华东师范大学学报（自然科学版） >

2019 , Vol. 2019 >Issue 2: 106 - 115

DOI: https://doi.org/10.3969/j.issn.1000-5641.2019.02.011

物理学与电子学

对部分子碎裂为质子的碎裂函数的研究

  • 李培育 ,
  • 阮建红
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  • 华东师范大学 物理与材料科学学院, 上海 200241
李培育,女,硕士研究生,研究方向为粒子物理.E-mail:2324861291@qq.com.

收稿日期: 2018-01-16

  网络出版日期: 2019-03-27

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Research on parton fragmentation functions of protons

  • LI Pei-yu ,
  • RUAN Jian-hong
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  • School of Physics and Materials Science, East China Normal University, Shanghai 200241, China

Received date: 2018-01-16

  Online published: 2019-03-27

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摘要

部分子的分布函数和碎裂函数是研究和分析高能物理实验的重要基础.对质子的价夸克分布函数q（x）和价夸克碎裂为质子的碎裂函数D（x）的关系进行了分析，发现D（x）=（1/6）q（x）可以很好地将它们联系起来.因此，可以通过比较成熟的质子的部分子分布函数来构建部分子碎裂为质子的碎裂函数.利用此关系，建立了一组新的碎裂函数的参数式，计算了相应的微分散射截面并与实验进行了比较.此工作可以确定价夸克碎裂为质子的碎裂函数，以减少拟合部分子碎裂函数时的不确定性.

关键词： 分布函数; 碎裂函数; 结构函数; 湮灭

本文引用格式

李培育 , 阮建红 . 对部分子碎裂为质子的碎裂函数的研究[J]. 华东师范大学学报（自然科学版）, 2019 , 2019(2) : 106 -115 . DOI: 10.3969/j.issn.1000-5641.2019.02.011

Abstract

Parton distribution functions and fragmentation functions are fundamental to analyzing high energy experiments.The relationship between the proton valence quark distribution function q(x) and fragmentation function D(x) is analyzed. We find that the simple function D(x)=(1/6)q(x) for a valence quark is a good approximation to describe the available data. We set up a group of new parameterizations of fragmentation functions for protons. Differential cross section data were calculated and compared with recent research. We hope that our work can diminish uncertainties when fitting parton fragmentation functions of protons.

Key words： distribution function; fragmentation function; structure function; annihilation

参考文献

[1] OWENS J F, TUNG W K. Parton Distribution Functions of Hadrons[J]. Annual Review of Nuclear & Particle Science, 1992, 42:291-332.
[2] METZ A, VOSSEN A. Parton fragmentation functions[J]. Progress in Particle & Nuclear Physics, 2016, 91:136-202.
[3] ALTARELLI G, PARISI G. Asymptotic freedom in parton language[J]. Nuclear Physical B, 1977, 126:298-318.
[4] GLUCK M, JIMENEZ-DELGADO P, REYA E. Dynamical parton distributions of the nucleon and very small-x physics[J]. European Physical Journal C, 2008, 53(3):355-366.
[5] RUAN J H, ZHU W. Prediction for unintegrated parton distributions[J]. Physical Review C, 2009, 80:045209.
[6] MARTIN A D, STIRLING W J, THORNE R S, et al. Parton distributions for the LHC[J]. European Physical Journal C, 2009, 63(2):189-285.
[7] PUMPLIN J, STUMP D R, HUSTON J, et al. New generation of parton distributions with uncertainties from global QCD analysis[J]. Acta Physica Polonica, 2002, 33(7):742-746.
[8] 徐仕磊, 阮建红. 核子中部分子分布函数的研究[J]. 华东师范大学学报(自然科学版), 2015(1):195-202.
[9] DE FLORIAN D, SASSOT R, STRATMANN M. Global analysis of fragmentation functions for protons and charged hadrons[J]. Physical Review D, 2007, 76:074033.
[10] HIRAI M, KUMANO S, NAGAI T H, et al. Determination of fragmentation functions and their uncertainties[J]. Physical Review D, 2007, 75:094009.
[11] NEJAD S M M, SOLEYMANINIA M, MAKTOUBIAN A. Proton fragmentation functions considering finitemass corrections[J]. European Physical Journal A, 2016, 52(10):316-328.
[12] DRELL S D, LEVY D J, YAN T M. Theory of deep-inelastic lepton-nucleon scattering and lepton-pair annihilation processes I[J]. Physical Review, 1969, 187(5):2159-2171.
[13] DRELL S D, LEVY D J, YAN T M. Theory of deep-inelastic lepton-nucleon scattering and lepton-pair annihilation Processes Ⅲ-Deep-inelastic electron scattering[J]. Physical Review D, 1970, 6(1):1617-1639.
[14] YAN T M, DRELL S D. Theory of deep-inelastic lepton-nucleon scattering and lepton pair annihilation processes IV-Deep-inelastic neutrino scattering[J]. Physical Review D, 1970, 8(1):2402-2413.
[15] GRIBOV V N, LIPATOV L N. Deep inelastic electron scattering in perturbation theory[J]. Physics Letters B, 1996, 37(1):78-80.
[16] BARONE V, DRAGO A, MA B Q. Connection between distribution and fragmentation functions[J]. Physical Review C, 2000, 62(6):597-604.
[17] CALLAN C G, GROSS D J. High-energy electroproduction and the constitution of the electric current[J]. Physical Review Letters, 1969, 22(4):156-159.
[18] FISHBANE P M, SULLIVAN J D. Bjorken scaling and structure-function relations in perturbation theory[J]. Physical Review D, 1972, 6(2):645-654.
[19] FISHBANE P M, SULLIVAN J D. Inelastic e+e-annihilation in perturbation theory[J]. Physical Review D, 1972, 6(12):3568-3587.
[20] EYLON Y, ZARMI Y. On the hadron-parton reciprocity relation[J]. Nuclear Physics B, 1974, 83(3):475-492.
[21] JAFFE R L, MEYER H, PILLER G. Spin, twist and hadron structure in deep inelastic processes[J]. Lecture Notes in Physics, 1997, 496:178-249.
[22] FIELD R D, FEYNMAN R P. Quark elashc scattering as a source of high-transverse-momentum mesons*[J]. Physical Review D, 1977, 15(9):2590-2616.
[23] BARATE R, BUSKULIC D, DECAMP D, et al. Studies of Quantum chromodynamics with the ALEPH detector[J]. Physics Reports, 1998, 294(1/3):1-165.
[24] ABE K, ABE K, ABE T,et al. Production of π+, K+, K0, K*0, φ, p and ∧0 in hadronic Z0 decays[J]. Physical Review D, 1999, 59:052001.
[25] BRAUNSCHWEIG W, GERHARDS R, KIRSCHFINK F J, et al. Pion, kaon and proton cross sections in e+e- annihilation at 34 GeV and 44 GeV c.m. energy[J]. Zeitschrift Für Physik C Particles & Fields, 1989, 42(2):189-197.
[26] AIHARA H, ALSTON-GARNJOST M, BADKE D H. et al. Charged hadron production in e+e- annihilation at 29 GeV[J]. Physical Review Letters, 1984, 52(8):577-580.
[27] AIHARA H, ALSTON-GARNJOST M, AVERY R E.et al. Charged-hadron inclusive cross sections and fractions in e+e- annihilation at √s=29 GeV[J]. Physical Review Letters, 1988, 61(11):1263-1266.
[28] BERTONE V, CARRAZZA S, HARTLAND N P, et al. A determination of the fragmentation functions of pions, kaons, and protons with faithful uncertainties[J]. European Physical Journal C, 2017, 77(8):516-566.
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