K介子部分子分布函数的研究

高莹莹; 楼立洋; 阮建红

doi:10.3969/j.issn.1000-5641.2017.02.011

K介子部分子分布函数的研究

doi: 10.3969/j.issn.1000-5641.2017.02.011

华东师范大学物理与材料学院, 上海 200241

详细信息

作者简介:
高莹莹, 女, 硕士研究生, 研究方向为粒子物理与场论.E-mail:gaoyingying0908@163.com

通讯作者:
阮建红, 女, 教授, 研究方向为粒子物理与场论.E-mail:jhruan@phy.ecnu.edu.cn

中图分类号: O572.2
计量
- 文章访问数: 412
- HTML全文浏览量: 95
- PDF下载量: 485
- 被引次数: 0
出版历程
- 收稿日期: 2016-01-13
- 刊出日期: 2017-03-25

Research on the kaon parton distribution functions

School of Physics and Materials Science, East China Normal University, Shanghai 200241, China

摘要

摘要: 核子和介子中的部分子分布函数是描述其性质的基本物理量，但不同研究小组给出的分布函数并不一致.从最简单的价夸克模型出发，提出了在某一低动量标度（Q²）下K介子完全由价夸克组成，胶子和海夸克都是通过量子色动力学（Quantum Chromodynamics，QCD）辐射产生.根据一个考虑了部分子间重组效应的演化方程——Modified Dokshitzer-Gribov-Lipatov-Altarelli-Parisi（MD-DGLAP）方程和相应的实验数据，给出了K介子的初始价夸克分布函数，对高动量标度下的部分子分布进行了预言，并与其他模型进行了比较分析.
- DGLAP演化方程 /
- 部分子分布函数 /
- π介子 /
- K介子
Abstract: The parton distribution functions of nucleons and mesons are basic physical quantities, while different research groups have got different results. With a very simple model that kaon is made up of only valence quarks at a low Q² scale, the gluons and sea quarks are generated completely through the quantum chromodynamics (QCD) radiations. The modified dokshitzer-gribov-lipatov-altarelli-parisi (MD-DGLAP) equations is used as the QCD dynamical evolution equations. It is shown that the results can fit the experiments well. Compared the parton distributions and momentum distributions with the other models, the differences are obvious. We hope that future experiments can check them.
- dokshitzer-gribov-lipatov-altarelli-parisi equation /
- parton distribution function /
- pion /
- kaon

HTML全文

图 1 $Q^2=0.074$ GeV $^2$ 时K介子中价夸克的分布

Fig. 1 $Q^2=0.074$ GeV $^2$ in kaon

下载: 全尺寸图片幻灯片

图 2 ${\rm u}_{\rm K} (x)/{\rm u}_{\pi}(x)$ 与实验数据及其他模型的比较

Fig. 2 Comparison of our results with NA3 experiment data and other models

下载: 全尺寸图片幻灯片

图 3 $Q^2=20$ GeV $^2$ 时不同模型的价夸克分布的比较

Fig. 3 Comparison of the valence quark distributions with other models at $Q^2=20$ GeV $^2$

下载: 全尺寸图片幻灯片

图 4 海夸克和胶子分布的预言 (实线) 与GRS模型 (虚线) 的比较

Fig. 4 The predicted parton distributions comparing with GRS model

下载: 全尺寸图片幻灯片

图 5 K介子中部分子动量随 $Q^2$ 的变化

Fig. 5 The predicted parton momentum fractions in kaon

下载: 全尺寸图片幻灯片

参考文献(25)

[1]	GLUCK M, REYA E, STRATMANN M. Mesonicparton densities derived from constituent quark model constraints[J]. European Physical Journal C, 1998, 2:159-163. doi: 10.1007/s100520050130
[2]	GLUCK M, REYA E, SCHIENBEIN I. Pionicparton distributions revisited[J]. European Physical Journal C, 1999, 10:313-317. doi: 10.1007/s100529900124
[3]	MARTIN A D, ROBERTS R G, STIRLING W J, et al. MRST2001:Partons and α_s from precise deep inelastic scattering and Tevatron jet data[J]. European Physical Journal C, 2002, 23:73-87. doi: 10.1007/s100520100842
[4]	MARTIN A D, ROBERTS R G, STIRLING W J, et al. Uncertainties of predictions from parton distributions.:Experimental errors[J]. European Physical Journal C, 2003, 28:455-473. doi: 10.1140/epjc/s2003-01196-2
[5]	MARTIN A D, STIRLING W J, THORNE R S. MRST partons generated in a fixed-flavor scheme[J]. Physics Letters B, 2006, 636:259-264. doi: 10.1016/j.physletb.2006.03.054
[6]	STERMAN G, SMITH J, COLLINS J C, et al (CTEQ Collaboration Group). Handbook of perturbative QCD[J]. Reviews of Modern Physics, 1995, 67:157-248. doi: 10.1103/RevModPhys.67.157
[7]	NADOLSKY P M, LAI H L, CAO Q H, et al. Implications of CTEQ global analysis for collider observables[J]. Physical Review D, 2008, 78:013004. DOI: 10.1103/PhysRevD.78.013004.
[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. http://xblk.ecnu.edu.cn/CN/abstract/abstract25074.shtml
[9]	NOVIKOV V A, SHIFMAN M A, VAINSHTEIN A I, et al. Deep-inelastic scattering of leptons by hadrons and bremsstrahlung of gluons[J]. Journal of Experimental and Theoretical Physics Letters, 1976, 24(6):341-344.
[10]	PARISI G, PETRONZIO R. On the Breaking of BjorkenScaling[J]. Physics Letters B, 1976, 62(3):331-334. doi: 10.1016/0370-2693(76)90088-5
[11]	GLUCK M, REYA E, VOGT A. Dynamical parton distributions revisited[J]. European Physical Journal C, 1998, 5:461-470. doi: 10.1007/s100529800978
[12]	CHEN X R, RUAN J H, WANG R, et al. Applications of a nonliner evolution equation.:The parton distributions in the proton[J]. International Journal of Modern Physics E, 2014, 23:1450057. https://arxiv.org/pdf/1306.1872v2.pdf
[13]	CHEN X R, RUAN J H, WANG R, et al, Applications of a nonliner evolution equation Ⅱ:The EMC effect[J]. International Journal of Modern Physics E, 2014, 23:1450058. http://adsabs.harvard.edu/abs/2014IJMPE..2350058C
[14]	CHEN X R, RUAN J H, WANG R, et al. Nucleon spin structure[J]. International Journal of Modern Physics E, 2015, 24:1550077.
[15]	LOU L Y, RUAN J H. A new research about pion parton distribution function[J]. Chinese Physics Letters, 2015, 32(5):051201. doi: 10.1088/0256-307X/32/5/051201
[16]	GRIBOV L V, LEVIN E M, RYSKIN M G. Semihard processes in QCD[J]. Physics Reports, 1983, 100:1-150. doi: 10.1016/0370-1573(83)90022-4
[17]	MUELLER A H, QIU J W. Gluon recombination and shadowing at small values of x[J]. Nuclear Physics B, 1986, 268(2):427-452. doi: 10.1016/0550-3213(86)90164-1
[18]	ZHU W, RUAN J H. A new modified altarelli-parisi evolution equation with parton recombinationin proton[J]. Nuclear Physics B, 1999, 559:378-392. doi: 10.1016/S0550-3213(99)00461-7
[19]	ZHU W. A New approach to parton recombination in a QCD evolution equation[J]. Nuclear Physics B, 1999, 551:245-274. doi: 10.1016/S0550-3213(99)00237-0
[20]	ZHU W, SHEN Z Q, RUAN J H. Parton recombination effect in polarized partondistributions[J]. Nuclear Physics B, 2004, 692:417-433. doi: 10.1016/j.nuclphysb.2004.06.001
[21]	ZHU W, SHEN Z Q. Properties of the gluon recombination functions[J]. Physics and Nuclear Physics, 2005(2):109-114.
[22]	BADIER J, BOUCROT J, BOUROTTE J, et al. Measurement of the K^-/π^- structure function ratio using the Drell-Yan process[J]. Physics Letter B, 1980, 93:354-362. doi: 10.1016/0370-2693(80)90530-4
[23]	SHIGETANI T, SUZUKI K, TOKI H. Pion structure function in the Nam and Jona-Lasinio model[J]. Physics Letters B, 1993, 308:383-388. doi: 10.1016/0370-2693(93)91302-4
[24]	HOLT R J, ROBERTS C D. Distribution functions of the nucleon and pion in the valence region[J]. Review of Modern Physics, 2010, 82:2991-3044. doi: 10.1103/RevModPhys.82.2991
[25]	NAM S. Parton-distribution functions for the pion and kaon in the gauge-invariant nonlocal chiral-quark model[J]. Physical Review D, 2012, 86:074005. DOI: 10.1103/PhysRevD.86.074005.