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In a previous paper, we reported the results of a partial-wave analysis of the pion-nucleon ($\pi N$) differential cross sections (DCSs) of the CHAOS Collaboration and came to the conclusion that the angular distribution of their $\pi^+ p$…

高能物理 - 唯象学 · 物理学 2015-06-19 Evangelos Matsinos , Günther Rasche

We have reanalyzed the $\pi ^{\pm} p$ scattering data at low energy in the Coulomb-nuclear interference region as measured by the CHAOS group at TRIUMF with the aim to determine the pion-nucleon $\sigma$ term. The resulting value…

核理论 · 物理学 2015-06-12 J. Stahov , H. Clement , G. J. Wagner

A new result for the nucleon sigma term from an updated pion-nucleon partial-wave and dispersion relation analysis of the Virginia Polytechnic Institute (now George Washington University) group is discussed. Using a method similar to that…

核理论 · 物理学 2014-11-18 M. M. Pavan , R. A. Arndt , I. I Strakovsky , R. L. Workman

A new result for the pion nucleon Sigma term from a George Washington University/TRIUMF group analysis of pion nucleon data is presented. The value Sigma=79$\pm$7 MeV was obtained, compared to the canonical value 64$\pm$8 MeV found by Koch.…

高能物理 - 唯象学 · 物理学 2007-05-23 M. M. Pavan , I. I. Strakovsky , R. L. Workman , R. A. Arndt

We present a determination of the pion-nucleon sigma-term based on a novel analysis of the $\pi N$ scattering amplitude in Lorentz covariant baryon chiral perturbation theory renormalized in the extended-on-mass-shell scheme. This…

高能物理 - 唯象学 · 物理学 2015-06-03 J. Martin Camalich , J. M. Alarcon , J. A. Oller

Earlier work suggested that the in-medium $\pi N$ threshold isovector amplitude $b_1(\rho)$ gets renormalized in pionic atoms by about 30% away from its $\rho=0$ free-space value, relating such renormalization to the leading low-density…

核理论 · 物理学 2019-04-12 E. Friedman , A. Gal

The pion-nucleon sigma term ($\sigma_{\pi N}$) is an observable of fundamental importance because embodies information about the internal scalar structure of the nucleon. Nowadays this quantity has triggered renewed interest because it is a…

高能物理 - 唯象学 · 物理学 2013-01-22 J. M. Alarcón , J. Martin Camalich , J. A. Oller

We apply the perturbative chiral quark model (PCQM) at one loop to analyse meson-baryon sigma-terms. Analytic expressions for these quantities are obtained in terms of fundamental parameters of low-energy pion-nucleon physics (weak pion…

高能物理 - 唯象学 · 物理学 2009-10-31 V. E. Lyubovitskij , Th. Gutsche , Amand Faessler , E. G. Drukarev

The pion-nucleon sigma term is shown to be equal to the Goldberger-Treiman discrepancy at tree level. Its value estimated this way is very sensitive to the pion-nucleon coupling constant g_{pi NN}. This relation, when combined with the…

高能物理 - 唯象学 · 物理学 2007-05-23 James V. Steele , Hidenaga Yamagishi , Ismail Zahed

We present a novel analysis of the $\pi N$ scattering amplitude in Lorentz covariant baryon chiral perturbation theory renormalized in the extended-on-mass-shell scheme. This amplitude, valid up to $\mathcal{O}(p^3)$ in the chiral…

高能物理 - 唯象学 · 物理学 2015-05-30 J. M. Alarcon , J. Martin Camalich , J. A. Oller

A dispersion framework, appropriate for discussing the low-energy pion-nucleon interaction, is reviewed. Sensitivity of the isoscalar D-amplitude at the unphysical Cheng-Dashen point to input from different phase shift analyses and…

高能物理 - 唯象学 · 物理学 2011-04-15 M. E. Sainio

We use a configuration space chiral model in order to evaluate nucleon and delta sigma-terms. Analytic expressions are consistent with chiral counting rules and give rise to expected non-analytic terms in the chiral limit. We obtain the…

高能物理 - 唯象学 · 物理学 2009-11-11 I. P. Cavalcante , M. R. Robilotta , J. Sa Borges , D. de O. Santos , G. R. S. Zarnauskas

We present an extraction of the pion-nucleon ($\pi N$) scattering lengths from low-energy $\pi N$ scattering, by fitting a representation based on Roy-Steiner equations to the low-energy data base. We show that the resulting values confirm…

高能物理 - 唯象学 · 物理学 2018-01-17 Jacobo Ruiz de Elvira , Martin Hoferichter , Bastian Kubis , Ulf-G. Meißner

We study the third order pion-nucleon scattering amplitude obtained from heavy baryon chiral perturbation theory inside the Mandelstam triangle. We reconstruct the pion-nucleon amplitude in the unphysical region by use of dispersion…

高能物理 - 唯象学 · 物理学 2009-10-31 Paul Büttiker , Ulf-G. Meißner

We present an analysis of the pion-nucleon $\sigma$-term, $\sigma_{\pi N}$, using six ensembles with 2+1+1-flavor highly improved staggered quark action generated by the MILC collaboration. The most serious systematic effect in lattice…

高能物理 - 格点 · 物理学 2021-12-17 Rajan Gupta , Sungwoo Park , Martin Hoferichter , Emanuele Mereghetti , Boram Yoon , Tanmoy Bhattacharya

CERN measurements of pi(-)p->pi(-)pi(+)n on polarized target at 17.2 GeV/c enable experimental determination of partial wave production amplitudes below 1080 MeV. The measured S-wave transversity amplitudes provide evidence for a narrow…

高能物理 - 唯象学 · 物理学 2007-05-23 M. Svec

In recent years, a persistent tension between phenomenological and lattice QCD determinations of the pion-nucleon $\sigma$-term $\sigma_{\pi N}$ has developed. In particular, lattice-QCD calculations have matured to the point that…

高能物理 - 唯象学 · 物理学 2023-06-16 Martin Hoferichter , Jacobo Ruiz de Elvira , Bastian Kubis , Ulf-G. Meißner

We present a determination of the pion-nucleon ($\pi N$) $\sigma$-term $\sigma_{\pi N}$ based on the Cheng-Dashen low-energy theorem (LET), taking advantage of the recent high-precision data from pionic atoms to pin down the $\pi N$…

高能物理 - 唯象学 · 物理学 2015-09-30 Martin Hoferichter , Jacobo Ruiz de Elvira , Bastian Kubis , Ulf-G. Meißner

The ETH model of the pion-nucleon ($\pi N$) interaction contains $t$-channel $\sigma$- and $\rho$-exchange graphs, as well as the $s$- and $u$-channel contributions with the well-established $s$ and $p$ baryon states with masses below $2$…

高能物理 - 唯象学 · 物理学 2014-05-09 Evangelos Matsinos , Günther Rasche

This paper contains the results of an analysis of recent low-energy pion-nucleon scattering experiments. Obtained are phase shifts, the pion-nucleon coupling constant and an estimate of the Sigma term.

核理论 · 物理学 2008-11-26 W. R. Gibbs , Li Ai , W. B. Kaufmann
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