Solution of the Bethe-Salpeter equation for pion-nucleon scattering

AD Lahiff, IR Afnan - Physical Review C, 1999 - APS
A relativistic description of pion-nucleon scattering based on the four-dimensional Bethe-
Salpeter equation is presented. The kernel of the equation consists of s-and u-channel …

Solution of the Spectator Equation for Relativistic NN Scattering Without Partial Wave Expansion

G Ramalho, A Arriaga, MT Pena - Few-Body Systems, 2006 - Springer
We developed a numerical method, based on the Padé summation, to solve the covariant
spectator equation without partial wave decomposition, and applied it to the NN system. We …

Relativistic quasipotential equations with u-channel exchange interactions

V Pascalutsa, JA Tjon - Physical Review C, 1999 - APS
Various quasipotential two-body scattering equations are studied at the one-loop level for
the case of both t-and u-channel exchange potentials. We find that the quasipotential …

Removal of singularities from the covariant spectator theory

F Gross - Physical Review D, 2021 - APS
A modification of the one boson exchange (OBE) kernel for the covariant spectator theory
(CST) is presented and discussed. When applied to the scattering of two identical particles …

Relativistic effects and quasipotential equations

G Ramalho, A Arriaga, MT Pena - Physical Review C, 2002 - APS
We compare the scattering amplitude resulting from the several quasipotential equations for
scalar particles. We consider the Blankenbecler-Sugar, spectator, Thompson, Erkelenz …

Two-pion exchange contribution to proton-proton scattering at medium energies

WR Gibbs, B Loiseau - Physical Review C—Nuclear Physics, 2008 - APS
The contribution of the box and crossed two-pion-exchange diagrams to proton-proton
scattering at 90 cm○ is calculated in the laboratory momentum range up to 12 GeV/c …

Relativistic NN scattering without partial wave decomposition

G Ramalho, A Arriaga, MT Pena - arXiv preprint nucl-th/0403010, 2004 - arxiv.org
We consider the covariant Spectator equation with a One Boson Exchange (OBE) kernel,
and apply it to the NN system. Relativistic effects such as retardation and negative-energy …

Low-energy constants and relativity in peripheral nucleon-nucleon scattering

R Higa - arXiv preprint nucl-th/0411046, 2004 - arxiv.org
In our recent works we derived a chiral $ O (q^ 4) $ two-pion exchange nucleon-nucleon
potential (TPEP) formulated in a relativistic baryon (RB) framework, expressed in terms of …

Two-Pion Exchange in proton-proton Scattering

WR Gibbs, B Loiseau - arXiv preprint nucl-th/0108038, 2001 - arxiv.org
We present calculations of the two-pion-exchange contribution to proton-proton scattering at
90 degrees using form factors appropriate for representing the distribution of the constituent …