On the Renormalization of the One–Pion Exchange Potential and the Consistency of Weinberg’s Power Counting

Epelbaum, E.; Meißner, Ulf‐G.

doi:10.1007/s00601-012-0492-1

Cited by 93 publications

(82 citation statements)

References 38 publications

(81 reference statements)

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“…As alreay mentioned, an adequate assessment on the expected size of the power counting violations requires an equally a priori estimate 6 . The discussion on the specific power counting to be applied within χPT has been around since the very beginning and most discussions have been carried out on the basis of theoretical consistency [31,[47][48][49][50][51][52]. Our finding on the D-waves offers an excellent opportunity to discern on the basis of experiment analysis among the several proposals on the market.…”

Section: Discussionmentioning

confidence: 99%

“…In this regard, let us mention that while there is agreement on the long distance features of multi-pionic exchange interactions based on χPT, much has been said on the way the short distance pieces of the interaction should be organized. The discussion on the specific power counting to be applied within χPT has been around since the very beginning and most discussions have been carried out on the basis of theoretical consistency [47][48][49][50][51][52] (a comprehensive discussion was provided also in [31] and references therein). To date these alternative schemes have not been seriously confronted to experimental np and pp scattering data directly as we do here by using the classical statistical χ 2 least squares approach.…”

Section: Introductionmentioning

confidence: 99%

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Low-energy chiral two-pion exchange potential with statistical uncertainties

2015

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We present a new phenomenological Nucleon-Nucleon chiral potential fitted to 925 pp and 1743 np scattering data selected from the Granada-2013 NN-database up to a laboratory energy of 125 MeV with 20 short distance parameters and three chiral constants c 1 , c 3 and c 4 with χ 2 /ν = 1.02. Special attention is given to testing the normality of the residuals which allows for a sound propagation of statistical errors from the experimental data to the potential parameters, phase-shifts, scattering amplitudes and counter-terms. This fit allows for a new determination of the chiral constants c 1 , c 3 and c 4 compatible with previous determinations from NN data. This new interactions is found to be softer than other high quality potentials by undertaking a Weinberg eigenvalue analysis. We further explore the interplay between the error analysis and the assumed form of the short distance interaction. The present work shows that it is possible to fit NN scattering with a TPE chiral potential fulfilling all necessary statistical requirements up to 125 MeV and shows unequivocal non-vanishing D-wave short distance pieces.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Low-energy chiral two-pion exchange potential with statistical uncertainties

2015

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“…Note that the same three-body cut is also taken into account in the DD * propagators Δ i due to dressing D * by the self-energy (πD) loops. It should be stressed that in full analogy to the NN problem [19,20], the OPE does not fall off at large momenta and thus requires renormalisation. The DD * potential in an S-wave (V S S ) is to be modified to include the contact interaction C 0 For the sharp cut-off regularisation scheme used in our calculation C 0 (Λ) is adjusted to produce a bound state of the X(3872) for any given cut-off Λ.…”

Section: Formalismmentioning

confidence: 99%

Non-perturbative pion dynamics for the X(3872)

Baru

Epelbaum

Filin

et al. 2014

EPJ Web of Conferences

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Abstract. We discuss the role of non-perturbative pion dynamics on the near-threshold resonant X(3872) charmonium state, which is assumed to be an S-wave DD * bound system. We calculate the contribution to the width of the X(3872) from the DDπ intermediate state treated non-perturbatively and compare it with different approximate approaches. Further, we explore the quark-mass dependence of the pole position of the X(3872) state. We find that the trajectory of the X(3872) depends strongly on the assumed quark-mass dependence of the short-range interactions which can be determined in lattice QCD calculations.

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“…For other works on renormalization of chiral nuclear forces, see Refs. [34][35][36][37][38][39][40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

StrangenessS=−1hyperon-nucleon scattering in covariant chiral effective field theory

Ren

Geng

et al. 2016

Phys. Rev. D

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Motivated by the successes of covariant baryon chiral perturbation theory in one-baryon systems and in heavy-light systems, we study relevance of relativistic effects in hyperon-nucleon interactions with strangeness S = −1. In this exploratory work, we follow the covariant framework developed by Epelbaum and Gegelia to calculate the Y N scattering amplitude at leading order. By fitting the five low-energy constants to the experimental data, we find that the cutoff dependence is mitigated, compared with the heavy-baryon approach. Nevertheless, the description of the experimental data remains quantitatively similar at leading order.

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On the Renormalization of the One–Pion Exchange Potential and the Consistency of Weinberg’s Power Counting

Cited by 93 publications

References 38 publications

Low-energy chiral two-pion exchange potential with statistical uncertainties

Low-energy chiral two-pion exchange potential with statistical uncertainties

Non-perturbative pion dynamics for the X(3872)

StrangenessS=−1hyperon-nucleon scattering in covariant chiral effective field theory

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