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We investigate the possibility to determine the value of the pion-nucleon sigma term $\sigma_{\pi N}$ precisely by the experimental observables of the deeply bound pionic atoms. We discuss the sensitivity of the observables to $\sigma_{\pi…

The pion-nucleon sigma term is a quantity involved in many important aspects of particle and nuclear physics. In this review I show its origin and how it is connected to important questions as the origin of mass of the ordinary matter,…

高能物理 - 唯象学 · 物理学 2022-05-04 J. M. Alarcón

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

There has been a discrepancy between values of the pion-nucleon sigma term extracted by two different methods for many years. Analysis of recent high precision pion-nucleon data has widened the gap between the two determinations. It is…

核理论 · 物理学 2009-11-10 W. R. Gibbs

The pion-nucleon $\sigma$-term can be stringently constrained by the combination of analyticity, unitarity, and crossing symmetry with phenomenological information on the pion-nucleon scattering lengths. Recently, lattice calculations at…

高能物理 - 格点 · 物理学 2016-07-01 Martin Hoferichter , Jacobo Ruiz de Elvira , Bastian Kubis , Ulf-G. Meißner

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

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

A brief review of the pion-nucleon sigma-term is given. Aspects of both chiral perturbation theory and phenomenology are discussed.

高能物理 - 唯象学 · 物理学 2007-05-23 M. E. Sainio

The pion nucleon sigma-term is extracted on the basis of the soliton picture of the nucleon from the mass spectrum of usual and the recently observed exotic baryons, assuming that they have positive parity. The value found is consistent…

高能物理 - 唯象学 · 物理学 2007-05-23 P. Schweitzer

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

The nuclear sigma term is calculated including the nuclear matrix element of the derivative of the NN interaction with respect to the quark mass, $m_q\frac{\partial V_{NN}}{\partial m_q}$. The NN potential is evaluated in the…

核理论 · 物理学 2008-11-26 A. Gammal , T. Frederico

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 discuss the implications of a new determination of the pion-nucleon sigma term for the evaluation of the neutralino-nucleon cross-section, and, in turn, for detection rates for relic neutralinos in WIMP direct experiments and in some of…

高能物理 - 唯象学 · 物理学 2011-05-23 A. Bottino , F. Donato , N. Fornengo , S. Scopel

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

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

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

Several new theoretical and experimental developments concerning the determination of the nucleon sigma term are presented and discussed. Contribution to the Eighth International Symposium on Meson-Nucleon Physics and the Structure of the…

高能物理 - 唯象学 · 物理学 2011-04-15 Marc Knecht

Nucleon sigma terms are quantities that play an important role in various areas: among others, they connect the pion-nucleon and the kaon-nucleon amplitudes to the hadron spectrum and they are also relevant for the direct detection of Dark…

高能物理 - 格点 · 物理学 2019-08-14 Christian Torrero

I discuss low-energy pion-nucleon scattering in the framework of chiral perturbation theory. I argue that using this theoretical method one is able to handle the in some cases tremendous experimental accuracy (for the low partial waves). I…

高能物理 - 唯象学 · 物理学 2007-05-23 Ulf-G. Meißner

We evaluate the pion-nucleon and the pion-Delta sigma terms by employing the method of quantum chromodynamics (QCD) sum rules. The obtained value of the pion-nucleon sigma term is compatible with the larger values already anticipated by the…

高能物理 - 唯象学 · 物理学 2008-11-26 G. Erkol , M. Oka
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