Deep-inelastic structure functions in the MIT bag model

Benesh, C. J.; Miller, Gerald A.

doi:10.1103/physrevd.36.1344

Cited by 53 publications

(49 citation statements)

References 14 publications

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“…Given that deep inelastic data is valence dominated at low-Q 2 , it was suggested fairly early [7] that the natural connection was to use the quark model to calculate the leading twist parton distributions at some low scale, µ 2 , and to evolve them to a higher scale, Q 2 , using the renormalization group equations (RGE) and then compare the resulting distributions with data [7]. In the context of the bag model, Jaffe [8] and Le Yaouanc et al [9] were the first to implement this idea, followed by Hughes [10] and Bell [11] and others [12].…”

Section: Introductionmentioning

confidence: 99%

A Study of Structure Functions for the Bag Beyond Leading Order

Steffens¹,

Thomas²

1995

Prog. Theor. Phys. Suppl.

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There has recently been surprising progress in understanding the spin and flavor dependence of deep inelastic structure functions in terms of the same physics needed in the simple quark models used for hadronic spectroscopy. However, the corresponding scale is usually very low, casting doubt on the use of leading order QCD evolution. We show that the conclusions are not significantly altered if one goes to next-to-leading order. In particular, the excellent agreement with unpolarized and polarized valence quark distributions is retained.

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Section: Introductionmentioning

confidence: 99%

A Study of Structure Functions for the Bag Beyond Leading Order

Steffens¹,

Thomas²

1995

Prog. Theor. Phys. Suppl.

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“…In Ref. [27], therefore, a prescription to recover momentum conservation, leading to quark correlations in the bag, already applied in model calculations of parton distributions, has been used [30][31][32]. The main outcome of Ref.…”

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confidence: 99%

Double parton correlations in constituent quark models

2013

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Double parton correlations, having effects on the double parton scattering processes occurring in high-energy hadron-hadron collisions, for example at the LHC, are studied in the valence quark region, by means of constituent quark models. In this framework, two particle correlations are present without any additional prescription, at variance with what happens, for example, in independent particle models, such as the MIT bag model in its simplest version. From the present analysis, conclusions similar to the ones obtained recently in a modified version of the bag model can be drawn: correlations in the longitudinal momenta of the active quarks are found to be sizable, while those in transverse momentum are much smaller. However, the used framework allows to understand clearly the dynamical origin of the correlations. In particular, it is shown that the small size of the correlations in transverse momentum is a model dependent result, which would not occur if models with sizable quark orbital angular momentum were used to describe the proton. Our analysis permits therefore to clarify the dynamical origin of the double parton correlations and to establish which, among the features of the results, are model independent. The possibility to test experimentally the studied effects is discussed.

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“…[17]. Comparing our calculated results with the ones of the MIT bag model [16,17] or the diquark spectator model [20], our structure functions are distributed over much wider range of the Bjorken x. This fact is the consequence of the strong diquark correlation.…”

Section: Resultsmentioning

confidence: 51%

“…Several theoretical calculations of the nucleon structure function were made in terms of the low energy quark models [15][16][17][18][19][20]. The structure function at the low energy scale Q 2 = Q 2 o , where the phenomenological quark model is supposed to work, is obtained by calculating the twist-2 matrix elements, since these matrix elements are dominant over higher twist terms in the Bjorken limit.…”

Section: Introductionmentioning

confidence: 99%

Diquark correlations in the nucleon structure function

1994

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: The nucleon structure functions are studied with a special emphasis on diquark correlations inside the nucleon. Assuming a phenomenological diquark-quark model of the nucleon at the low energy hadronic scale, we calculate the leading twist contributions to the nucleon structure functions. We take the Nambu and Jona-Lasinio model for the calculation of the quark distributions in the diquarks, and use the convolution method for the diquark scattering process. The resulting quark distributions are evolved to the experimental momentum scale using the perturbative QCD. We discuss the flavor dependence of the nucleon structure functions and the importance of the quark-quark correlations for the understanding of the nucleon structure.

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Deep-inelastic structure functions in the MIT bag model

Cited by 53 publications

References 14 publications

A Study of Structure Functions for the Bag Beyond Leading Order

A Study of Structure Functions for the Bag Beyond Leading Order

Double parton correlations in constituent quark models

Diquark correlations in the nucleon structure function

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