English
Related papers

Related papers: Nucleon-nucleon interactions from dispersion relat…

200 papers

We develop a novel approach to chiral meson-baryon dynamics incorporating unitarity constraints and explicit resonance fields. It is based on the most general structure of any pion-nucleon partial wave amplitude neglecting the unphysical…

Nuclear Theory · Physics 2009-10-31 Ulf-G. Meißner , J. A. Oller

The leading-order nucleon-nucleon (NN) potential derived from chiral perturbation theory consists of one-pion exchange plus a short-distance contact interaction. We show that in the 1S0 and 3S1-3D1 channels renormalization of the…

Nuclear Theory · Physics 2008-11-26 C. -J. Yang , Ch. Elster , D. R. Phillips

The pion-mass-dependent nucleon-nucleon ($NN$) potentials in term of one-pion exchange and contact terms are obtained from the latest lattice QCD simulations of two-nucleon system, which employ the forms of leading order (LO) $NN$ potential…

Nuclear Theory · Physics 2020-08-26 Jinniu Hu , Ying Zhang , Hong Shen , Hiroshi Toki

The renormalization of iterated one-pion exchange (OPE) has been studied in Chiral Effective Field Theory ($\chi$EFT) for the antinucleon-nucleon ($\overline{N}\!N$) scattering in some partial waves (Phys. Rev. C 105, 054005 (2022)). We go…

Nuclear Theory · Physics 2023-02-13 Daren Zhou

Background: Effective interactions for nucleon-nucleus ($NA$) elastic scattering from first principles require the use of the same nucleon-nucleon ($NN$) interaction in the structure and reaction calculations, and a consistent treatment of…

Nuclear Theory · Physics 2022-12-28 R. B. Baker , B. McClung , Ch. Elster , P. Maris , S. P. Weppner , M. Burrows , G. Popa

The dibaryon concept for the nuclear force is presented, assuming that the main attraction between the nucleons at medium distances is determined by the $s$-channel exchange of an intermediate six-quark (dibaryon) state. To construct the…

Nuclear Theory · Physics 2022-12-13 V. I. Kukulin , V. N. Pomerantsev , O. A. Rubtsova , M. N. Platonova , I. T. Obukhovsky

A distorted-wave method is used to analyse nucleon-nucleon scattering in the 1S0 channel. Effects of one-pion exchange are removed from the empirical phase shift to all orders by using a modified effective-range expansion. Two-pion exchange…

Nuclear Theory · Physics 2010-11-08 Michael C. Birse

In this work we consider the renormalization of the chiral two-pion exchange potential with explicit delta-excitations for nucleon-nucleon scattering at next-to-leading (NLO) and next-to-next-to-leading order (N2LO). Due to the singular…

Nuclear Theory · Physics 2015-03-17 M. Pavon Valderrama , E. Ruiz Arriola

We employ the chiral nucleon-nucleon potential derived in ref.[1] to study bound and scattering states in the two-nucleon system. At next-to-leading order, this potential is the sum of renormalized one-pion and two-pion exchange and contact…

Nuclear Theory · Physics 2011-05-05 E. Epelbaum , W. Glöckle , Ulf-G. Meißner

We derive density-dependent corrections to the in-medium nucleon-nucleon interaction from the leading-order chiral three-nucleon force. To this order there are six distinct one-loop diagrams contributing to the in-medium nucleon-nucleon…

Nuclear Theory · Physics 2010-04-06 J. W. Holt , N. Kaiser , W. Weise

We present the two-pion exchange contributions to the nucleon-nucleon interaction up to next-to-next-to-next-to leading order (N$^3$LO) in covariant baryon chiral perturbation theory. Both one-loop and two-loop diagrams are calculated with…

Nuclear Theory · Physics 2025-11-25 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

The chiral nucleon-nucleon ($NN$) interaction at high cutoffs has been plagued by the presence of spurious bound states. In this work, the chiral $NN$ interaction at N$^3$LO is studied by the local projection method as the cutoff increases.…

Nuclear Theory · Physics 2024-01-31 Haoyu Shang , Rongzhe Hu , Junchen Pei , Furong Xu

We study the nonperturbative renormalization of the nucleon-nucleon (NN) interaction at next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) of chiral effective field theory. A systematic variation of the cutoff parameter is…

Nuclear Theory · Physics 2013-11-20 E. Marji , A. Canul , Q. MacPherson , R. Winzer , Ch. Zeoli , D. R. Entem , R. Machleidt

We develop a relativistic covariant and unitary description of the pion-nucleon interaction in a hadron-exchange model. The model is based on the solution of a dimensionally reduced (quasipotential) Bethe-Salpeter equation for the…

Nuclear Theory · Physics 2009-11-06 V. Pascalutsa , J. A. Tjon

We consider two-nucleon scattering close to threshold. Partial-wave amplitudes are obtained by an analytic extrapolation of subthreshold reaction amplitudes calculated in a relativistic formulation of chiral perturbation theory. The…

Nuclear Theory · Physics 2015-06-12 A. M. Gasparyan , M. F. M. Lutz , E. Epelbaum

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

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

In this letter we deduce an integral equation that allows to calculate the exact left-hand-cut discontinuity for an uncoupled $S$-wave partial-wave amplitude in potential scattering for a given finite-range potential. The results obtained…

Nuclear Theory · Physics 2017-10-11 D. R. Entem , J. A. Oller

Distorted-wave methods are used to remove the effects of one- and two-pion exchange up to order Q^3 from the empirical 1P1 phase shift. The one divergence that arises can be renormalised using an order-Q^2 counterterm which is provided by…

Nuclear Theory · Physics 2011-02-28 K. L. Ipson , K. Helmke , M. C. Birse