Modified Analysis of Nucleon-Nucleon Scattering. I. Theory and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mo>−</mml:mo><mml:mi>p</mml:mi></mml:math>Scattering at 310 Mev

Cziffra, Peter; MacGregor, M.H.; Moravcsik, Michael J.; Stapp, Henry P.

doi:10.1103/physrev.114.880

Cited by 147 publications

(33 citation statements)

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“…The relation, G πNN (0)F π = M N g A [9], shown by Nambu to follow from chiral symmetry [10], is strictly valid at the pion off-shell point, q 2 = 0, and numerically it yields f 2 πNN = g 2 A m 2 π + /(16πF 2 π ) = 0.072. Almost simultaneously, Chew proposed [11] to determine it from the occurrence of the pion pole in the renormalized Born approximation, by using an extrapolation method which was implemented soon thereafter for np [12] and pp [13] data. The first direct and quantitative evidence for OPE was found in 1960 by Signell [14] by fitting the neutral pion mass to the differential cross section in p-p scattering data.…”

Section: Introductionmentioning

confidence: 99%

Precise determination of charge-dependent pion-nucleon-nucleon coupling constants

2017

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We undertake a covariance error analysis of the pion-nucleon-nucleon coupling constants from the Granada-2013 np and pp database comprising a total of 6720 scattering data below LAB energy of 350 MeV. Assuming a unique pion-nucleon coupling constant in the One Pion Exchange potential above a boundary radius r c = 3fm we obtain f 2 = 0.0763(1). The effects of charge symmetry breaking on the 3 P 0 , 3 P 1 and 3 P 2 partial waves are analyzed and we find f 2 p = 0.0761(4), f 2 0 = 0.0790(9) and f 2 c = 0.0772(6) with a strong anti-correlation between f 2 c and f 2 0 . We successfully test normality for the residuals of the fit. Potential tails in terms of different boundary radii as well as chiral Two-Pion-Exchange contributions as sources of systematic uncertainty are also investigated.

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Section: Introductionmentioning

confidence: 99%

Precise determination of charge-dependent pion-nucleon-nucleon coupling constants

2017

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“…incorporated the one-pion pole into an analysis of 300-MeV p-p scattering. 34 They were able to show that the higher partial waves are adequately represented for the acceptable phase shift solutions by the single-pion-exchange pole. Wong recently extended the calculation to include multipion exchanges.…”

Section: G Nucleon-nucleon Scatteringmentioning

confidence: 97%

Meson Production inp+dCollisions and theI=0π−πInteraction. IV. Double-Pion Production and Pio

Booth

Abashian

1963

Phys. Rev.

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We present an analysis of the measurements on the reaction p-\-d -* He 3 -f-27r, and show that the anomalous bump in the He 3 spectrum cannot be accounted for by ir-He 3 final-state interactions, by Bose statistics for the two pions, or by the deuteron and He 3 wave functions. However, the anomaly can be satisfactorily explained by a strong final-state interaction between the two pions. We determine the 5-wave ir-w scattering length in the 1=0 state to be 2h/ixc.

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“…The corresponding integrals were determined in Refs. [22][23][24] and for completeness we quote here the corresponding expressions for the scaled phase-shifts 8 …”

Section: Acknowledgementsmentioning

confidence: 99%

“…The peripheral features of strong interactions among elementary particles have been exploited for more than half a century [21] and they were immediately applied to NN interactions in terms of OPE in the Born approximation [22][23][24]. Tests for NN peripherality and the meson exchange picture have been made at the partial waves level for high angular momenta [25], and within the chiral perturbation theory proposed by Weinberg [26] at different orders [27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Low energy peripheral scaling in nucleon–nucleon scattering and uncertainty quantification

Simó

Amaro

Arriola

et al. 2018

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

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We analyze the peripheral structure of the nucleon-nucleon interaction for LAB energies below 350 MeV. To this end we transform the scattering matrix into the impact parameter representation by analyzing the scaled phase shifts (L + 1/2)δ JLS (p) and the scaled mixing parameters (L + 1/2)ε JLS (p) in terms of the impact parameter b = (L + 1/2)/p. According to the eikonal approximation, at large angular momentum L these functions should become an universal function of b, independent on L. This allows to discuss in a rather transparent way the role of statistical and systematic uncertainties in the different long range components of the two-body potential. Implications for peripheral waves obtained in chiral perturbation theory interactions to fifth order (N5LO) or from the large body of NN data considered in the SAID partial wave analysis are also drawn from comparing them with other phenomenological high-quality interactions, constructed to fit scattering data as well. We find that both N5LO and SAID peripheral waves disagree more than 5σ with the Granada-2013 statistical analysis, more than 2σ with the 6 statistically equivalent potentials fitting the Granada-2013 database and about 1σ with the historical set of 13 high-quality potentials developed since the 1993 Nijmegen analysis.

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Modified Analysis of Nucleon-Nucleon Scattering. I. Theory andp−pScattering at 310 Mev

Cited by 147 publications

References 3 publications

Precise determination of charge-dependent pion-nucleon-nucleon coupling constants

Precise determination of charge-dependent pion-nucleon-nucleon coupling constants

Meson Production inp+dCollisions and theI=0π−πInteraction. IV. Double-Pion Production and Pio

Low energy peripheral scaling in nucleon–nucleon scattering and uncertainty quantification

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