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A practical method to solve cut-off Coulomb problems of two-cluster systems in the momentum space is given. When a sharply cut-off Coulomb force with a cut-off radius $\rho$ is introduced at the level of constituent particles, two-cluster…

Nuclear Theory · Physics 2012-09-03 Yoshikazu Fujiwara , Kenji Fukukawa

We introduce the package SWANLOP to calculate scattering waves and corresponding observables for nucleon elastic collisions off spin-zero nuclei. The code is capable of handling local and nonlocal optical potentials superposed to long-range…

Nuclear Theory · Physics 2020-10-28 H. F. Arellano , G. Blanchon

We analyze pure Coulomb high-energy elastic scattering of charged particles (hadrons or nuclei), discarding their strong interactions. We distinguish three scattering modes, determined by the magnitude of the momentum transfer, in which…

High Energy Physics - Phenomenology · Physics 2025-03-14 M. L. Nekrasov

A modified version of the Faddeev three-body equation to accommodate the Coulomb interaction, which was used in the study of three-nucleon bound states, is applied to the proton-deuteron scattering problem at energies below the three-body…

Nuclear Theory · Physics 2009-11-07 S. Ishikawa

The scattering problem for two particles interacting via the Coulomb potential is examined for the case where the potential has a sharp cut-off at some distance. The problem is solved for two complimentary situations, firstly when the…

Nuclear Theory · Physics 2015-05-18 S L Yakovlev , M V Volkov , E Yarevsky , N Elander

Background: The study of np and pp scattering, central to understanding nuclear force, remains an optional topic in many undergraduate nuclear physics curriculum. Purpose: The main thrust of this paper is to study pp scattering using the…

Nuclear Theory · Physics 2024-05-02 Shikha Awasthi , Anil Khachi , O. S. K. S. Sastri

Two-body scattering is studied by solving the Lippmann-Schwinger equation in momentum space without angular-momentum decomposition for a local spin dependent short range interaction plus Coulomb. The screening and renormalization approach…

Nuclear Theory · Physics 2008-11-26 M. Rodriguez-Gallardo , A. Deltuva , E. Cravo , R. Crespo , A. C. Fonseca

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 present a fully perturbative calculation of the quartet-channel proton--deuteron scattering length up to next-to-next-to-leading order in pionless effective field theory. We use a framework that consistently extracts the Coulomb-modified…

Nuclear Theory · Physics 2014-10-03 Sebastian König , H. -W. Hammer

A brief overview is given of some recent advances in charged-composite particle scattering. On the theoretical side, I address the three-charged particle wave function asymptotics, the nonperturbative investigation of the long-range…

Nuclear Theory · Physics 2007-05-23 Erwin O. Alt

Two independent calculations of proton-deuteron elastic scattering observables including Coulomb repulsion between the two protons are compared in the proton lab energy region between 3 MeV and 65 MeV. The hadron dynamics is based on the…

Nuclear Theory · Physics 2009-11-11 A. Deltuva , A. C. Fonseca , A. Kievsky , S. Rosati , P. U. Sauer , M. Viviani

We present a simple new approach to the treatment of Coulomb-nuclear interference and form-factor effects in high-energy proton-proton scattering in the context of eikonal models for the scattering amplitude. We show that the corrections to…

High Energy Physics - Phenomenology · Physics 2020-10-29 Loyal Durand , Phuoc Ha

Proton and neutron densities from Skyrme-Hartree-Fock (SHF) calculations are used to generate non-local (g-folding) proton-nucleus optical potentials. They are formed by folding the densities with realistic nucleon-nucleon interactions. The…

Nuclear Theory · Physics 2011-03-28 S. Karataglidis , K. R. Henninger , W. R. Richter , K. Amos

Model-independent constraints for the neutron-triton and proton-Helium-3 scattering lengths are calculated with a leading-order interaction derived from an effective field theory without explicit pions. Using the singlet neutron-proton…

Nuclear Theory · Physics 2011-05-20 Johannes Kirscher

Scattering of charged particles is ubiquitous in nuclear physics. We calculate the proton-proton $s$-wave phase shift at low energy relevant to solar physics. The phase shift is calculated from the ratio of the regular and irregular…

Nuclear Theory · Physics 2025-08-12 Ratna Khadka , Gautam Rupak

The 3-dimensional wave function for a sharply cut-off Coulomb potential is analytically derived. The asymptotic form of the related scattering amplitude reveals a failure of the standard renormalization factor which is believed to be…

Nuclear Theory · Physics 2009-12-31 W. Glockle , J. Golak , R. Skibinski , H. Witala

This is the second article in a series where we succeed in enlarging the class of solvable problems in one and three dimensions. We do that by working in a complete square integrable basis that carries a tridiagonal matrix representation of…

Mathematical Physics · Physics 2015-05-18 A. D. Alhaidari

The scattering of two charged strongly interacting particles is described on the basis of the P-matrix approach. In the P matrix, it is proposed to isolate explicitly the background term corresponding to purely Coulomb interaction, whereby…

Nuclear Theory · Physics 2007-05-23 V. A. Babenko , N. M. Petrov

Nucleon transfer reactions in low-energy deuteron-deuteron scattering are described by solving exact four-particle equations in momentum space. The Coulomb interaction between the protons is included using the screening and renormalization…

Nuclear Theory · Physics 2011-08-23 A. Deltuva , A. C. Fonseca

We provide a detailed discussion of the low-energy proton-deuteron system in pionless effective field theory, considering both the spin-quartet and doublet S-wave channels. Extending and amending our previous work on the subject, we…

Nuclear Theory · Physics 2015-01-22 Sebastian König , Harald W. Grießhammer , H. -W. Hammer