English
Related papers

Related papers: Three Body Force in Peripheral $N\alpha$ Scatterin…

200 papers

Within the framework of potential scattering theory we derive an analytical two-potential formula for the on-shell partial wave scattering amplitude. This formula embodies a large number of possible applications, including long range…

Nuclear Theory · Physics 2009-08-26 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

In the phenomenological description of the nuclear interaction a crucial role is traditionally played by the exchange of a scalar I=0 meson, the sigma, of mass 500-600 MeV, which however is not seen clearly in the particle spectrum and…

Nuclear Theory · Physics 2009-11-11 John F. Donoghue

Elastic pion-pion and pion-nucleon scattering are reviewed in the context of chiral perturbation theory. Theoretical results from systematic low-energy expansions to O(p^6) for pion-pion and to O(p^3) for pion-nucleon scattering are…

High Energy Physics - Phenomenology · Physics 2009-10-30 Gerhard Ecker

The scattering amplitude of the pion-nucleon elastic scattering is calculated by the lowest-order approximation of the perturbative expansion with the non-perturbative term. The self-energy of nucleon is determined so as to give the…

Nuclear Theory · Physics 2022-04-22 Susumu Kinpara

We investigate the roles of chiral three-nucleon force (3NF) in nucleon-nucleus elastic scattering, using the standard framework based on the Brueckner-Hartree-Fock method for nuclear matter and the $g$-matrix folding model for the…

Nuclear Theory · Physics 2015-06-19 Masakazu Toyokawa , Kosho Minomo , Michio Kohno , Masanobu Yahiro

We undertake a simultaneous partial wave analysis to proton-proton and neutron-proton scattering data below pion production threshold up to LAB energies of 350MeV. We represent the interaction as a sum of delta-shells in configuration space…

Nuclear Theory · Physics 2013-08-14 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

We study the leading isospin-breaking contributions to the two-nucleon two-pion exchange potential due to explicit Delta degrees of freedom in chiral effective field theory. In particular, we find important contributions due to the delta…

Nuclear Theory · Physics 2009-07-29 E. Epelbaum , H. Krebs , Ulf-G. Meißner

We derive the long-range components of the nucleon-nucleon (NN) two-pion-exchange potential with an intermediate Roper resonance. Leading-order interactions in heavy-baryon chiral perturbation theory are considered. NN phase shifts with…

Nuclear Theory · Physics 2026-03-02 Yang Xiao , Li-Sheng Geng , U. van Kolck

We consider a new three-nucleon force generated by the exchange of one pion in the presence of a 2N correlation. The underlying irreducible diagram has been recently suggested by the authors as a possible candidate to explain the puzzle of…

Nuclear Theory · Physics 2009-11-06 L. Canton , W. Schadow

Using modern nucleon-nucleon interactions in the description of the $A=3,4$ nuclei, it is not possible to reproduce both the three- and four-nucleon binding energies simultaneously. This is one manifestation of the necessity of including a…

Nuclear Theory · Physics 2015-05-18 A. Kievsky

We consider the two-nucleon system at next-to-next-to-next-to-leading order (N^3LO) in chiral effective field theory. The two-nucleon potential at N^3LO consists of one-, two- and three-pion exchanges and a set of contact interactions with…

Nuclear Theory · Physics 2014-11-18 E. Epelbaum , W. Glöckle , Ulf-G. Meißner

We derive from the subleading contributions to the chiral three-nucleon force (long-range terms, published in Phys.\,Rev.\,C\,77, 064004 (2008)) a density-dependent two-nucleon interaction $V_\text{med}$ in isospin-symmetric, spin-saturated…

Nuclear Theory · Physics 2021-04-09 N. Kaiser , B. Singh

We review the role of two-photon exchange (TPE) in electron-hadron scattering, focusing in particular on hadronic frameworks suitable for describing the low and moderate Q^2 region relevant to most experimental studies. We discuss the…

Nuclear Theory · Physics 2015-05-28 J. Arrington , P. G. Blunden , W. Melnitchouk

By calculating the contribution of the $\pi-\pi$ three-body force to the three-nucleon binding energy in terms of the $\pi N$ amplitude using perturbation theory, we are able to determine the importance of the energy dependence and the…

Nuclear Theory · Physics 2009-10-28 T-Y Saito , I. R. Afnan

We calculate the contribution to the nuclear energy density functional which arises from iterated pion-photon exchange between nucleons. In heavy nuclei, this novel charge symmetry breaking interaction leads to an additional binding of each…

Nuclear Theory · Physics 2009-11-10 N. Kaiser

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

In the effective field theory formalism nuclear forces are organized as a low energy expansion. Usually the lowest order in this expansion corresponds to the non-perturbative iteration of the one-pion exchange potential and a few…

Nuclear Theory · Physics 2024-10-25 Manuel Pavon Valderrama

Within the framework of chiral effective field theory, perturbative calculation for $NN$ scattering is carried out in partial waves with orbital angular momentum $L \geqslant 1$. The primary goal is to identify the lowest angular momenta at…

Nuclear Theory · Physics 2019-02-26 Shaowei Wu , Bingwei Long

A unified description of NN and pi-N elastic scattering is presented in the framework of the one solitary boson exchange potential (OSBEP). This model already successfully applied to analyze NN scattering is now extended to describe pi-N…

Nuclear Theory · Physics 2008-11-26 L. Jaede