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Related papers: Nucleon-Nucleon Interactions from Dispersion Relat…

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We present results for the nucleon's leading-twist spin-independent valence parton distribution functions obtained from a theoretical framework based on the Dyson-Schwinger equations (DSEs) of QCD that previously gave an excellent…

Nuclear Theory · Physics 2018-08-01 Kyle D. Bednar , Ian C. Cloët , Peter C. Tandy

Broken chiral symmetry has become the basis for a unified treatment of hadronic interactions at low energies. After reviewing mechanisms for spontaneous chiral symmetry breaking, I outline the construction of the low--energy effective field…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gerhard Ecker

By solving the Schr\"{o}dinger equation for the three-quark system in the hyperspherical harmonic approach, we have studied the low energy part of the nucleon and $\Delta$ spectra using a quark-quark interaction which reproduces the…

We extend our previous study of elastic pion-nucleon scattering in the framework of chiral perturbation theory by performing a combined analysis of the reactions $\pi N \to \pi N$ and $\pi N \to \pi \pi N$. The calculation is carried out to…

Nuclear Theory · Physics 2020-03-05 D. Siemens , V. Bernard , E. Epelbaum , A. M. Gasparyan , H. Krebs , Ulf-G. Meißner

We consider matrix elements of two-nucleon operators that arise in chiral effective theories of the two-nucleon system. Generically, the short-distance piece of these operators scales as 1/r^n, with r the relative separation of the two…

Nuclear Theory · Physics 2008-11-26 L. Platter , D. R. Phillips

The reaction pi- d -> n n gamma is calculated in chiral perturbation theory so as to facilitate an extraction of the neutron-neutron scattering length (a_nn). We include all diagrams up to O(Q^3). This includes loop effects in the…

Nuclear Theory · Physics 2009-04-17 A. Gardestig , D. R. Phillips

The electromagnetic form factors of the nucleon have been calculated in a chiral constituent-quark model. The nucleon wave functions are obtained by solving a Schr\"odinger-type equation for a semi-relativistic Hamiltonian with an effective…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Boffi , P. Demetriou , M. Radici , R. F. Wagenbrunn

We adopt the heavy baryon chiral perturbation theory to calculate the $\Sigma_cN$ interaction to the next-to-leading order. We consider the contact interactions, one-pion-exchange contributions, two-pion-exchange diagrams, and…

Nuclear Theory · Physics 2020-07-01 Lu Meng , Bo Wang , Shi-Lin Zhu

Predictions of the existence of well-defined deeply bound pionic atom states for heavy nuclei and the eventual observation of such states by the (d,3He) reaction have revived interest in the pion-nucleus interaction at threshold and in its…

Nuclear Theory · Physics 2010-10-27 E. Friedman

We investigate the reaction pn -> dpipi in the framework of Chiral Perturbation Theory. For the first time a complete calculation of the leading order contributions is presented. We identify various diagrams that are of equal importance as…

Nuclear Theory · Physics 2015-05-19 Bochao Liu , Vadim Baru , Johann Haidenbauer , Christoph Hanhart

We propose a method for calculating the nucleon form factors (FFs) of $G$-parity-even operators by combining Chiral Effective Field Theory ($\chi$EFT) and dispersion analysis. The FFs are expressed as dispersive integrals over the two-pion…

High Energy Physics - Phenomenology · Physics 2017-11-29 J. M. Alarcón , C. Weiss

We present a perturbative approach to solving the three-nucleon continuum Faddeev equation. This approach is particularly well suited to dealing with variable strengths of contact terms in a chiral three-nucleon force. We use examples of…

Nuclear Theory · Physics 2021-05-26 H. Witała , J. Golak , R. Skibiński , K. Topolnicki

As a first step to analyze the electromagnetic meson production reactions in the nucleon resonance region, the parameters of the hadronic interactions of a dynamical coupled-channel model, developed in {\it Physics Reports 439, 193 (2007)},…

Nuclear Theory · Physics 2008-11-26 B. Julia-Diaz , T. -S. H. Lee , A. Matsuyama , T. Sato

We apply improved nucleon-nucleon potentials up to fifth order in chiral effective field theory, along with a new analysis of the theoretical truncation errors, to study nucleon-deuteron (Nd) scattering and selected low-energy observables…

We employ the chiral nucleon-nucleon potential derived using the method of unitary transformation up to next-to-next-to-leading order (NNLO) to study bound and scattering states in the two-nucleon system. The predicted partial wave phase…

Nuclear Theory · Physics 2009-11-06 E. Epelbaum , H. Kamada , A. Nogga , H. Witala , W. Gloeckle , Ulf-G. Meissner

We use chiral perturbation theory to compute the effective nucleon propagator in an expansion about low density in the chiral limit. We neglect four-nucleon interactions and focus on pion exchange. Evaluating the nucleon self-energy on its…

Nuclear Theory · Physics 2009-11-10 E. S. Fraga , Y. Hatta , R. D. Pisarski , J. Schaffner-Bielich

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

We obtain relations between partial-wave amplitudes for pi-N-->pi-N and pi-N-->pi-Delta directly from large N_c QCD. While linear relations among certain amplitudes holding at leading order (LO) in 1/N_c were derived in the context of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Thomas D. Cohen , Daniel C. Dakin , Richard F. Lebed , Abhinav Nellore

It has been shown for the first time that $NN$ interaction, at least in some partial waves, can be quantitatively described by the superposition of a long-range one-pion exchange and a short-range mechanism based on the complex pole in the…

Nuclear Theory · Physics 2020-03-18 V. I. Kukulin , V. N. Pomerantsev , O. A. Rubtsova , M. N. Platonova

We consider the nucleon-nucleon scattering problem by applying time-ordered perturbation theory to the Lorentz invariant formulation of baryon chiral perturbation theory. Using a symmetry preserving higher derivative form of the effective…

Nuclear Theory · Physics 2016-11-03 J. Behrendt , E. Epelbaum , J. Gegelia , Ulf-G. Meißner , A. Nogga