Chiral Two-Pion Exchange and Proton-Proton Partial-Wave Analysis

Rentmeester, M. C. M.; Timmermans, Rob G. E.; Friar, J. L.; Swart, J. J. de

doi:10.1103/physrevlett.82.4992

Cited by 185 publications

(284 citation statements)

References 49 publications

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“…On the other hand, the reliability of the long distance chiral interaction does not depend on how the short distance unknown interaction is organized. This has been proven by the first chiral potential fits by the Nijmegen group from their pp [6] and np + pp [8] analyses and more recently verified with increased statistics by the Granada group [11]. This leaves open the possibility that better fits than those found here should be possible by properly altering the short distance structure.…”

Section: Discussionmentioning

confidence: 76%

“…[2] for an early review) and, after many years, culminated in the admirable Nijmegen partial wave analysis (PWA) of 1993 [3], based on the crucial observations that charge-dependent one-pion-exchange (CD-OPE), tiny but essential electromagnetic and relativistic effects, and a judicious selection of the scattering database could actually provide a satisfactory fit with χ 2 /datum ∼ 1 for a total number of data consisting, as of 1993, of 1787 pp and 2514 np (normalizations included) at the 3 σ level. These criteria have set the standard for PWA's and the design of high quality phenomenological potentials [4][5][6][7][8][9][10][11][12]. The inference point of view is mainly phenomenological and requires a balanced interplay between which data qualify as constraints and which models provide the most likely description of the data.…”

Section: Introductionmentioning

confidence: 99%

“…Within the χEFT framework the Nijmegen group used the TPE potential [24] to carry out pp [6] and np + pp [8] analyses determining the chiral constants c 3 and c 4 from these data while constraining c 1 from πN data. Taking the chiral constants from πN analyses, Entem and Machleidt [32] used a next-to-next-to-next-to-leading order (N3LO or Q 4 , Q generically specifying the low momentum scale) chiral potential to fit pp and np scattering data up to lab energy of 290 MeV.…”

Section: Introductionmentioning

confidence: 99%

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Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange includingΔresonances

et al. 2015

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We construct a coordinate-space chiral potential, including ∆-isobar intermediate states in its two-pion-exchange component up to order Q 3 (Q denotes generically the low momentum scale). The contact interactions entering at next-to-leading and next-to-next-to-next-to-leading orders (Q 2 and Q 4 , respectively) are rearranged by Fierz transformations to yield terms at most quadratic in the relative momentum operator of the two nucleons. The low-energy constants multiplying these contact interactions are fitted to the 2013 Granada database, consisting of 2309 pp and 2982 np data (including, respectively, 148 and 218 normalizations) in the laboratory-energy range 0-300 MeV. For the total 5291 pp and np data in this range, we obtain a χ 2 /datum of roughly 1.3 for a set of three models characterized by long-and short-range cutoffs, RL and RS respectively, ranging from (RL, RS) = (1.2, 0.8) fm down to (0.8, 0.6) fm. The long-range (short-range) cutoff regularizes the one-and two-pion exchange (contact) part of the potential.

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Section: Discussionmentioning

confidence: 76%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange includingΔresonances

et al. 2015

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“…Matrix elements ψ|Ô|ψ should then incorporate the consequences of chiral-symmetry breaking in a model-independent way. Calculations have shown that the NN phase shifts can be understood, and deuteron bound-state static properties reliably computed, with NN potentials derived from χPT [7,8,9,10,11]. This is now a sophisticated enterprise, with N 3 LO [O(P 4 )] potentials recently having been obtained [11,12,13].…”

Section: Deuteron Wave Functionsmentioning

confidence: 99%

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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“…There exists also a determination of this parameter from the NN data by the Nijmegen group. They report c 3 = −5.08 ± 0.28 GeV −1 in their 1999 pp analysis [ 24] and c 3 = −4.78 ± 0.10 Table 4 Low-energy parameters. c i are given in units of GeV −1 andd i in units GeV −2 .…”

Section: The Low-energy Constantsmentioning

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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Chiral Two-Pion Exchange and Proton-Proton Partial-Wave Analysis

Cited by 185 publications

References 49 publications

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange includingΔresonances

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange includingΔresonances

Chiral perturbation theory for electroweak reactions on deuterium

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

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