Meson polarized distribution function and mass dependence ofthe nucleon parton densities

A. Mirjalili; K. Keshavarzian

doi:10.1088/1674-1137/38/8/083101

Chinese Physics C> 2014, Vol. 38> Issue(8) : 083101 DOI: 10.1088/1674-1137/38/8/083101

Meson polarized distribution function and mass dependence ofthe nucleon parton densities

A. Mirjalili ^, ,
K. Keshavarzian

1.
Physics Department, Yazd University, 89195-741, Yazd, Iran

Abstract
HTML
Reference
Related

PDF

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.

References

[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

[1]	E. Ya. Paryev . Momentum dependence of pion-induced φ meson production onnuclei near threshold. Chinese Physics C, 2018, 42(8): 084101. doi: 10.1088/1674-1137/42/8/084101
[2]	Bin Zhou , Zhi-Feng Sun , Xiang Liu , Shi-Lin Zhu . Chiral corrections to the 1^-+ exotic meson mass. Chinese Physics C, 2017, 41(4): 043101. doi: 10.1088/1674-1137/41/4/043101
[3]	Alireza Aleedaneshvar , Muhammad Goharipour , Saeedeh Rostami . Uncertainty of parton distribution functions due to physical observables in a global analysis. Chinese Physics C, 2017, 41(2): 023101. doi: 10.1088/1674-1137/41/2/023101
[4]	Muhammad Ikram , Zafar Yasin , Warda Iram , Shahida Jabeen . Cascade-exciton model analysis of mass dependence of pion-induced fission. Chinese Physics C, 2014, 38(7): 076101. doi: 10.1088/1674-1137/38/7/076101
[5]	LI Zhe , TUO Xian-Guo , YANG Jian-Bo , LIU Ming-Zhe , CHENG Yi , WANG Lei . Statistical distribution based detector response function ofSi (PIN) detector for K_α and K_β X-ray. Chinese Physics C, 2013, 37(1): 018202. doi: 10.1088/1674-1137/37/1/018202
[6]	DUAN Chun-Gui , LIU Na , MIAO Wen-Dan . The dependence of J/ψ-nucleon inelastic cross section on the Feynman variable. Chinese Physics C, 2011, 35(9): 804-807. doi: 10.1088/1674-1137/35/9/002
[7]	WANG Hong-Min , HOU Zhao-Yu , LIU Jia-Fu , SUN Xian-Jing . J/ψ-N center of mass energy dependence of nuclear absorption effect on J/ψ production. Chinese Physics C, 2010, 34(1): 22-27. doi: 10.1088/1674-1137/34/1/004
[8]	SHAO Li-Jing , ZHANG Yun-Hua , MA Bo-Qiang . Parton distribution functions and nuclear EMC effect in a statistical model. Chinese Physics C, 2010, 34(9): 1417-1420. doi: 10.1088/1674-1137/34/9/059
[9]	Atashbar Tehrani . Nucleon/nuclei polarized structure function, using Jacobi polynomials expansion. Chinese Physics C, 2010, 34(9): 1534-1537. doi: 10.1088/1674-1137/34/9/093
[10]	Julian Salamanca , Philip L , for the , CLAS collaboration . φ-meson photoproduction off the protons by using linearly polarized photons in the mid- to higher-t regimes at threshold energies. Chinese Physics C, 2009, 33(12): 1349-1353. doi: 10.1088/1674-1137/33/12/052
[11]	WANG Fan , CHEN Xiang-Song , SUN Wei-Min , . Nucleon internal structure: a new set of quark, gluon momentum, angular momentum operators and parton distribution functions. Chinese Physics C, 2009, 33(12): 1197-1204. doi: 10.1088/1674-1137/33/12/023
[12]	Yang Jianjun , Ma Boqiang , Li Guanglie . Nonperturbative Quark Propagator and Study of Nontrivial Q-Dependence in Nucleon Structure Functions. Chinese Physics C, 1997, 21(S1): 471-482.
[13]	He Zejun , Zhang Jiaju . Dilepton Invariant Mass Distribution in Central Rapidity Region. Chinese Physics C, 1995, 19(S4): 421-425.
[14]	He Zhenmin , Lin Zhongjin , Qin Kecheng , Peng Hongan . On the Testing of Models of the Pomeron Structure (Parton Distribution Functions). Chinese Physics C, 1995, 19(S2): 173-182.
[15]	Jing Guiru , Wang Guangjun , Ding Linkai , Jing Cailiu . Inelasticity of p-A Interactions and Its Dependence on Mass of Target. Chinese Physics C, 1994, 18(S4): 333-340.
[16]	Zhou Baosen , He Zejun . Effects of Particle Distribution on the Rates of s-Quark and K^--Meson Production. Chinese Physics C, 1991, 15(S4): 385-388.
[17]	Zhuang Pengfei , Liu Lianshou . Nonlinear Effects and Target Mass Dependence in High Energy Nucleus-Nucleus Collisions. Chinese Physics C, 1990, 14(S2): 179-187.
[18]	Qi Dahai , Sa Benhao . Statistical Description of the Incident Energy Dependence of Mass Distribution of Fragments in ¹²C (15--45 MeV/A) + ⁶³Cu reactions. Chinese Physics C, 1990, 14(S3): 319-323.
[19]	Cao Zhijun , Shen Jianping , Li Guanglie . The Role of Nucleon-Nucleon Short-Range Correlations in the Nuclear Structure Function in the x > 1 Region. Chinese Physics C, 1989, 13(S3): 281-288.
[20]	Li Zibang , Peng Hongan . Statistical Model for Partons in Nucleon, EMC Effect and Gluon Distribution Functions of Nucleon Inside Nuclei. Chinese Physics C, 1988, 12(S2): 165-174.

Access

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2013-08-20
Revised: 2014-03-22

Article Metric

Article Views(1781)
PDF Downloads(146)
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

Meson polarized distribution function and mass dependence ofthe nucleon parton densities

Corresponding author: A. Mirjalili,

1. Physics Department, Yazd University, 89195-741, Yazd, Iran

Received Date: 2013-08-20

Accepted Date: 2014-03-22

Available Online: 2014-08-05

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)

Meson polarized distribution function and mass dependence ofthe nucleon parton densities

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article