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Related papers: Deconstructing 1S0 nucleon-nucleon scattering

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We consider nucleon-nucleon (NN) interactions from chiral effective field theory. In this work we restrict ourselves to the elastic NN scattering. We apply the N/D method to calculate the NN partial waves taking as input the one-pion…

Nuclear Theory · Physics 2015-05-28 M. Albaladejo , J. A. Oller

The $S$- and $P$- wave phase shifts of low-energy pion-nucleon scatterings are analysed using Peking University representation, in which they are decomposed into various terms contributing either from poles or branch cuts. We estimate the…

High Energy Physics - Phenomenology · Physics 2018-08-01 Yu-Fei Wang , De-Liang Yao , Han-Qing Zheng

Nonperturbative effective field theory calculations for NN scattering seem to break down at rather low momenta. By examining several toy models, we clarify how effective field theory expansions can in general be used to properly separate…

Nuclear Theory · Physics 2009-10-31 David B. Kaplan , James V. Steele

From recent charge exchange measurements in the extreme forward direction, an independent and precise determination of the pion nucleon coupling constant is possible. This determination has reopened the debate on the value of this…

High Energy Physics - Phenomenology · Physics 2012-07-19 F. Myhrer

Low-energy theorems (LETs) for effective-range parameters in nucleon-nucleon scattering encode properties of the long-range part of the nuclear force. We compute LETs for S-wave neutron-proton scattering using chiral effective field theory…

Nuclear Theory · Physics 2024-07-03 Oliver Thim

We present the two- and three-pion exchange contributions to the nucleon-nucleon interaction which occur at next-to-next-to-next-to-next-to-leading order (N4LO, fifth order) of chiral effective field theory, and calculate nucleon-nucleon…

Nuclear Theory · Physics 2015-01-14 D. R. Entem , N. Kaiser , R. Machleidt , Y. Nosyk

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

Next to leading order effective field theory calculations are performed for $ {}^1S_0$ NN scattering using subtractive renormalization procedure. One pion exchange and contact interaction potentials are iterated using Lippman-Schwinger…

Nuclear Theory · Physics 2009-10-31 J. Gegelia

The longest-range part of the nuclear force due to the one-pion exchange governs the energy dependence of the scattering amplitude in the near-threshold region and imposes correlations between the coefficients in the effective range…

Nuclear Theory · Physics 2015-07-15 V. Baru , E. Epelbaum , A. A. Filin , J. Gegelia

A dynamical model for S-- and P--wave correlated $2 \pi$ (and $K \bar K$) exchange between a kaon and a nucleon is presented, starting from corresponding $N \bar N \rightarrow K \bar K$ amplitudes in the pseudophysical region, which have…

Nuclear Theory · Physics 2009-10-28 M. Hoffmann , J. W. Durso , K. Holinde , B. C. Pearce , J. Speth

We report a next-to-leading-order (NLO) chiral perturbation theory calculation of the neutron-proton scattering cross section in the ${}^1S_0$ channel using a cut-off regularization. The inclusion of two-pion exchanges in the irreducible…

Nuclear Theory · Physics 2014-11-18 C. H. Hyun , T. -S. Park , D. -P. Min

We consider pion-nucleon scattering in heavy-baryon chiral perturbation theory to third order. All electromagnetic corrections appearing to this order are included. We thus have a consistent description of strong and electromagnetic…

High Energy Physics - Phenomenology · Physics 2009-11-07 Nadia Fettes , Ulf-G. Meißner

Low energy phenomena involving two nucleons can be successfully described using effective field theory. Because of the relatively large expansion parameter, it is only at next-to-next-to-leading order (NNLO) where one can expect to see…

Nuclear Theory · Physics 2007-05-23 Thomas Mehen , Iain W. Stewart

The nucleon-nucleon interaction in the region of the nucleon kinetic energy up to 1000 MeV is analysed together with the reaction $\gamma d \to pn$ in the photon energy range $E_{\gamma}=0-400$ MeV. Nine nucleon-nucleon $s$-channel partial…

Nuclear Theory · Physics 2015-06-26 A. V. Anisovich , V. A. Sadovnikova

Neutron-deuteron scattering in the context of ``pion-less'' Effective Field Theory at very low energies is investigated to next-to-next-to-leading order. Convergence is improved by fitting the two-nucleon contact interactions to the tail of…

Nuclear Theory · Physics 2009-11-10 Harald W. Griesshammer

The standard way to demonstrate the relevance of chiral symmetry for the NN interaction is to consider higher partial waves of NN scattering which are controlled entirely by chiral pion-exchanges (since contacts vanish). However, in…

Nuclear Theory · Physics 2021-01-19 H. Alanazi , R. Machleidt

We investigate renormalization of chiral nuclear forces in the coupled channel of 3S1-3D1 of nucleon-nucleon scattering. The one-pion exchange potential is treated nonperturbatively at leading order while subleading potentials are…

Nuclear Theory · Physics 2025-12-19 Rui Peng , Bingwei Long , Fu-Rong Xu

A microscopic model for the $N\bar N\to\pi\pi$ process is presented in the meson exchange framework, which in the pseudophysical region agrees with available quasiempirical information. The scalar ($\sigma$) and vector ($\rho$) piece of…

Nuclear Theory · Physics 2009-09-25 C. Schütz , J. W. Durso , K. Holinde , B. C. Pearce , J. Speth

The discrete energy-eigenvalues of two nucleons interacting with a finite-range nuclear force and confined to a harmonic potential are used to numerically reconstruct the free-space scattering phase shifts. The extracted phase shifts are…

Nuclear Theory · Physics 2014-11-21 Thomas Luu , Martin Savage , Achim Schwenk , James P. Vary

In the framework of a Chiral effective theory with dibaryon fields, we calculate the pion mass dependence of the inverse scattering length of the nucleon-nucleon system in the $^3S_1$ channel at order ${(m_\pi^3 / \Lambda_\chi^2)}\times…

Nuclear Theory · Physics 2013-05-30 Joan Soto , Jaume Tarrús