Vector - axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model

被引:5
作者
Broniowski, Wojciech [1 ,2 ]
Arriola, Enrique Ruiz [3 ,4 ]
机构
[1] Polish Acad Sci, H Niewodniczanski Inst Nucl Phys, PL-31342 Krakow, Poland
[2] Jan Kochanowski Univ, Inst Phys, PL-25406 Kielce, Poland
[3] Univ Granada, Dept Fis Atom Mol & Nucl, E-18071 Granada, Spain
[4] Univ Granada, Inst Carlos I Fis Teor & Computac, E-18071 Granada, Spain
关键词
Valence parton distribution function of the pion; Nambu-Jona-lasinio model; Good lattice QCD cross sections; Chiral symmetry; PSEUDOSCALAR MESONS; SCATTERING; EVOLUTION; PHOTON; SPACE;
D O I
10.1016/j.physletb.2020.135803
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Within a chiral quark model, we evaluate the good cross section in the Euclidean space in the vector - axial vector channel, proposed recently by Ma and Qiu as means to extract the so far elusive parton distribution functions of the pion from lattice QCD. Our results are remarkably simple at the quark model scale and agree well, after the necessary QCD evolution, with the most recent lattice calculations at the scale mu similar to 2 GeV for various values of the lattice pion mass. Comparisons are made as functions of the Ioffe time variable. We also comment on the information on the lowest moments in the momentum fraction x, generically extractable from such analyses, as well as on the inaccessibility of the x -> 1 limit from the present data. (C) 2020 The Author(s). Published by Elsevier B.V.
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页数:5
相关论文
共 67 条
  • [1] Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
    Aicher, Matthias
    Schaefer, Andreas
    Vogelsang, Werner
    [J]. PHYSICAL REVIEW LETTERS, 2010, 105 (25)
  • [2] Alexandrou Constantia, 2018, EPJ Web of Conferences, V175, DOI 10.1051/epjconf/201817514008
  • [3] Lattice calculation of parton distributions
    Alexandrou, Constantia
    Cichy, Krzysztof
    Drach, Vincent
    Garcia-Ramos, Elena
    Hadjiyiannakou, Kyriakos
    Jansen, Karl
    Steffens, Fernanda
    Wiese, Christian
    [J]. PHYSICAL REVIEW D, 2015, 92 (01):
  • [4] ASYMPTOTIC FREEDOM IN PARTON LANGUAGE
    ALTARELLI, G
    PARISI, G
    [J]. NUCLEAR PHYSICS B, 1977, 126 (02) : 298 - 318
  • [5] Arriola E. Ruiz, 2003, ARXIVHEPPH0310044
  • [6] Spectral quark model and low-energy hadron phenomenology
    Arriola, ER
    Broniowski, W
    [J]. PHYSICAL REVIEW D, 2003, 67 (07)
  • [7] Arriola ER, 2002, ACTA PHYS POL B, V33, P4443
  • [8] Pion light-cone wave function and pion distribution amplitude in the Nambu-Jona-Lasinio model
    Arriola, ER
    Broniowski, W
    [J]. PHYSICAL REVIEW D, 2002, 66 (09)
  • [10] First Monte Carlo Global QCD Analysis of Pion Parton Distributions
    Barry, P. C.
    Sato, N.
    Melnitchouk, W.
    Ji, Chueng-Ryong
    [J]. PHYSICAL REVIEW LETTERS, 2018, 121 (15)