Construction of high-quality<i>NN</i>potential models

Stoks, V. G. J.; Klomp, R. A. M.; Terheggen, C. P. F.; Swart, J. J. de

doi:10.1103/physrevc.49.2950

Cited by 1,527 publications

(2,189 citation statements)

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“…We expect that the results from a fully consistent calculation will not deviate significantly from the results we obtain here. The numbers below correspond to the Argonne v 18 potential [45], but results for the Reid93 and Nijmegen II potentials [44] agree within 5%. This is less than the error of order m π /M QCD ∼ 20% intrinsic to χPT in lowest order.…”

Section: Edm Of the Deuteronmentioning

confidence: 92%

“…The deuteron EDM has been studied before in the meson-exchange picture [36,37,38,39,40], with various degrees of sophistication in the treatments of the P -and Tconserving interaction H P T . Using modern high-quality phenomenological potentials [44,45], Ref. [39] found that the model dependence of H P T is rather small for a deuteron EDM generated by the OPE sector of the / P/ T interaction.…”

Section: Edm Of the Deuteronmentioning

confidence: 99%

“…For the P T potential we use here realistic phenomenological potentials [44,45,46]. This "hybrid" approach [47] is justified whenever there is little sensitivity to the details of short-range physics, since such realistic potentials all include the long-range pion exchange that appears in chiral EFT at LO.…”

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confidence: 99%

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Electric dipole moments of light nuclei from chiral effective field theory

et al. 2011

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We set up the framework for the calculation of electric dipole moments (EDMs) of light nuclei using the systematic expansion provided by chiral effective field theory (EFT). We take into account parity (P ) and time-reversal (T ) violation which, at the quark-gluon level, originates from the QCD vacuum angle and dimension-six operators capturing physics beyond the Standard Model. We argue that EDMs of light nuclei can be expressed in terms of six low-energy constants that appear in the P -and T -violating nuclear potential and electric current. As examples, we calculate the EDMs of the deuteron, the triton, and 3 He in leading order in the EFT expansion.

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Section: Edm Of the Deuteronmentioning

confidence: 92%

Section: Edm Of the Deuteronmentioning

confidence: 99%

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Electric dipole moments of light nuclei from chiral effective field theory

et al. 2011

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“…In practice, the construction of V low−k begins with one of a number of available realistic models [21,22,23,24,25] for the nucleon-nucleon (NN) potential V N N . While these models agree well in the low momentum (long range) region, where they are just given by the one pion exchange interaction, in the high momentum (short range) region they are rather uncertain and, in fact, differ significantly from one another.…”

Section: Introductionmentioning

confidence: 99%

Counter terms for low momentum nucleon–nucleon interactions

et al. 2004

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There is much current interest in treating low energy nuclear physics using the renormalization group (RG) and effective field theory (EFT). Inspired by this RG-EFT approach, we study a lowmomentum nucleon-nucleon (NN) interaction, V low−k , obtained by integrating out the fast modes down to the scale Λ ∼ 2fm −1 . Since NN experiments can only determine the effective interaction in this low momentum region, our chief purpose is to find such an interaction for complex nuclei whose typical momenta lie below this scale. In this paper we find that V low−k can be highly satisfactorily accounted for by the counter terms corresponding to a short range effective interaction. The coefficients Cn of the power series expansion Cnq n for the counter terms have been accurately determined, and results derived from several meson-exchange NN interaction models are compared. The counter terms are found to be important only for the S, P and D partial waves. Scaling behavior of the counter terms is studied. Finally we discuss the use of these methods for computing shell model matrix elements.

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“…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.…”

Section: Historical Perspectivementioning

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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Construction of high-qualityNNpotential models

Cited by 1,527 publications

References 30 publications

Electric dipole moments of light nuclei from chiral effective field theory

Electric dipole moments of light nuclei from chiral effective field theory

Counter terms for low momentum nucleon–nucleon interactions

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

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