Meson polarized distribution function and mass dependence ofthe nucleon parton densities

  • The polarized distribution functions of mesons, including pion, kaon and eta, using the proton structure function, are calculated. We are looking for a relationship between the polarized distribution of mesons and the polarized structure of nucleons. We show that the meson polarized parton distributions leads to zero total spin for the concerned mesons, considering the orbital angular momentum of quarks and gluons inside the meson. Two separate Monte Carlo algorithms are applied to compute the polarized parton distributions of the kaon. Via the mass dependence of quark distributions, the distribution function of the eta meson is obtained. A new method by which the polarized sea quark distributions of protons are evolved separately -which cannot be performed easily using the standard solution of DGLAP equations -is introduced. The mass dependence of these distributions is obtained, using the renormalization group equation which makes their evolutions more precise. Comparison between the evolved distributions and the available experimental data validates the suggested solutions for separated evolutions.
      PCAS:
  • 加载中
  • [1] Manohar A, Georgi H. Nucl. Phys. B, 1984, 234: 189[2] Suzuki K, Weise W. Nucl. Phys. A, 1998, 634: 141[3] Brommel D et al. Phys. Rev. Lett., 2008, 101: 122001[4] MA B Q. Z. Phys. A, 1993, 345: 321[5] Nam S, Kim H C. Phys. Lett. B, 2011, 700: 305[6] JI X, TANG J, Hoodbhoy P. Phys. Rev. Lett., 1996, 76: 740[7] DONG Y B. Phys. Lett. B, 2007, 653: 18[8] Wandzura S, Wilczek F. Phys. Lett. B, 1977, 72: 5[9] Ball P. JHEP, 1999, 9901:010[10] Abe K et al. (E 143 collab.). Phys. Rev. D, 1998, 58: 112003[11] Badier J et al. (NA3 experiment). Phys. Lett. B, 1980, 93:354[12] Hwa R C, Zahir M S. Phys. Rev. D, 1981, 23: 2539[13] Hwa R C. Phys. Rev. D, 1980, 22: 759[14] Hwa R C. Phys. Rev. D, 1980, 22: 1593[15] Hwa R C, YANG C B. Phys. Rev. C, 2002, 66: 025204[16] Glueck M, Reya E, Stratmann M, Vogelsang W. Phys. Rev. D, 2001, 63: 094005[17] Mirjalili A, Keshavarzian K, Yazdanpanah M M. Int. J. Mod. Phys. A, 2012, 27: 1250003[18] Airapetian A et al. (HERMES collab.). Phys. Rev. Lett., 2004,92: 012005[19] Airapetian A et al. (HERMES collab.), Phys. Rev. D, 2005,71: 012003[20] Adeva B et al. (SMC collab.). Phys. Lett. B, 1996, 369: 93[21] Szczurek A, Buchmann A J, Faessler A. J. Phys. G: Nucl. Part. Phys., 1996, 22: 1741[22] Weinberg S. Phys. Rev. Lett., 1990, 65: 1181[23] Keshavarzian K, Mirjalili A, Yazdanpanah M M. Int. J. Mod. Phys. A, 2008, 23: 5037[24] Nambu Y, Jona-Lasinio G. Phys. Rev., 1961, 122: 345[25] Ellis J, Jaffe R L. Phys. Rev. D, 1974, 9: 1444; 10: 1669[26] Alekseev M G et al. (COMPASS collab.). Phys. Lett. B, 2010,690: 466[27] Conway J S et al. Phys. Rev. D, 1989, 39: 92[28] Glüuk M, Reya E, Vogt A. Z. Phys. C, 1995, 67: 433[29] Glüuck M, Reya E, Stratmann M, Vogelsang W. Nucl. Phys. B, 2002, 636: 225[30] Goto Y et al. Phys. Rev. D, 2000, 62: 034017[31] Mirjalili A, Keshavarzian K. Int. J. Mod. Phys. A, 2007, 22:4519[32] Glüuck M, Reya E, Stratmann M. Eur. Phys. J. C, 1998, 2: 159[33] Glüuck M, Reya E, Schienbein I. Eur. Phys. J. C, 1999, 10: 313[34] Weinberg S. Phys. Rev. D, 1973, 8: 3497[35] Ellis R K, Stirling W J, Webber B R. QCD and Collider Physics. Second Edition. Cambridge: Cambridge University Press, 1996. 84[36] Bates D M, Watts D G. Nonlinear Regression Analysis and its Applications, New York: John Wiley Sons, 1988. 227[37] Meyer R R, Roth P M. J. Inst. Math. Appl., 1972, 9: 218[38] Ratkowsky D A. Nonlinear Regression Modeling; A Uni ed Practical. New York: Marcel Decker Company, 1983. 23
  • 加载中

Get Citation
A. Mirjalili and K. Keshavarzian. Meson polarized distribution function and mass dependence ofthe nucleon parton densities[J]. Chinese Physics C, 2014, 38(8): 083101. doi: 10.1088/1674-1137/38/8/083101
A. Mirjalili and K. Keshavarzian. Meson polarized distribution function and mass dependence ofthe nucleon parton densities[J]. Chinese Physics C, 2014, 38(8): 083101.  doi: 10.1088/1674-1137/38/8/083101 shu
Milestone
Received: 2013-08-20
Revised: 2014-03-22
Article Metric

Article Views(851)
PDF Downloads(140)
Cited by(0)
Policy on re-use
To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

Meson polarized distribution function and mass dependence ofthe nucleon parton densities

    Corresponding author: A. Mirjalili,
  • 1. Physics Department, Yazd University, 89195-741, Yazd, Iran

Abstract: The polarized distribution functions of mesons, including pion, kaon and eta, using the proton structure function, are calculated. We are looking for a relationship between the polarized distribution of mesons and the polarized structure of nucleons. We show that the meson polarized parton distributions leads to zero total spin for the concerned mesons, considering the orbital angular momentum of quarks and gluons inside the meson. Two separate Monte Carlo algorithms are applied to compute the polarized parton distributions of the kaon. Via the mass dependence of quark distributions, the distribution function of the eta meson is obtained. A new method by which the polarized sea quark distributions of protons are evolved separately -which cannot be performed easily using the standard solution of DGLAP equations -is introduced. The mass dependence of these distributions is obtained, using the renormalization group equation which makes their evolutions more precise. Comparison between the evolved distributions and the available experimental data validates the suggested solutions for separated evolutions.

    HTML

Reference (1)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return