T Factorization Approach[J]. Chin. Phys. Lett., 2008, 25(2): 041201
[13]	YANG Shu, GUO Hua, ZHAO En-Guang, Lü Xiao-Fu,. QCD Phase Transitions and Bag Constants at Finite Chemical Potential[J]. Chin. Phys. Lett., 2007, 24(11): 041201
[14]	QIU Cong-Xin, XU Ren-Xin. Colour-Charged Quark Matter in Astrophysics?[J]. Chin. Phys. Lett., 2006, 23(12): 041201
[15]	DONG Yu-Bing. Proton Spin Structure Functions and Quark--Hadron Duality[J]. Chin. Phys. Lett., 2006, 23(9): 041201

Viewed

Full text

Abstract