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Related papers: Nucleon mass and pion loops: Renormalization

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Within the one-loop approximation of baryon chiral perturbation theory we calculate all one-pion and two-pion exchange contributions to the nucleon-nucleon interaction. In fact we construct the elastic NN-scattering amplitude up to and…

Nuclear Theory · Physics 2009-10-30 N. Kaiser , R. Brockmann , W. Weise

As the residual interaction of quantum chromodynamics in low-energy region, the nucleon-nucleon (NN) potential can only be exactly described by the model picture now. In the Bonn potential, one of the most well-known NN interaction models,…

Nuclear Theory · Physics 2022-11-23 Jinniu Hu , Chencan Wang

Pion-nucleon elastic scattering in the dominant $P_{33}$ channel is examined in the model in which the interaction is of the form $\pi + N\leftrightarrow N, \Delta(1232)$. New expressions are found for the elastic pion-nucleon scattering…

Nuclear Theory · Physics 2014-11-18 D. J. Ernst

Poincare' covariant Faddeev equations for the nucleon and Delta are solved to illustrate that an internally consistent description in terms of confined-quark and nonpointlike confined-diquark-correlations can be obtained. pi N-loop induced…

Nuclear Theory · Physics 2010-02-17 M. B. Hecht , M. Oettel , C. D. Roberts , S. M. Schmidt , P. C. Tandy , A. W. Thomas

We study the perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering for p- and d-waves within the effective field theory approach. The one pion exchange potential is fully iterated at the leading order in…

Nuclear Theory · Physics 2011-12-16 M. Pavon Valderrama

We investigate effects of consistent (conserving the number of degrees of freedom) and inconsistent pion-nucleon-isobar couplings on the isobar propagator in vacuum and in nuclear medium. Using the consistent coupling in conjunction with a…

Nuclear Theory · Physics 2015-06-03 C. L. Korpa

The origin of the breakdown scale in an effective field theory treatment of nuclear forces is investigated. Different organizational schemes used in the nonperturbative calculation of nucleon-nucleon scattering seem to break down for…

Nuclear Theory · Physics 2007-05-23 James V. Steele

We analyze the renormalization of the nucleon--nucleon interaction at low energies in coordinate space for both one and two pion exchange chiral potentials. The singularity structure of the long range potential and the requirement of…

Nuclear Theory · Physics 2007-05-23 M. Pavon Valderrama , E. Ruiz Arriola

The complete spin structure of the pion-nucleon-loop contribution to the delta self-energy and dressed propagator is calculated in vacuum, with the most general form of the pion-nucleon-delta vertex. The imaginary parts of the ten…

High Energy Physics - Phenomenology · Physics 2022-02-23 C. L. Korpa

We investigate the behaviour of the nuclear forces as a function of the light quark masses (or, equivalently, pion mass) in the framework of chiral effective field theory at next-to-leading order. The nucleon-nucleon force is described in…

Nuclear Theory · Physics 2011-07-18 Evgeny Epelbaum , Ulf-G. Meißner , Walter Glöckle

The recent unbiased measurements of the electric form factor of the neutron suggest that its shape may be interpreted as a smooth broad distribution with a bump at Q^2 \approx 0.3(GeV/c)^2 superimposed. As a consequence the corresponding…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Friedrich , Th. Walcher

The role of the suppression of the coupling constant in the pseudovector pion-nucleon interaction is examined to account for the calculation of the magnetic moment of nucleon. Among three kinds of the higher-order corrections the vacuum…

Nuclear Theory · Physics 2024-04-25 Susumu Kinpara

Modifications of baryon properties due to the restoration of the chiral symmetry in an external hot and dense baryon medium are investigated in an effective chiral quark-meson theory. The nucleon arises as a soliton of the Gell-Mann -…

High Energy Physics - Phenomenology · Physics 2009-10-22 Chr. V. Christov , E. Ruiz Arriola , K. Goeke

The s-wave correlated $\pi$-$\pi$ strength distribution in cold nuclear matter is investigated. The in-medium single pions are renormalized by means of the usual p-wave couplings to nucleons and $\Delta$'s. Two groups of models for the…

Nuclear Theory · Physics 2011-07-19 Z. Aouissat , R. Rapp , G. Chanfray , P. Schuck , J. Wambach

The nucleon-nucleon (NN) t-matrix is calculated directly as function of two vector momenta for different realistic NN potentials. To facilitate this a formalism is developed for solving the two-nucleon Lippmann-Schwinger equation in…

Nuclear Theory · Physics 2009-11-06 I. Fachruddin , Ch. Elster , W. Glöckle

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…

Nuclear Theory · Physics 2019-04-12 E. Friedman , A. Gal

A symmetry-preserving analysis of strong interaction quantum field equations is used to complete a unified treatment of pion, kaon, nucleon electromagnetic and gravitational form factors. Findings include a demonstration that the pion…

High Energy Physics - Phenomenology · Physics 2024-10-10 Z. -Q. Yao , Y. -Z. Xu , D. Binosi , Z. -F. Cui , M. Ding , K. Raya , C. D. Roberts , J. Rodríguez-Quintero , S. M. Schmidt

Baryon chiral perturbation theory with explicit $\Delta(1232)$ degrees of freedom is considered. Using the extended on-mass-shell renormalization scheme, a manifestly Lorentz-invariant effective field theory with a systematic power counting…

High Energy Physics - Phenomenology · Physics 2009-11-11 C. Hacker , N. Wies , J. Gegelia , S. Scherer

We study how the electromagnetic structure of the nucleon is influenced by a pion cloud. To this aim we make use of a constituent-quark model with instantaneous confinement and a pion that couples directly to the quarks. To derive the…

Nuclear Theory · Physics 2014-01-30 Daniel Kupelwieser , Wolfgang Schweiger

Elastic scattering of pions from finite nuclei is investigated utilizing a contemporary, momentum--space first--order optical potential combined with microscopic estimates of second--order corrections. The calculation of the first--order…

Nuclear Theory · Physics 2009-10-22 C. M. Chen , D. J. Ernst , M. B. Johnson