Quark distributions in the nucleon based on a relativistic three-body approach to the Nambu–Jona-Lasinio model

Mineo, H.; Bentz, Wolfgang; Yazaki, K.

doi:10.1103/physrevc.60.065201

Cited by 43 publications

(110 citation statements)

References 47 publications

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“…This follows from using the fields Ψ everywhere in the electromagnetic current and consistently evaluating the current commutator. Actually, the result (14) may be obtained immediately by noting that the current operator (2) expressed in terms of interacting fields Ψ can be re-expressed using (13) in terms of the quark field, Ψ 0 , obtained in the absence of the vector potential:…”

Section: Bound Nucleonmentioning

confidence: 99%

“…Early work on this problem [8] was based on the quark-meson coupling model [9] in which quarks interact by the exchange of scalar and vector mesons. More recently, a quark-diquark description of the single nucleon [13,14], based on the NJL model [10], was combined with the mean field description of nuclear matter [11,12]. Another set of work is based on a nuclear matter version [17] of the chiral quark soliton model of Diakonov et al [18].…”

Section: Introductionmentioning

confidence: 99%

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Role of the nuclear vector potential in deep inelastic scattering

2006

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Section: Bound Nucleonmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Role of the nuclear vector potential in deep inelastic scattering

2006

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“…Early attempts to compute the valence-quark distribution functions within this framework are described in (Kusaka et al, 1997;Mineo et al, 1999). These studies retained only a scalar diquark correlation and the latter employed a particularly severe truncation of the quark-exchange kernel in Fig.…”

Section: Nucleon In the Nambu-jona-lasinio Modelmentioning

confidence: 99%

“…B.44. These diagrams are also the basis for the current in (Mineo et al, 1999) but therein, departing from the purely valence-quark setup, it is augmented by two diagrams argued to provide an estimate of the contribution from a pion cloud.…”

Section: Nucleon In the Nambu-jona-lasinio Modelmentioning

confidence: 99%

Nucleon and pion distribution functions in the valence region

2010

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We provide an experimental and theoretical perspective on the behavior of unpolarized distribution functions for the nucleon and pion on the valence-quark domain; namely, Bjorken-x > ∼ 0.4. This domain is key to much of hadron physics; e.g., a hadron is defined by its flavor content and that is a valence-quark property. Furthermore, its accurate parametrization is crucial to the provision of reliable input for large collider experiments. We focus on experimental extractions of distribution functions via electron and muon inelastic scattering, and from Drell-Yan interactions; and on theoretical treatments that emphasize an explanation of the distribution functions, providing an overview of major contemporary approaches and issues. Valence-quark physics is a compelling subject, which probes at the heart of our understanding of the Standard Model. There are numerous outstanding and unresolved challenges, which experiment and theory must confront. In connection with experiment, we explain that an upgraded Jefferson Lab facility is well-suited to provide new data on the nucleon, while a future electron ion collider could provide essential new data for the mesons. There is also great potential in using Drell-Yan interactions, at FNAL, J-PARC and GSI, to push into the large-x domain for both mesons and nucleons. We argue furthermore that explanation, in contrast to modeling and parametrization, requires a widespread acceptance of the need to adapt theory: to the lessons learnt already from the methods of nonperturbative quantum field theory; and a fuller exploitation of those methods. * Electronic address: holt@anl.gov † Electronic address: cdroberts@anl.gov

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“…In particular, this method seems to work very well for the description of the form factors [15] and structure functions [16] of a free nucleon. It would be interesting to extend this successful description of the free nucleon to the investigation of medium modifications of nucleon properties, which is currently a very active field both experimentally and theoretically -an exciting example are the recent studies of nucleon form factors in ( e, e ′ p) reactions [17].…”

Section: Introductionmentioning

confidence: 99%

The stability of nuclear matter in the Nambu–Jona-Lasinio model

2001

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Using the Nambu-Jona-Lasinio model to describe the nucleon as a quark-diquark state, we discuss the stability of nuclear matter in a hybrid model for the ground state at finite nucleon density. It is shown that a simple extension of the model to simulate the effects of confinement leads to a scalar polarizability of the nucleon. This, in turn, leads to a less attractive effective interaction between the nucleons, helping to achieve saturation of the nuclear matter ground state. It is also pointed out that that the same effect naturally leads to a suppression of "Z-graph" contributions with increasing scalar potential.PACS: 12.39 Fe (chiral Lagrangians), 12.39 Ki (relativistic quark model), 21.65+f (nuclear matter), 24.85+p (quarks, gluons and QCD in nuclei and nuclear processes). Keywords: quark-diquark structure of the nucleon, nuclear matter stability, Nambu-Jona-Lasinio model for quarks.

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Quark distributions in the nucleon based on a relativistic three-body approach to the Nambu–Jona-Lasinio model

Cited by 43 publications

References 47 publications

Role of the nuclear vector potential in deep inelastic scattering

Role of the nuclear vector potential in deep inelastic scattering

Nucleon and pion distribution functions in the valence region

The stability of nuclear matter in the Nambu–Jona-Lasinio model

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