\begin{document}$\zeta_2:=2\,{\rm{GeV:}}\langle x_{\rm valence} \rangle = 0.48(3)$\end{document}, \begin{document}$\langle x_{\rm glue} \rangle = 0.41(2)$\end{document}, \begin{document}$\langle x_{\rm sea} \rangle = 0.11(2)$\end{document}; and despite hardening induced by the emergent phenomenon of dynamical chiral symmetry breaking, the valence-quark distribution function, \begin{document}$q^\pi(x)$\end{document}, exhibits the \begin{document}$x\simeq 1$\end{document} behaviour predicted by quantum chromodynamics (QCD). After evolution to \begin{document}$\zeta=5.2\,{\rm{GeV}}$\end{document}, the prediction for \begin{document}$q^\pi(x)$\end{document} matches that obtained using lattice-regularised QCD. This confluence should both stimulate improved analyses of existing data and aid in planning efforts to obtain new data on the pion distribution functions."> Drawing insights from pion parton distributions -
  • [1]

    A. Aprahamian et al, (2015)Reaching for the horizon: The 2015 long range plan for nuclear science

  • [2]

    Z. F. Ezawa, Nuovo Cim. A,23: 271-290 (1974)

  • [3]

    G. R. Farrar and D. R. Jackson, Phys. Rev. Lett.,35: 1416 (1975)

  • [4]

    E. L. Berger and S. J. Brodsky, Phys. Rev. Lett.,42: 940-944 (1979)

  • [5]

    J. Badier et al, Phys. Lett. B,93: 354 (1980)

  • [6]

    J. Badier et al, Z. Phys. C,18: 281 (1983)

  • [7]

    B. Betev et al, Z. Phys. C,28: 15 (1985)

  • [8]

    S. Falciano et al, Z. Phys. C,31: 513 (1986)

  • [9]

    M. Guanziroli et al, Z. Phys. C,37: 545 (1988)

  • [10]

    J. S. Conway et al, Phys. Rev. D,39: 92-122 (1989)

  • [11]

    J. Heinrich et al, Phys. Rev. D,44: 1909-1932 (1991)

  • [12]

    R. J. Holt and C. D. Roberts, Rev. Mod. Phys.,82: 2991-3044 (2010)

  • [13]

    M. B. Hecht, C. D. Roberts, and S. M. Schmidt, Phys. Rev. C,63: 025213 (2001)

  • [14]

    K. Wijesooriya, P. E. Reimer, and R. J. Holt, Phys. Rev. C,72: 065203 (2005)

  • [15]

    M. Aicher, A. Schäfer, and W. Vogelsang, Phys. Rev. Lett.,105: 252003 (2010)

  • [16]

    D. Adikaram et al, (2015)Measurement of Tagged Deep Inelastic Scattering (TDIS), approved Jefferson Lab experiment E12-15-006

  • [17]

    D. Adikaram et al, (2015)Measurement of Kaon Structure Function through Tagged Deep Inelastic Scattering (TDIS), approved Jefferson Lab experiment C12-15-006A

  • [18]

    J. R. McKenney, N. Sato, W. Melnitchouk et al, Phys. Rev. D,93: 054011 (2016)

  • [19]

    V. A. Petrov, R. A. Ryutin, A. E. Sobol et al, Eur. Phys. J. C,72: 1886 (2012)

  • [20]

    J. C. Peng and J. W. Qiu, The Universe,4: 34-44 (2016)

  • [21]

    J. C. Peng, W. C. Chang, S. Platchkov et al, (2017)Valence Quark and Gluon Distributions of Kaon from J/Psi Production, arXiv: 1711.00839[hep-ph]

  • [22]

    T. Horn, AIP Conf. Proc.,1970: 030003 (2018)

  • [23]

    O. Denisov et al, arXiv: 1808.00848[hep-ex]

  • [24]

    A. C. Aguilar et al,, Eur. Phys. J. A,55: 190 (2019)

  • [25]

    K. F. Liu and S. J. Dong, Phys. Rev. Lett.,72: 1790-1793 (1994)

  • [26]

    X. Ji, Phys. Rev. Lett.,110: 262002 (2013)

  • [27]

    A. V. Radyushkin, Phys. Lett. B,767: 314-320 (2017)

  • [28]

    A. V. Radyushkin, Phys. Rev. D,96: 034025 (2017)

  • [29]

    A. J. Chambers, R. Horsley, Y. Nakamura et al, Phys. Rev. Lett.,118: 242001 (2017)

  • [30]

    S. S. Xu, L. Chang, C. D. Roberts et al, Phys. Rev. D,97: 094014 (2018)

  • [31]

    J. H. Zhang, J. W. Chen, L. Jin et al, Phys. Rev. D,100: 034505 (2019)

  • [32]

    N. Karthik, T. Izubichi, L. Jin et al, PoS,LATTICE2018: 109 (2018)

  • [33]

    R. S. Sufian, J. Karpie, C. Egerer et al, Phys. Rev. D,99: 074507 (2019)

  • [34]

    C. Best et al, Phys. Rev. D,56: 2743-2754 (1997)

  • [35]

    W. Detmold, W. Melnitchouk, and A. W. Thomas, Phys. Rev. D,68: 034025 (2003)

  • [36]

    D. Brommel et al, PoS,LAT2007: 140 (2007)

  • [37]

    M. Oehm, C. Alexandrou, M. Constantinou et al, Phys. Rev. D,99: 014508 (2019)

  • [38]

    L. Chang, C. Mezrag, H. Moutarde et al, Phys. Lett. B,737: 23-29 (2014)

  • [39]

    C. Chen, L. Chang, C. D. Roberts et al, Phys. Rev. D,93: 074021 (2016)

  • [40]

    L. Chang, I. C. Cloët, C. D. Roberts et al, Phys. Rev. Lett.,111: 141802 (2013)

  • [41]

    K. Raya, L. Chang, A. Bashir et al, Phys. Rev. D,93: 074017 (2016)

  • [42]

    K. Raya, M. Ding, A. Bashir et al, Phys. Rev. D,95: 074014 (2017)

  • [43]

    F. Gao, L. Chang, Y. X. Liu et al, Phys. Rev. D,96: 034024 (2017)

  • [44]

    M. Ding, K. Raya, A. Bashir et al, Phys. Rev. D,99: 014014 (2019)

  • [45]

    M. Chen, M. Ding, L. Chang et al, Phys. Rev. D,98: 091505(R) (2018)

  • [46]

    S. X. Qin, L. Chang, Y. X. Liu et al, Phys. Rev. C,84: 042202(R) (2011)

  • [47]

    S. X. Qin, L. Chang, Y. X. Liu et al, Phys. Rev. C,85: 035202 (2012)

  • [48]

    D. Binosi, L. Chang, J. Papavassiliou et al, Phys. Lett. B,742: 183-188 (2015)

  • [49]

    D. Binosi, C. Mezrag, J. Papavassiliou et al, Phys. Rev. D,96: 054026 (2017)

  • [50]

    J. Rodríguez-Quintero, D. Binosi, C. Mezrag et al, Few Body Syst.,59: 121 (2018)

  • [51]

    P. Boucaud, J. P. Leroy, A. Le-Yaouanc et al, Few Body Syst.,53: 387-436 (2012)

  • [52]

    A. C. Aguilar, D. Binosi, and J. Papavassiliou, Front. Phys. China,11: 111203 (2016)

  • [53]

    B. L. Li, L. Chang, F. Gao et al, Phys. Rev. D,93: 114033 (2016)

  • [54]

    L. Schlessinger and C. Schwartz, Phys. Rev. Lett.,16: 1173-1174 (1966)

  • [55]

    L. Schlessinger, Phys. Rev.,167: 1411-1423 (1968), URLhttps://link.aps.org/doi/10.1103/PhysRev.167.1411

  • [56]

    R. A. Tripolt, I. Haritan, J. Wambach et al, Phys. Lett. B,774: 411-416 (2017)

  • [57]

    C. Chen, Y. Lu, D. Binosi et al, Phys. Rev. D,99: 034013 (2019)

  • [58]

    D. Binosi and R. A. Tripolt, arXiv: 190408172[hep-ph]

  • [59]

    L. Chang, I. C. Cloët, J. J. Cobos-Martinez et al, Phys. Rev. Lett.,110: 132001 (2013)

  • [60]

    F. Gao, L. Chang, Y. X. Liu et al, Phys. Rev. D,90: 014011 (2014)

  • [61]

    C. Shi, C. Chen, L. Chang et al, Phys. Rev. D,92: 014035 (2015)

  • [62]

    F. Gao, L. Chang, and Y. X. Liu, Phys. Lett. B,770: 551-555 (2017)

  • [63]

    B. L. Li, L. Chang, M. Ding et al, Phys. Rev. D,94: 094014 (2016)

  • [64]

    C. D. Roberts, Few Body Syst.,58: 5 (2017)

  • [65]

    P. J. Sutton, A. D. Martin, R. G. Roberts et al, Phys. Rev. D,45: 2349-2359 (1992)

  • [66]

    M. Glück, E. Reya, and I. Schienbein, Eur. Phys. J. C,10: 313-317 (1999)

  • [67]

    P. C. Barry, N. Sato, W. Melnitchouk et al, Phys. Rev. Lett.,121: 152001 (2018)

  • [68]

    G. Altarelli, Phys. Rept.,81: 1-129 (1982)

  • [69]

    D. Binosi, L. Chang, M. Ding et al, Phys. Lett. B,790: 257-262 (2019)

  • [70]

    S. X. Qin, C. D. Roberts, and S. M. Schmidt, Few Body Syst.,60: 26 (2019)

Baidu
map