Nucleon-nucleon potential from an effective chiral Lagrangian

Ordóñez, Carlos; Ray, L.; Kolck, U. van

doi:10.1103/physrevlett.72.1982

Cited by 438 publications

(466 citation statements)

References 19 publications

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“…Shima et al [15] provide total photo-disintegration data obtained by simultaneous measurements of all the open channels. Finally, we show also an indirect determination of the photo-absorption cross section deduced from elastic photon-scattering on 4 He by Wells et al [40]. We find an overall good agreement with the photo-disintegration data from bremsstrahlung photons [16], which are consistent with the indirect measurements of Ref.…”

supporting

confidence: 78%

“…In this regard we notice that the α-particle ground-state properties obtained with AV18+UIX and the χEFT NN+NNN are very close to each other and to experiment. On the contrary, already at the ground-state level the two NN interactions are less alike as the 4 He with the AV18 potential is more than 1 MeV less bound than with the N 3 LO NN potential, while they still yield to the same point-proton radius. A somewhat larger discrepancy is found close to threshold between the cross sections obtained with the χEFT NN+NNN and UCOM interactions.…”

mentioning

confidence: 95%

“…Chiral effective field theory (χEFT) [1,2] provides a promising bridge to the underlying theory, QCD. Beginning with the pionic or the nucleon-pion system [3] one works consistently with systems of increasing number of nucleons [4]. One makes use of spontaneous breaking of chiral symmetry to systematically expand the strong interaction in terms of a generic small momentum and takes the explicit breaking of chiral symmetry into account by expanding in the pion mass.…”

Section: Introductionmentioning

confidence: 99%

“…Note that our effective interaction is model-space dependent. Consequently, we need both the effective interaction for the 4 He ground state (J π T = 0 + 0), and the one for the 1 − 1 states, entering the LIT calculation. Indeed, due to the change of parity, the model-space size changes (N max → N max + 1).…”

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The 4He total photo-absorption cross section with two- plus three-nucleon interactions from chiral effective field theory

Quaglioni

Navrátil

2007

Physics Letters B

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The total photo-absorption cross section of 4 He is evaluated microscopically using two-(NN) and three-nucleon (NNN) interactions based upon chiral effective field theory (χEFT). The calculation is performed using the Lorentz integral transform method along with the ab initio no-core shell model approach. An important feature of the present study is the consistency of the NN and NNN interactions and also, through the Siegert theorem, of the two-and three-body current operators. This is due to the application of the χEFT framework. The inclusion of the NNN interaction produces a suppression of the low-energy peak and enhancement of the high-energy tail of the cross section. We compare to calculations obtained using other interactions and to representative experiments. The rather confused experimental situation in the giant resonance region prevents discrimination among different interaction models.Key words: PACS: 25.20.Dc, 21.60.Cs, 27.10.+h Interactions among nucleons are governed by quantum chromodynamics (QCD). In the low-energy regime relevant to nuclear structure and reactions, this theory is nonperturbative, and, therefore, hard to solve. Thus, theory has been forced to resort to models for the interaction, which have limited physical basis. New theoretical developments, however, allow us to connect QCD with low-energy nuclear physics. Chiral effective field theory (χEFT) [1,2] provides a promising bridge to the underlying theory, QCD. Beginning with the pionic or the nucleon-pion system [3] one works consistently with systems of increasing number of nucleons [4]. One makes use of spontaneous breaking of chiral symmetry to systematically expand the strong interaction in terms of a generic small momentum and takes the explicit breaking of chiral symmetry into account by expanding in the pion mass. Nuclear interactions are nonperturbative, because diagrams with purely nucleonic intermediate states are enhanced [1,2]. Therefore, the chiral perturbation expansion is performed for the potential. The χEFT predicts, along with the nucleon-nucleon (NN) interaction at the leading order, a three-nucleon (NNN) interaction at the next-to-next-to-leading order or N 2 LO [2,5,6], and even a four-nucleon (NNNN) interaction at the fourth Email addresses: quaglioni1@llnl.gov (Sofia Quaglioni), navratil1@llnl.gov (Petr Navrátil). order (N 3 LO) [7]. The details of QCD dynamics are contained in parameters, low-energy constants (LECs), not fixed by the symmetry, but can be constrained by experiment. At present, high-quality NN potentials have been determined at N 3 LO [8]. A crucial feature of χEFT is the consistency between the NN, NNN and NNNN parts. As a consequence, at N 2 LO and N 3 LO, except for two parameters assigned to two NNN diagrams, the potential is fully constrained by the parameters defining the NN interaction. The full interaction up to N 2 LO was first applied to the analysis of nd scattering [6] and later the N 3 LO NN potential was combined with the available NNN at N 2 LO to study the 7 Li stru...

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confidence: 78%

mentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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The 4He total photo-absorption cross section with two- plus three-nucleon interactions from chiral effective field theory

Quaglioni

Navrátil

2007

Physics Letters B

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“…In contrast to the pion theories of the 1950's, this new chirally constrained "pion theory" is quite successful. Starting with the pioneering work by Ordóñez, Ray, and van Kolck in the early 1990's [ 11], NN potentials have been constructed in the framework of ChPT. In the next section, I will discuss the latest status of this work.…”

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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