The three-nucleon continuum: achievements, challenges and applications

Glöckle, W.; Witała, H.; Hüber, D.; Kamada, H.; Golak, J.

doi:10.1016/0370-1573(95)00085-2

Cited by 703 publications

(1,045 citation statements)

References 308 publications

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“…But also there some discrepancies remained in the two vector analyzing powers. Since similar discrepancies are also present in pure Nd scattering [18] they might have a common origin, presumably missing spin structures in the 3NF.…”

Section: Discussionmentioning

confidence: 77%

“…For the second one we need the quantity T , which is part of the 3N breakup amplitude for Nd scattering [18] and is determined in form of the set of functions pqα | T . The free propagator G 0 delivers a simple pole, which we treat by subtraction.…”

Section: The Performancementioning

confidence: 99%

“…With these relatively schematic and brief remarks we end the description of the performance related to matrix elements and Faddeev like integral equations. For practitioners more is needed and we refer for details to [16,18,71,113].…”

Section: The Performancementioning

confidence: 99%

“…But in the last 10-15 years also the 3N continuum got more and more under control [16][17][18][19][20][21], which opened solid theoretical access to the great diversity of inelastic real and virtual photon induced reactions on 3 He and the nucleon-deuteron (Nd) capture processes.…”

Section: Introductionmentioning

confidence: 99%

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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: 77%

Section: The Performancementioning

confidence: 99%

Section: The Performancementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Electron and photon scattering on three-nucleon bound states

et al. 2005

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“…As pointed out in the previous section, the research conducted during the high-precision period of the 1990's [ 9] systematically tested and firmly established the standards of precision that must be met by NN potentials to yield sufficiently accurate predictions when applied in microscopic calculations of few-body systems. Since in nuclear EFT we are dealing with a perturbative expansion (ChPT), the question is to what order of ChPT we have to go to obtain the precision that meets those standards.…”

Section: Current Status Of Chiral Nn Potentialsmentioning

confidence: 99%

The theory of nuclear forces: Is the never-ending story coming to an end?

Machleidt

2007

Nuclear Physics A

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I review the recent progress in our understanding of nuclear forces in terms of an effective field theory (EFT) for low-energy QCD and put this progress into historical perspective. This is followed by an assessment of the current status of EFT based nuclear potentials. In concluding, I will summarize some unresolved issues. Historical PerspectiveThe theory of nuclear forces has a long history. Based upon the Yukawa idea [ 1] and the discovery of the pion, the 1950's became the first period of "pion theories". These, however, resulted in failure-for reasons we understand today: pion dynamics is ruled by chiral symmetry, a constraint that was not realized in the theories of the 1950's.The 1960's and 70's represent the main period for theories that also include heavy mesons ("meson theories") [ 2], but the work on meson models continued all the way into the 1990's when the family of the so-called high-precision NN potentials was developed. This family includes the Nijm-I, Nijm-II, and Reid93 potentials [ 3], the Argonne V 18 [ 4], and the CD-Bonn potential [ 5,6]. Later, also the highly non-local potential by Doleschall et al. [ 7] and the "CD-Bonn + ∆" model by Deltuva et al. [ 8] joined the club. All these potentials have in common that they are charge-dependent, use about 40-50 parameters, and reproduce the 1992 Nijmegen NN data base with a χ 2 /datum ≈ 1.Over the past ten years, the high-precision potentials have been applied intensively in exact few-body calculations and miscroscopic nuclear structure theory. Already the first few applications of the high-precision potentials in three-nucleon reactions [ 9] clearly revealed sizable differences between the predictions from NN potentials with a χ 2 /datum ≈ 1 (i.e., the new generation of potentials) and NN potentials with a χ 2 /datum ≈ 2 (the old generation of the 1970's and 80's which includes the old Nijmegen, the Paris, and the old Bonn potentials). Thus, once for all, the standard of precision was established that must be met by any future work in microscopic nuclear structure and exact few-body calculations: The input NN potential must reproduce the NN data with a χ 2 /datum ≈ 1 or the uncertainty in the predictions will make it impossible to draw reliable conclusions.In spite of these great practical achievements, the high-precision potentials cannot be the end of the story, because they are all phenomenological in nature. Ultimately, we need potentials that are based on proper theory and yield quantitative results.

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Dimensional compactification and two‐particle binding

Delfino

Timóteo

Frederico

et al. 2011

Int J of Quantum Chemistry

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ABSTRACT:The renormalization group equations (RGE) are applied to the study of two-body singular interactions at the surface of an infinite long cylinder with a radius R. A single scale, independent of R, emerges from the renormalization procedure of removing the ultraviolet momentum divergence of the original interacting Green's function. This single scale implies in a R-dependent binding energy, which is obtained from the pole of the Green's function. The binding is infinitely large in the limit R = 0, while as R goes to infinity it converges to the well-known two-dimensional (2D) result in flat space. The physical scale is controlled by the energy binding value on the 2D flat surface. By exploring the effect of space dimensions D, from D = 1 to D = 3, in the physics and scales, it is also shown that by decreasing the dimensionality one favors the two-body binding.

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The three-nucleon continuum: achievements, challenges and applications

Cited by 703 publications

References 308 publications

Electron and photon scattering on three-nucleon bound states

Electron and photon scattering on three-nucleon bound states

The theory of nuclear forces: Is the never-ending story coming to an end?

Dimensional compactification and two‐particle binding

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