Pion–nucleon scattering inside the Mandelstam triangle

Büttiker, P.; Meißner, Ulf‐G.

doi:10.1016/s0375-9474(99)00813-1

Cited by 187 publications

(239 citation statements)

References 24 publications

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“…The main advantages of such an approach are the following: first, the πN amplitude in the subthreshold region is a polynomial in the Mandelstam variables (apart from the Born terms), so that the chiral series is expected to converge best there. In contrast to [9], we do not need additional input from the physical region, as in our case the subthreshold parameters follow from the RS solution alone. Second, the matching amounts to equating the subthreshold parameters from [40,46] with their chiral expansion, which reduces the determination of the LECs to an algebraic problem.…”

Section: Introductionmentioning

confidence: 99%

Matching Pion-Nucleon Roy-Steiner Equations to Chiral Perturbation Theory

Hoferichter

Elvira²,

Kubis³

et al. 2015

Phys. Rev. Lett.

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We match the results for the subthreshold parameters of pion-nucleon scattering obtained from a solution of Roy-Steiner equations to chiral perturbation theory up to next-to-next-to-next-to-leading order, to extract the pertinent low-energy constants including a comprehensive analysis of systematic uncertainties and correlations. We study the convergence of the chiral series by investigating the chiral expansion of threshold parameters up to the same order and discuss the role of the ∆(1232) resonance in this context. Results for the low-energy constants are also presented in the counting scheme usually applied in chiral nuclear effective field theory, where they serve as crucial input to determine the long-range part of the nucleon-nucleon potential as well as three-nucleon forces.

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Section: Introductionmentioning

confidence: 99%

Matching Pion-Nucleon Roy-Steiner Equations to Chiral Perturbation Theory

Hoferichter

Elvira²,

Kubis³

et al. 2015

Phys. Rev. Lett.

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187

176

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“…Elastic pion-nucleon (πN) scattering certainly belongs to the the most extensively studied processes in ChPT [8][9][10][11][12][13][14][15][16]. The πN scattering amplitude enters as a subprocess into the interactions between two and three nucleons at large distances.…”

Section: Elastic Pion-nucleon Scatteringmentioning

confidence: 99%

Chiral dynamics of/with unstable particles

2017

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“…However, in the literature exist various sets of possible values for these c i constants, see e.g. [1,24,25,26,27], which have sizable deviations from each other. These different choices for the LECs will affect the predictions of nuclear structure observables obtained with the chiral 3N interactions.…”

Section: Pos(cd12)015mentioning

confidence: 99%

From Chiral EFT interactions to nuclear structure and reactions

Roth¹,

Langhammer²,

Calci³

et al. 2013

Proceedings of the 7th International Workshop on Chiral Dynamics — PoS(CD12)

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Chiral effective field theory provides nuclear interactions rooted in Quantum Chromodynamics in a systematic and consistent manner. To assess the quality and predictive power of chiral twonucleon (NN) and three-nucleon (3N) interactions, ab initio calculations of a variety of nuclear observables are crucial. However, the inclusion of chiral 3N interactions into exact many-body calculations is demanding and computationally expensive. Recently, we completed a number of key developments which permit ab initio calculations of ground and low-lying excited states of pand sd-shell nuclei with full 3N interactions in the Importance-Truncated No-Core Shell Model using consistent Similarity Renormalization Group transformations of the NN+3N Hamiltonian. The explicit treatment of 3N interactions without approximations allows for first studies of the dependence of nuclear-structure observables on the details of chiral interactions. We present first results of sensitivity studies with respect to variations of the low-energy constants and the chiral cutoff of the chiral 3N interactions. Our results hint at missing operator structures in the leading chiral 3N interactions which seem to be necessary to describe certain excited states in p-shell nuclei properly.

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Pion–nucleon scattering inside the Mandelstam triangle

Cited by 187 publications

References 24 publications

Matching Pion-Nucleon Roy-Steiner Equations to Chiral Perturbation Theory

Matching Pion-Nucleon Roy-Steiner Equations to Chiral Perturbation Theory

Chiral dynamics of/with unstable particles

From Chiral EFT interactions to nuclear structure and reactions

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