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Related papers: A Dynamical Resolution of the Sigma Term Puzzle

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A new QCD calculation of the mass of the nucleon is presented. It makes use of a polynomial kernel in the dispersion integrals tailored to practically eliminate the contribution of the unknown 1=2+ and 1=2- continuum. This approach avoids…

High Energy Physics - Phenomenology · Physics 2014-04-23 Nasrallah F. Nasrallah , Karl Schilcher

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…

High Energy Physics - Phenomenology · Physics 2015-06-03 J. Martin Camalich , J. M. Alarcon , J. A. Oller

We calculate the variation of the chiral condensate in medium with respect to the quark chemical potential and evaluate the pion-nucleon sigma term via the Hellmann-Feynman theorem. The variation of chiral condensate in medium are obtained…

Nuclear Theory · Physics 2020-03-27 Jing-Hui Huang , Ting-Ting Sun , Huan Chen

We calculate both connected and disconnected contribution to the $\pi$-$N$ $\sigma$-term in quenched lattice QCD with Wilson quark action on a $12^3\times 20$ lattice at $\beta=5.7$. The latter is evaluated with the aid of the variant wall…

High Energy Physics - Lattice · Physics 2009-10-22 M. Fukugita , Y. Kuramashi , M. Okawa , A. Ukawa

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Erkol , M. Oka

A status report is given for a joint project of the Budapest-Marseille-Wuppertal collaboration and the Regensburg group to study the quark mass-dependence of octet baryons in SU(3) Baryon XPT. This formulation is expected to extend to…

High Energy Physics - Lattice · Physics 2015-03-17 S. Durr , Z. Fodor , J. Frison , T. Hemmert , C. Hoelbling , S. D. Katz , S. Krieg , T. Kurth , L. Lellouch , T. Lippert , A. Portelli , A. Ramos , A. Schafer , K. K. Szabo

Considering simultaneously isospin and SU(3) flavor symmetry breakings, we investigate the complete mass splittings of SU(3) baryons within a chiral soliton model, a {}"model-independent approach" being employed. In linear order several new…

High Energy Physics - Phenomenology · Physics 2012-09-03 Ghil-Seok Yang , Hyun-Chul Kim

We report a new analysis of lattice simulation results for octet baryon masses in 2+1-flavor QCD, with an emphasis on a precise determination of the strangeness nucleon sigma term. A controlled chiral extrapolation of a recent PACS-CS…

Nuclear Theory · Physics 2015-06-05 P. E. Shanahan , A. W. Thomas , R. D. Young

Employing a symmetry-preserving contact-interaction formulation of the Dyson-Schwinger equations in quantum chromodynamics (QCD), we examine the identity of the $\sigma$ meson and its implications for the gravitational structure of hadrons.…

High Energy Physics - Phenomenology · Physics 2025-12-16 Zanbin Xing , Khépani Raya , Yu-xin Liu , Lei Chang

In this work we explore the effect of pion cloud contributions to the mass of the nucleon and the delta baryon. To this end we solve a coupled system of Dyson-Schwinger equations for the quark propagator, a Bethe-Salpeter equation for the…

High Energy Physics - Phenomenology · Physics 2014-05-06 Helios Sanchis-Alepuz , Christian S. Fischer , Stanislav Kubrak

The gauge independence of the dynamical fermion mass generated through chiral symmetry breaking in QED in a strong, constant external magnetic field is critically examined. We present a (first, to the best of our knowledge) consistent…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. N. Leung , S. -Y. Wang

We calculate the masses and sigma terms of the doubly charmed baryons up to next-to-next-to-next-to-leading order (i.e., $\mathcal{O}(p^4)$) in a covariant baryon chiral perturbation theory by using the extended-on-mass-shell…

High Energy Physics - Phenomenology · Physics 2018-03-14 De-Liang Yao

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…

High Energy Physics - Phenomenology · Physics 2018-01-17 Jacobo Ruiz de Elvira , Martin Hoferichter , Bastian Kubis , Ulf-G. Meißner

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…

High Energy Physics - Phenomenology · Physics 2016-05-25 De-Liang Yao , D. Siemens , V. Bernard , E. Epelbaum , A. M. Gasparyan , J. Gegelia , H. Krebs , Ulf-G. Meißner

In this paper, we consider an exotic baryon (pentaquark) as a bound state of two-particle systems composed of a baryon (nucleon) and a meson.We used a baryon - meson picture to reduce a complicated five-body problem to a simple two-body…

High Energy Physics - Phenomenology · Physics 2016-07-19 Majid Monemzadeh , Narges Tazimi , Shahnaz Babaghodrat

The scattering amplitude of the pion-nucleon elastic scattering is calculated by the lowest-order approximation of the perturbative expansion with the non-perturbative term. The self-energy of nucleon is determined so as to give the…

Nuclear Theory · Physics 2022-04-22 Susumu Kinpara

We present a lattice-QCD based analysis of the nucleon sigma terms using gauge ensembles with $N_f = 2 + 1$ flavors of ${\cal O}(a)$-improved Wilson fermions, with a complete error budget concerning excited-state contaminations, the chiral…

High Energy Physics - Lattice · Physics 2024-01-17 Andria Agadjanov , Dalibor Djukanovic , Georg von Hippel , Harvey B. Meyer , Konstantin Ottnad , Hartmut Wittig

We present a comprehensive analysis of the SU(3) octet and decuplet baryon masses and $\sigma$-terms using high-precision lattice QCD data and chiral SU(3) effective theory with finite range regularization. The effects of various systematic…

Nuclear Theory · Physics 2023-06-01 P. M. Copeland , Chueng-Ryong Ji , W. Melnitchouk

We employ the QCD sum rules method for description of nucleons in nuclear matter. We show that this approach provides a consistent formalism for solving various problems of nuclear physics. Such nucleon characteristics as the Dirac…

Nuclear Theory · Physics 2015-05-20 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova

We consider a symmetry-preserving approach to the nucleon-nucleon scattering problem in the framework of the higher-derivative formulation of baryon chiral perturbation theory. Within this framework the leading-order amplitude is calculated…

Nuclear Theory · Physics 2009-01-16 D. Djukanovic , J. Gegelia , S. Scherer , M. R. Schindler