From Hadrons to Nuclei: Crossing the Border

Beane, Silas R.; Bedaque, Paulo F.; Haxton, W. C.; Phillips, Daniel R.; Savage, Martin J.

doi:10.1142/9789812810458_0011

Cited by 124 publications

(191 citation statements)

References 159 publications

(363 reference statements)

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“…We refer the reader to several reviews [240] on these kind of approaches and cite only a short subjective list of papers out of very many, which we think are very relevant to investigate few-nucleon systems without and with electroweak probes. More references can be found there.…”

Section: Discussionmentioning

confidence: 99%

Electron and photon scattering on three-nucleon bound states

et al. 2005

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A big spectrum of processes induced by real and virtual photons on the 3 He and 3 H nuclei is theoretically investigated through many examples based on nonrelativistic Faddeev calculations for bound and continuum states. The modern nucleon-nucleon potential AV18 together with the threenucleon force UrbanaIX is used. The single nucleon current is augmented by explicit π-and ρ-like two-body currents which fulfill the current continuity equation together with the corresponding parts of the AV18 potential. We also employ the Siegert theorem, which induces many-body contributions to the current operator. The interplay of these different dynamical ingredients in the various electromagnetic processes is studied and the theory is compared to the experimental data.Overall we find fair to good agreement but also cases of strong disagreement between theory and experiment, which calls for improved dynamics. In several cases we refer the reader to the work of other groups and compare their results with ours. In addition we list a number of predictions for observables in different processes which would challenge this dynamical scenario even more stringently and systematically.

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Section: Discussionmentioning

confidence: 99%

Electron and photon scattering on three-nucleon bound states

et al. 2005

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“…Over the last several years an alternative approach to nuclear physics based on effective field theory (EFT) methods has been applied successfully to the two and three-nucleon systems [2,3,4,5]. EFT methods have the advantage of being directly connected to QCD, and of providing a framework which is amendable to systematic improvements.…”

Section: Introductionmentioning

confidence: 99%

Many body methods and effective field theory

2005

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In the framework of pionless nucleon-nucleon effective field theory we study different approximation schemes for the nuclear many body problem. We consider, in particular, ladder diagrams constructed from particle-particle, hole-hole, and particle-hole pairs. We focus on the problem of finding a suitable starting point for perturbative calculations near the unitary limit (k F a) → ∞ and (k F r) → 0, where k F is the Fermi momentum, a is the scattering length and r is the effective range. We try to clarify the relationship between different classes of diagrams and the large g and large D approximations, where g is the fermion degeneracy and D is the number of space-time dimensions. In the large D limit we find that the energy per particle in the strongly interacting system is 1/2 the result for free fermions.

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“…np → dγ [18]. The first MEC effect in ed → ed does not occur until N 2 LO, or O(eP 3 ), where an NNπγ vertex from L (2) πN gets included in an isoscalar two-body contribution to the deuteron charge operator (see Fig. 1 The most important correction that arises at NLO is the inclusion of nucleon substructure.…”

Section: Elastic Electron Scattering On Deuteriummentioning

confidence: 99%

“…4(a). This graph involves a vertex from L (2) πN and so is O(e 2 ). This contribution is simply the Thomson term for scattering on the proton.…”

Section: Compton Scattering On Deuteriummentioning

confidence: 99%

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Chiral perturbation theory for electroweak reactions on deuterium

Phillips¹

2005

J. Phys. G: Nucl. Part. Phys.

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Abstract. I summarize two recent applications of chiral perturbation theory to electromagnetic reactions on deuterium: elastic electron-deuteron scattering, and Compton scattering on deuterium. Both calculations have now been carried out to three orders in the chiral expansion. The expansion shows good convergence and is able to reproduce data for |q| ∼ < 600 MeV in ed and for ω = 55-95 MeV in γd. These results demonstrate that χPT can be used to reliably compute operators and wave functions for low-momentum-transfer reactions in light nuclear systems.

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From Hadrons to Nuclei: Crossing the Border

Cited by 124 publications

References 159 publications

Electron and photon scattering on three-nucleon bound states

Electron and photon scattering on three-nucleon bound states

Many body methods and effective field theory

Chiral perturbation theory for electroweak reactions on deuterium

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