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

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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.

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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

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Received: 2013-08-20
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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.

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Meson polarized distribution function and mass dependence ofthe nucleon parton densities

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