<i>The Pion–Nucleon System</i>

Bransden, B. H.; Moorhouse, R. G.; Capps, Richard H.

doi:10.1063/1.3128364

Cited by 44 publications

(62 citation statements)

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“…A demonstration of how to obtain the systematic errors is given in figure 10 for the case of Fit-I and analogous figures are obtained for other three fits. The obtained systematic errors to the LECs are shown in the second bracket in table 1.…”

Section: Jhep05(2016)038mentioning

confidence: 99%

“…refs. [1,2]), not only due to the wealth of experimental data, but also because of its importance for our understanding of chiral dynamics of quantum chromodynamics (QCD). From the theory side, in order to describe such a fundamental process, dispersion relations for πN scattering have been investigated several decades ago [3][4][5] and many phenomenological models and different approaches have been proposed (see, e.g., refs.…”

Section: Introductionmentioning

confidence: 99%

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Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances

Yao

Siemens

Bernard

et al. 2016

J. High Energ. Phys.

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We present the results of a third order calculation of the pion-nucleon scattering amplitude in a chiral effective field theory with pions, nucleons and delta resonances as explicit degrees of freedom. We work in a manifestly Lorentz invariant formulation of baryon chiral perturbation theory using dimensional regularization and the extended on-mass-shell renormalization scheme. In the delta resonance sector, the on mass-shell renormalization is realized as a complex-mass scheme. By fitting the low-energy constants of the effective Lagrangian to the S-and P -partial waves a satisfactory description of the phase shifts from the analysis of the Roy-Steiner equations is obtained. We predict the phase shifts for the D and F waves and compare them with the results of the analysis of the George Washington University group. The threshold parameters are calculated both in the delta-less and delta-full cases. Based on the determined low-energy constants, we discuss the pion-nucleon sigma term. Additionally, in order to determine the strangeness content of the nucleon, we calculate the octet baryon masses in the presence of decuplet resonances up to next-to-next-to-leading order in SU(3) baryon chiral perturbation theory. The octet baryon sigma terms are predicted as a byproduct of this calculation.

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Section: Jhep05(2016)038mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances

Yao

Siemens

Bernard

et al. 2016

J. High Energ. Phys.

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“…In order to fit the coupling constantsf N ′ * ∆π andg N ′ * ∆π to the experimental amplitudes in s-and d-wave [15] we make a partial wave expansion [25] of the transition amplitude N * (1520) to ∆π from a state of spin 3/2 and third component M, to a state of spin 3/2 and third component M ′ and we write it as:…”

Section: Improvements To the Modelmentioning

confidence: 99%

The role of Δ(1700) excitation and ρ production in double pion photoproduction

et al. 2001

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Recent information on invariant mass distributions of the γp → π + π 0 n reaction, where previous theoretical models had shown deficiencies, have made more evident the need for new mechanisms, so far neglected or inaccurately included. We have updated a previous model to include new necessary mechanisms. We find that the production of the ρ meson, and the ∆(1700) excitation, through interference with the dominant terms, are important mechanisms that solve the puzzle of the γp → π + π 0 n reaction without spoiling the early agreement with the γp → π + π − p and γp → π 0 π 0 p reactions.

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“…[9,10,11,12,13,14,15] and the references therein). Among these many works, we limit ourselves to quote a quite recent approach which seems promising and consists in extract-ing the resonance parameters from the energy distribution of the time delay [16,17].…”

Section: Introductionmentioning

confidence: 99%

“…(ii) Hard-sphere scattering contribution: The term S (pot) (k) = e 2iδ (pot) 0 (k) = e −2ika is related to the so-called potential scattering, which is responsible, according to formula (6), for the time advance (see also formulae (12)- (16) in Section 2).…”

Section: Introductionmentioning

confidence: 99%

Time delay and time advance in resonance theory

Micheli

Viano

2004

Nuclear Physics A

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We propose a theory of the resonance-antiresonance scattering process which differs considerably from the classical one (the Breit-Wigner theory), which is commonly used in the phenomenological analysis. Here both resonances and antiresonances are described in terms of poles of the scattering amplitude: the resonances by poles in the first quadrant while the antiresonances by poles in the fourth quadrant of the complex angular momentum plane. The latter poles are produced by non-local potentials, which derive from the Pauli exchange forces acting among the nucleons or the quarks composing the colliding particles.

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The Pion–Nucleon System

Cited by 44 publications

References 0 publications

Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances

Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances

The role of Δ(1700) excitation and ρ production in double pion photoproduction

Time delay and time advance in resonance theory

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