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Related papers: Two-pion exchange potential and the $\pi N$ amplit…

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We evaluate the two pion exchange contribution to the nucleon-nucleon potential in configuration space using a "minimal chiral model" containing only pions and nucleons. We argue that this model has nowadays a rather firm conceptual basis,…

Nuclear Theory · Physics 2008-02-03 C. A. da Rocha , M. R. Robilotta , J. L. Ballot

We construct a coordinate-space chiral potential, including $\Delta$-isobar intermediate states in its two-pion-exchange component. The contact interactions entering at next-to-leading and next-to-next-to-next-to-leading orders ($Q^2$ and…

Nuclear Theory · Physics 2015-06-23 M. Piarulli , L. Girlanda , R. Schiavilla , R. Navarro Pérez , J. E. Amaro , E. Ruiz Arriola

In this work improvements to the application of the Gross equation to nuclear systems are tested. In particular we evaluate the two pion exchange diagrams, including the crossed-box diagram, using models developed within the…

Nuclear Theory · Physics 2009-10-31 G. Ramalho , A. Arriaga , M. T. Peña

We use a recently improved version of the chiral nucleon-nucleon potential at next-to-next-to-leading order to calculate the $^1S_0$ pairing gap in isospin-symmetric nuclear matter. The pairing potential consists of the long-range one- and…

Nuclear Theory · Physics 2009-11-10 N. Kaiser , T. Niksic , D. Vretenar

We calculate the impact of the complete set of two-pion exchange contributions at chiral order four (also known as next-to-next-to-next-to-leading order, N3LO) on peripheral partial waves of nucleon-nucleon scattering. Our calculations are…

Nuclear Theory · Physics 2009-11-07 D. R. Entem , R. Machleidt

Employing the covariant baryon chiral perturbation theory, we calculate the leading and next-to-leading order two-pion exchange (TPE) contributions to $NN$ interaction up to order $O(p^3)$. We compare the so-obtained $NN$ phase shifts with…

Nuclear Theory · Physics 2020-11-18 Yang Xiao , Chun-Xuan Wang , Jun-Xu Lu , Li-Sheng Geng

The contribution of a $\pi \pi$-exchange three-body force to the three-nucleon binding energy is calculated in terms of a $\pi N$ amplitude. The latter is based on a meson-theoretical model of $\pi N$ interaction developed by the J\"ulich…

Nuclear Theory · Physics 2015-06-26 T. -Y. Saito , J. Haidenbauer

We outline the progress made in the past five years by the S\~ao Paulo group in the development of a two-pion exchange nucleon-nucleon potential within a Lorentz-invariant framework of (baryon) chiral perturbation theory.

Nuclear Theory · Physics 2008-11-26 Renato Higa , Manoel R. Robilotta , Carlos A. da Rocha

In this work, the two-photon-exchange (TPE) effects in $ep\rightarrow en\pi^+$ at small $-t$ are discussed within a hadronic model. Under the pion dominance approximation the TPE contribution to the amplitude can be described by a scalar…

High Energy Physics - Phenomenology · Physics 2022-03-29 Hui-Yun Cao , Hai-Qing Zhou

A meson-exchange model for pion-nucleon scattering was previously constructed using a three-dimensional reduction scheme of the Bethe-Salpeter equation for a model Lagrangian involving \pi, \eta, N, \Delta, \rho, and \sigma fields. We…

Nuclear Theory · Physics 2008-11-26 Guan Yeu Chen , S. S. Kamalov , Shin Nan Yang , D. Drechsel , L. Tiator

A meson-exchange piN model, previously constructed using three-dimensional reduction scheme of the Bethe-Salpeter equation for a model Lagrangian involving \pi, \eta, N, \Delta, rho, and \sigma fields, is extended to energies up to 2 GeV by…

Nuclear Theory · Physics 2008-11-26 Shin Nan Yang , Guan Yeu Chen , S. S. Kamalov

Parity nonconserving two-pion exchange in elastic pp scattering is investigated in the presence of phenomenological strong distortions in various models. Parity violation is included in the nucleon-pion vertex considering NN and N…

Nuclear Theory · Physics 2008-11-26 J. A. Niskanen , T. M. Partanen , M. J. Iqbal

We point out that the $\Delta\pi$ component of the nucleon wave function is vital to the interpretation of the recent H1 data for leading baryon production. While the $n/p$ ratio is equal to two with the $N\pi$ component alone, the…

High Energy Physics - Phenomenology · Physics 2010-02-17 A. W. Thomas , C. Boros

To study cross sections and polarization asymmetries for the processes $e p \to e n \pi^+$ and $e p \to e p \pi^0$ in the backward region, we develop a flexible phenomenological model for nucleon-to-pion transition distribution amplitudes…

High Energy Physics - Phenomenology · Physics 2025-11-03 Bernard Pire , Kirill Semenov-Tian-Shansky , Paweł Sznajder , Lech Szymanowski

The nucleon-nucleon interaction arising from the exchange of three pions and the excitation of $\Delta(1232)$-isobars in intermediate states is studied. Approximating the $\Delta$-propagator by the inverse $\Delta$N mass-splitting,…

Nuclear Theory · Physics 2015-09-02 N. Kaiser

The one solitary boson exchange potential (OSBEP) is used to evaluate observables of NN elastic scattering below pion threshold. In this approach, we use a nonlinear model of self-interacting mesons as a substitution for the commonly used…

Nuclear Theory · Physics 2008-11-26 L. Jaede , H. V. von Geramb

The pion-nucleon amplitude is considered in the vicinity of the elastic scattering threshold within a relativistic dynamical model dressing the pi N N and pi N Delta vertices self-consistently with an infinite number of meson loops. The…

Nuclear Theory · Physics 2009-11-07 S. Kondratyuk

We investigate the symptoms of broken rotational invariance, caused by the use of light front dynamics, for deuterons obtained using one- and two-pion-exchange potentials. A large mass splitting between states with m=0 and m=1 is found for…

Nuclear Theory · Physics 2010-11-19 Jason R. Cooke , Gerald A. Miller

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

We present realistic models of pion-exchange three-nucleon interactions obtained by fitting the energies of all the 17 bound or narrow states of 3 <= A <= 8 nucleons, calculated with less than 2% error using the Green's function Monte Carlo…

Nuclear Theory · Physics 2008-11-26 Steven C. Pieper , V. R. Pandharipande , R. B. Wiringa , J. Carlson