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Chiral effective field theory (ChEFT) is a modern framework to analyze the properties of few-nucleon systems at low energies. It is based on the most general effective Lagrangian for pions and nucleons consistent with the chiral symmetry of…

Nuclear Theory · Physics 2015-05-20 D. Rozpedzik , J. Golak , S. Kolling , E. Epelbaum

We evaluate, within one-loop chiral perturbation theory, the two-pion exchange diagrams with single and double delta-isobar excitation contributing to elastic NN-scattering. We find that virtual $\Delta$-excitation processes (in the static…

Nuclear Theory · Physics 2010-04-06 N. Kaiser , S. Gerstendoerfer , W. Weise

Naively, the "best" method of renormalization is the one where a momentum cutoff is taken to infinity while maintaining stable results due to a cutoff-dependent adjustment of counterterms. We have applied this renormalization method in the…

Nuclear Theory · Physics 2012-08-14 Ch. Zeoli , R. Machleidt , D. R. Entem

We extend the ab initio no-core shell model/resonating-group method to include three-nucleon (3N) interactions for the description of nucleon-nucleus collisions. We outline the formalism, give algebraic expressions for the 3N-force…

We have developed a subtractive renormalization method with which we can evaluate nucleon-nucleon (NN) scattering phase shifts produced by the NN potential obtained at leading, next-to-leading, and next-to-next-to-leading order (NNLO) in…

Nuclear Theory · Physics 2014-11-20 C. -J. Yang , Ch. Elster , D. R. Phillips

The charge-dependent nucleon-nucleon ($NN$) interactions are crucial in understanding the nuclear structure and reaction problems. This work explores the charge-dependent $NN$ interaction in covariant chiral effective field theory. By…

Nuclear Theory · Physics 2025-04-23 Yang Xiao , Jun-Xu Lu , Li-Sheng Geng

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 construct a relativistic and unitary approach to 'high' energy pion- and photon-nucleon reactions taking the $\pi N, \pi \Delta$, $\rho N$, $\omega N$, $\eta N, K \Lambda, K \Sigma$ final states into account. Our scheme dynamically…

Nuclear Theory · Physics 2010-12-16 M. F. M. Lutz , Gy. Wolf , B. Friman

We study the nucleon-nucleon interaction in a chiral constituent quark model by using the resonating group method, convenient for treating the interaction between composite particles. The calculated phase shifts for the 3S1 and 1S0 channels…

Nuclear Theory · Physics 2009-11-06 D. Bartz , Fl. Stancu

We present a new phenomenological Nucleon-Nucleon chiral potential fitted to 925 pp and 1743 np scattering data selected from the Granada-2013 NN-database up to a laboratory energy of $125$ MeV with 20 short distance parameters and three…

Nuclear Theory · Physics 2015-05-13 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

We perform a nonperturbative calculation of the 1S0 NN scattering amplitude using an effective field theory (EFT) expansion. The expansion we advocate is a modification of what has been used previously; it is no a chiral expansion in powers…

Nuclear Theory · Physics 2009-10-30 David B. Kaplan , Martin J. Savage , Mark B. Wise

It is demonstrated that both elastic and inelastic $NN$ scattering at laboratory energies up to 600--800 MeV, at least in some partial waves characterized by a large inelasticity, can be described by a superposition of the conventional…

Nuclear Theory · Physics 2019-05-22 V. I. Kukulin , V. N. Pomerantsev , O. A. Rubtsova , M. N. Platonova

We revisit the rates of neutrino pair emission and absorption from nucleon-nucleon bremsstrahlung in supernova matter using the $T$-matrix formalism in the long-wavelength limit. Based on two-body potentials of chiral effective field theory…

High Energy Astrophysical Phenomena · Physics 2019-12-19 Gang Guo , Gabriel Martínez-Pinedo

We present a new lattice formulation of chiral effective field theory interactions with a simpler decomposition into spin channels. With these interactions the process of fitting to the empirical scattering phase shifts is simplified, and…

Nuclear Theory · Physics 2018-10-24 Ning Li , Serdar Elhatisari , Evgeny Epelbaum , Dean Lee , Bing-Nan Lu , Ulf-G. Meißner

Based on the spectator expansion of the multiple scattering series we employ a chiral next-to-next-to-leading order (NNLO) nucleon-nucleon interaction on the same footing in the structure as well as in the reaction calculation to obtain an…

Nuclear Theory · Physics 2022-01-26 Ch. Elster , M. Burrows , R. B. Baker , S. P. Weppner , K. D. Launey , P. Maris , G. Popa

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 investigate the parity-violating nucleon-nucleon potential as obtained in chiral effective field theory. By using resonance saturation we compare the chiral potential to the more traditional one-meson exchange potential. In particular,…

Nuclear Theory · Physics 2014-07-17 J. de Vries , N. Li , Ulf-G. Meißner , N. Kaiser , X. -H. Liu , S. -L. Zhu

We have quantified the statistical uncertainties of the low-energy coupling-constants (LECs) of an optimized nucleon-nucleon (NN) interaction from chiral effective field theory ($\chi$EFT) at next-to-next-to-leading order (NNLO). In…

Nuclear Theory · Physics 2015-06-10 A. Ekström , B. D. Carlsson , K. A. Wendt , C. Forssén , M. Hjorth-Jensen , R. Machleidt , S. M. Wild

The pi-N interaction is studied within a meson-exchange model and in a coupled-channels approach which includes the channels pi-N, eta-N, as well as three effective pi-pi-N channels namely rho-N, pi-Delta, and sigma-N. Starting out from an…

Nuclear Theory · Physics 2009-11-10 A. M. Gasparyan , J. Haidenbauer , C. Hanhart , J. Speth

We analyse elastic-pion nucleon scattering to fourth order in heavy baryon chiral perturbation theory, extending the third order study published in Nucl. Phys. A640 (1998) 199. We use various partial wave analyses to pin down the low-energy…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nadia Fettes , Ulf-G. Meißner
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