FORTRAN program for a numerical solution of the nonsinglet Altarelli-Parisi equation

Kobayashi, Riki; Konuma, Michiji; Kumano, S.

doi:10.1016/0010-4655(94)00159-y

Cited by 36 publications

(20 citation statements)

References 26 publications

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“…For this procedure, we utilize the DGLAP evolution code [35], and the results presented here are obtained at NLO accuracy. For the fitting, the MINUIT package [36] is used.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Kaon quark distribution functions in the chiral constituent quark model

2018

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We investigate the valence u ands quark distribution functions of the K þ meson, v KðuÞ ðx; Q 2 Þ and v KðsÞ ðx; Q 2 Þ, in the framework of the chiral constituent quark model. We judiciously choose the bare distributions at the initial scale to generate the dressed distributions at the higher scale, considering the meson cloud effects and the QCD evolution, which agree with the phenomenologically satisfactory valence quark distribution of the pion and the experimental data of the ratio v KðuÞ ðx;Q 2 Þ=v πðuÞ ðx;Q 2 Þ. We show how the meson cloud effects affect the bare distribution functions in detail. We find that a smaller SUð3Þ flavor symmetry breaking effect is observed, compared with results of the preceding studies based on other approaches.

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“…For this procedure, we utilize the DGLAP evolution code [35], and the results presented here are obtained at NLO accuracy. For the fitting, the MINUIT package [36] is used.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Kaon quark distribution functions in the chiral constituent quark model

2018

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“…3. These initial distributions are evolved using the code of Kumano and co-workers [99,100] to final momentum transferred and compared with experimental results. The code uses the modified minimal subtraction ͑MS͒ renormalization scheme and calculates Q 2 evolution to the nextto-leading order of the running coupling constant with QCD scale parameter of 0.2 GeV.…”

Section: Resultsmentioning

confidence: 99%

Contribution of the pseudoscalar and vector mesons to the nucleon’sg1structure function

Zamani

2003

Phys. Rev. C

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This is the third part of a series of work that we have done in the context of the meson cloud model. In the first two parts [F. Zamani, Phys. Rev. C 58, 3641 (1998); F. Zamani and D. Saranchak, Phys. Rev. C 63, 065202 (2001)] we used pseudoscalar mesons to calculate unpolarized and polarized quark distribution functions along with the nucleon's F 2 and g 1 structure functions. Now we have added the vector mesons to the meson cloud to calculate the polarized quark distribution functions and g 1 structure function. The calculation is performed in the light-cone frame. The dressed nucleon is assumed to be a superposition of the bare nucleon plus virtual light-cone Fock states of baryon-meson pairs. For bare nucleon we consider both the case of diquark-quark clustering and the case where there is no quark clustering inside the nucleon. The initial distributions are evolved. The final results are compared with experimental results and other theoretical predictions.

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“…t = 0.3, as defined in Refs. [116,117]. Also, we have assumed that there is no initial gluon polarization.…”

Section: Fig 2 Initial X U and X D Distributions For Dressed Nucleonmentioning

confidence: 99%

“…Also, the set 3 results are more comparable with the set 2 results rather than with those of the set 1. These initial distributions are evolved using the code of Kumano and collaborators [116,117] to final momentum transferred and are compared with experimental results. The code uses the modified minimal subtraction (MS) renormalization scheme and calculates Q 2 evolution to the next-to-leading order of the running coupling constant with QCD scale parameter of 0.2 GeV.…”

Section: Fig 2 Initial X U and X D Distributions For Dressed Nucleonmentioning

confidence: 99%

Contribution of the spin-1 diquark to the nucleon’sg1structure function

Zamani

2010

Phys. Rev. C

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This is the final installment of a series of work that we have done in the context of the meson cloud model that investigates F 2 and g 1 structure functions. In our previous work on g 1 structure function, we showed that having a spin-0 quark-diquark for the nucleon core along with both pseudoscalar and vector meson clouds was not sufficient to reproduce experimental observation(s) consistently. For the F 2 structure function, we found that both superposition of a spin-0 diquark and a spin-1 diquark in the nucleon core along with pseudoscalar and vector meson clouds are needed to reproduce the observed F 2 (x) and the Gottfried sum rule (GSR) violation. Therefore, in the present work, we consider the contribution of a spin-1 diquark in the nucleon core to the g 1 structure function. The calculation is performed in the light-cone frame. The dressed nucleon is assumed to be a superposition of the bare nucleon plus virtual light-cone Fock states of baryon-meson pairs. For the bare nucleon, we consider different quark-diquark configurations along with the possibility that there is no diquark inside the nucleon. The initial distributions are evolved. The final results are compared with experimental results and other theoretical predictions.

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FORTRAN program for a numerical solution of the nonsinglet Altarelli-Parisi equation

Cited by 36 publications

References 26 publications

Kaon quark distribution functions in the chiral constituent quark model

Kaon quark distribution functions in the chiral constituent quark model

Contribution of the pseudoscalar and vector mesons to the nucleon’sg1structure function

Contribution of the spin-1 diquark to the nucleon’sg1structure function

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