Meson exchange in nuclei and the EMC effect

Birbrair, B.L.; Levin, E.; Shuvaev, A. G.

doi:10.1016/0375-9474(89)90119-x

Cited by 13 publications

(23 citation statements)

References 11 publications

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“…The well-known result for the spin-independent distribution is immediately reproduced (see e.g. [11,13,18]):…”

Section: Nonrelativistic Formulaementioning

confidence: 56%

“…This Θ-function provide a correct kinematics in variable x N but cuts out a part of the integration domain in d 3 p. This cutting of the integration interval in the polar angle θ leads to nonzero contribution of the matrix element containing γ 3 , which is proportional to cosθ. The sum rule (16) for the first moment of f N/D M is of a different nature, it presents the nucleon contribution into the total momentum of the deuteron [18,13] and δ N is a part of the total momentum carried by the non-nucleon component (mesons). An important property of sum rules (15) and (16) is that their r.h.s.…”

Section: Singularities Of the Triangle Diagram And Sum Rulesmentioning

confidence: 99%

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Relativistic calculation of structure functions b1,2(x) of the deuteron

Umnikov

1997

Physics Letters B

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“…The well-known result for the spin-independent distribution is immediately reproduced (see e.g. [11,13,18]):…”

Section: Nonrelativistic Formulaementioning

confidence: 56%

Section: Singularities Of the Triangle Diagram And Sum Rulesmentioning

confidence: 99%

Relativistic calculation of structure functions b1,2(x) of the deuteron

Umnikov

1997

Physics Letters B

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“…We compare it also with density distributions coming the standard nuclear harmonic oscillator potential for light nuclei with A dependent phenomenological parameter hω = 45A −1/3 +25A −2/3 [17]. In our model the new sea parton distributions described by the modified cloud of virtual pions is the response for the depletion of cross section for intermediate x (which is described by the change of the mass distribution as a function of x due to the final state interaction).…”

Section: N(p)mentioning

confidence: 99%

The Modification of the Scalar Field in dense Nuclear Matter

Rożynek

2011

EPJ Web of Conferences

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Abstract.We show the possible evolution of the nuclear deep inelastic structure function with nuclear density ρ. The nucleon deep inelastic structure function represents distribution of quarks as function of Björken variable x which measures the longitudinal fraction of momentum carried by them during the Deep Inelastic Scattering (DIS) of electrons on nuclear targets. Starting with small density and negative pressure in Nuclear Matter (NM) we have relatively large inter-nucleon distances and increasing role of nuclear interaction mediated by virtual mesons.When the density approaches the saturation point, ρ = ρ 0 , we have no longer separate mesons and nucleons but eventually modified nucleon Structure Function (SF) in medium. The ratio of nuclear to nucleon SF measured at saturation point is well known as "EMC effect". For larger density, ρ > ρ 0 , when the localization of quarks is smaller then 0.3 fm, the nucleons overlap. We argue that nucleon mass should start to decrease in order to satisfy the Momentum Sum Rule (MSR) of DIS. These modifications of the nucleon Structure Function (SF) are calculated in the frame of the nuclear Relativistic Mean Field (RMF) convolution model. The correction to the Fermi energy from term proportional to the pressure is very important and its inclusion modifies the Equation of State (EoS) for nuclear matter.

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“…The nucleon tensor operator,Ŵ N µν (q, p), has been studied extensively in recent years [16,32,1,5,6,8,14]. We use a well established form of the operator, leading to the convolution formula [38]:…”

Section: A Definitions and Kinematicsmentioning

confidence: 99%

“…However, the validity of this sum rule has been firmly established [11][12][13]. The sum rule (3.29) for the first moment of f N/D M is of a different nature, it presents the nucleon contribution to the total momentum of the deuteron [16,40,17,1] and δ N is a part of the total momentum carried by the non-nucleon component (mesons). The constant δ N cam not be fixed in a model independent fashion, rather it is calculated within any particular model.…”

Section: Sum Rules For the Deuteron Structure Functionsmentioning

confidence: 99%

Deep inelastic scattering on the deuteron in the Bethe-Salpeter formalism with the realistic NN-interaction

Umnikov¹,

Khanna²,

Kaptari³

et al. 1995

AIP Conference Proceedings

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We present a systematic study of the leading twist structure functions of the deuteron, We find that the nonrelativistic and relativistic calculations are qualitatively very much alike. However, three main features systematically distinguish a consistent relativistic approach from the nonrelativistic one: (i) the binding effects are larger, (ii) the effect of Fermi motion at high x is stronger and (iii) the relativistic description of the structure functions b D 1,2 is fully consistent, unlike the nonrelativistic approach, which is internally inconsistent and violates the fundamental sum rules.

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Meson exchange in nuclei and the EMC effect

Cited by 13 publications

References 11 publications

Relativistic calculation of structure functions b1,2(x) of the deuteron

Relativistic calculation of structure functions b1,2(x) of the deuteron

The Modification of the Scalar Field in dense Nuclear Matter

Deep inelastic scattering on the deuteron in the Bethe-Salpeter formalism with the realistic NN-interaction

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