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Related papers: Pion Mass Dependence of Nucleon Magnetic Moments

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The dependence of the nucleon mass on the mass of the pion is studied in the framework of the chiral quark-soliton model. A remarkable agreement is observed with lattice data from recent full dynamical simulations. The possibility and…

High Energy Physics - Lattice · Physics 2007-05-23 K. Goeke , J. Ossmann , P. Schweitzer , A. Silva

We investigate the quark mass dependence of the nucleon mass M_N. An interpolation of this observable, between a selected set of fully dynamical two-flavor lattice QCD data and its physical value, is studied using relativistic baryon chiral…

High Energy Physics - Lattice · Physics 2009-11-10 M. Procura , T. R. Hemmert , W. Weise

We present a dispersion relation in the pion-mass squared, which static quantities (nucleon mass, magnetic moment, etc.) obey under the assumption of analyticity in the entire complex $m_\pi^2$ plane modulo a cut at negative $m_\pi^2$…

High Energy Physics - Phenomenology · Physics 2014-11-20 Tim Ledwig , Vladimir Pascalutsa , Marc Vanderhaeghen

We present a light-front determination of the pionic contribution to the nucleon self-energy, $\Sigma_\pi$, to second-order in pion-baryon coupling constants that allows the pion-nucleon vertex function to be treated in a model-independent…

Nuclear Theory · Physics 2013-05-30 Mary Alberg , Gerald A. Miller

We study the mass of a nucleon in a nucleus using a model recently introduced for a nucleon current with a pion cloud component. The method of QCD sum rules is used to determine the mass shifts for nucleons to first order in nuclear density…

Nuclear Theory · Physics 2007-05-23 Andrew J. Harey , Leonard S. Kisslinger

Recent results on pion physics from lattice QCD are reviewed. We discuss quark mass dependences of pion mass and decay constant and compare them with the predictions from chiral perturbation theory. In particular we focus on the convergence…

High Energy Physics - Lattice · Physics 2014-11-20 Sinya Aoki

We calculate the quark mass dependence of both isovector and isoscalar anomalous magnetic moments of the nucleon in a chiral effective field theory with explicit pion, nucleon and Delta(1232) degrees of freedom to leading-one-loop order. In…

High Energy Physics - Lattice · Physics 2007-05-23 Thomas R. Hemmert , Wolfram Weise

We investigate the pion-mass dependence of the nucleon mass within the covariant SU(2) baryon chiral perturbation theory up to order p4 with and without explicit Delta(1232) degrees of freedom. We fit lattice QCD data from several…

High Energy Physics - Phenomenology · Physics 2015-06-18 L. Alvarez-Ruso , T. Ledwig , J. Martin Camalich , M. J. Vicente Vacas

We present numerical evidence that suggests the introduction of a non-zero pion mass might dramatically affect the structure of minimal energy Skyrmions. It appears that the shell-like Skyrmions which are the minima when the pions are…

High Energy Physics - Phenomenology · Physics 2010-04-05 Richard Battye , Paul Sutcliffe

We study the density dependence of the decay $\pi^0\to \gamma \gamma$ using the Skyrme Lagrangian to describe simultaneously both the matter background and mesonic fluctuations. Pion properties such as mass and decay constant are modified…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexander C. Kalloniatis , Byung-Yoon Park

We explore the chiral aspects of extrapolation of observables calculated within lattice QCD, using the nucleon magnetic moments as an example. Our analysis shows that the biggest effects of chiral dynamics occur for quark masses…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. W. Thomas , D. B. Leinweber , D. H. Lu

The pion-mass dependence of the nucleon mass within the covariant SU(2) baryon chiral perturbation theory both without and with explicit Delta(1232) degrees of freedom up to order p^4 is investigated. By fitting to lattice QCD data in 2 and…

High Energy Physics - Phenomenology · Physics 2013-10-18 L. Alvarez-Ruso , T. Ledwig , J. Martin Camalich , M. J. Vicente-Vacas

We extend an effective Lagrangian embodying broken scale and chiral symmetry to include explicit chiral symmetry breaking and an additional chiral invariant term which allows for an axial coupling constant greater than unity. We also…

Nuclear Theory · Physics 2009-10-28 G. Carter , P. J. Ellis , S. Rudaz

We compute the neutral pion mass dependence on a magnetic field in the weak field approximation at one-loop order. The calculation is carried out within the linear sigma model coupled to quarks and using Schwinger's proper-time…

High Energy Physics - Phenomenology · Physics 2018-12-19 Alejandro Ayala , Ricardo L. S. Farias , S. Hernandez-Ortiz , Luis A. Hernandez , D. Manreza Paret , R. Zamora

Lattice QCD simulations have made significant progress in the calculation of nucleon electromagnetic form factors in the chiral regime in recent years. With simulation results achieving pion masses of order ~180 MeV, there is an apparent…

High Energy Physics - Lattice · Physics 2013-05-30 J. M. M. Hall , D. B. Leinweber , R. D. Young

We calculate the neutral pion mass in the presence of an external magnetic field of arbitrary strength in the framework of the linear sigma model coupled to quarks at zero temperature. We find nonmonotonic behavior of the pion mass as a…

High Energy Physics - Phenomenology · Physics 2020-04-29 Aritra Das , Najmul Haque

The dense baryonic matter and hadron properties in medium were simulated by using a Skyrme model including the ground state vector mesons introduced from the hidden local symmetry approach up to the next to leading order. We found that both…

High Energy Physics - Phenomenology · Physics 2014-01-31 Yong-Liang Ma

The pattern of chiral symmetry breaking is exploited to compute vector and axial-vector pion matrix elements in a uniform magnetic field. Our results are model independent, and thereby constitute low-energy theorems that must be obeyed by…

High Energy Physics - Phenomenology · Physics 2024-06-04 Prabal Adhikari , Brian C. Tiburzi

The central two-pion exchange NN potential at large distances is studied in the framework of relativistic chiral symmetry and related directly to the nucleon scalar form factor, which describes the mass density of its pion cloud. This…

Nuclear Theory · Physics 2009-11-06 M. R. Robilotta

A scalar field, $\eta({\bf r})$, is coupled to the skyrmion. Its classical value in the vacuum ("condensate") reduces to the pion decay constant, $f_{\pi}$, being thus proportional to the chiral condensate $<\bar{q} q>$. A quadratic…

High Energy Physics - Phenomenology · Physics 2009-11-10 F. L. Braghin , I. P. Cavalcante
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