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The application of the hyperspherical harmonic approach to the case of the N-d scattering problem below deuteron breakup threshold is described. The nuclear Hamiltonian includes two- and three-nucleon interactions, in particular the Argonne…

Nuclear Theory · Physics 2009-11-06 L. E. Marcucci , A. Kievsky , L. Girlanda , S. Rosati , M. Viviani

The Kohn variational principle and the (correlated) Hyperspherical Harmonics technique are applied to study the n-3H and p-3He scattering at zero energy. Predictions for the singlet and triplet scattering lengths are obtained for…

Nuclear Theory · Physics 2009-10-31 M. Viviani , S. Rosati , A. Kievsky

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

In neutron-proton (n-p) scattering experiments, gas targets have been used to measure scattering length by detecting neutrons and recoil protons. Changes in electron dynamics within the gas target have a negligible effect on dynamics of…

Nuclear Theory · Physics 2023-12-05 Mingzhao Xing , Libin Fu

The three-nucleon bound and scattering equations are solved in momentum space for a coupled-channel Hamiltonian. The Hamiltonian couples the purely nucleonic sector of Hilbert space with a sector in which one nucleon is excited to a…

Nuclear Theory · Physics 2022-09-13 A. Deltuva , P. U. Sauer

Deuteron-${}^{3}\mathrm{He}$ reactions in the 15 to 40 MeV range are studied using a three-body model where the constructed nonlocal optical potentials rely on rigorous nucleon-${}^{3}\mathrm{He}$ scattering calculations. The differential…

Nuclear Theory · Physics 2024-12-18 A. Deltuva , D. Jurčiukonis

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

The Coulomb interaction between the protons is included in the description of proton-deuteron scattering using the screening and renormalization approach in the framework of momentum-space integral equations. Two new calculational schemes…

Nuclear Theory · Physics 2009-11-11 A. Deltuva , A. C. Fonseca , P. U. Sauer

The AGS equations are solved for $n{}^3\mathrm{H}$ and $p{}^3\mathrm{He}$ scattering including the Coulomb interaction. Comparison with previous work confirms the accuracy of the calculation and helps clarify a number of issues related to…

Nuclear Theory · Physics 2008-11-26 A. Deltuva , A. C. Fonseca

We extend our approach to incorporate the proton-proton (pp) Coulomb force into the three-nucleon (3N) momentum-space Faddeev calculations of elastic proton-deuteron (pd) scattering and breakup to the case when also a three-nucleon force…

Nuclear Theory · Physics 2015-05-20 H. Witala , R. Skibinski , J. Golak , W. Gloeckle

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

We present a very simple method for calculating the mixed Coulomb-nuclear effects in the $pp$ and $\bar{p}p$ scattering amplitudes, and illustrate the method using simple models frequently used to describe their differential cross sections…

High Energy Physics - Phenomenology · Physics 2024-01-15 Loyal Durand , Phuoc Ha

We report the first measurement of the low-energy neutron-$^3$He incoherent scattering length using neutron interferometry: $b_i' = (-2.512\pm 0.012{statistical}\pm0.014{systematic})$ fm. This is in good agreement with a recent calculation…

Nuclear Experiment · Physics 2009-06-30 M. G. Huber , M. Arif , T. C. Black , W. C. Chen , T. R. Gentile , D. S. Hussey , D. Pushin , F. E. Wietfeldt , L. Yang

Three-nucleon scattering equations with irreducible three-nucleon force are solved in momentum-space. The Coulomb interaction between the two protons is included using the method of screening and renormalization. The need for the…

Nuclear Theory · Physics 2010-05-07 A. Deltuva

We propose a practical folding model to describe $^{3}$He elastic scattering. In the model, $^{3}$He optical potentials are constructed by making the folding procedure twice. First the nucleon-target potential is evaluated by folding the…

Nuclear Theory · Physics 2015-10-08 Masakazu Toyokawa , Takuma Matsumoto , Kosho Minomo , Masanobu Yahiro

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

The $n+{}^3$H, $p+{}^3$He, $p+{}^3$H, and $n+{}^3$He elastic and charge exchange reactions at low energies are studied by means of the hyperspherical harmonic method. The considered nuclear Hamiltonians include modern two- and three-nucleon…

Nuclear Theory · Physics 2020-04-01 M. Viviani , L. Girlanda , A. Kievsky , L. E. Marcucci

We compare three methods to calculate the nucleon-nucleon t-matrix based on the three-dimensional formulation of J. Golak et al., Phys. Rev. C 81, 034006, (2010). In the first place we solve a system of complex linear inhomogeneous…

Nuclear Theory · Physics 2015-06-05 J. Golak , R. Skibinski , H. Witala , K. Topolnicki , W. Gloeckle , A. Nogga , H. Kamada

We study the theory of scattering for the system consisting of a Schr"odinger equation and a wave equation with a Yukawa type coupling,in space dimension 3.We prove in particular the existence of modified wave operators for that system with…

Analysis of PDEs · Mathematics 2007-05-23 J. Ginibre , G. Velo

In this paper, we consider the scattering problem for a class of $N$-coupled systems of the cubic nonlinear Schr\"odinger equations in three space dimensions. We prove the scattering of solutions that have a mass-energy quantity less than…

Analysis of PDEs · Mathematics 2023-03-23 Satoshi Masaki , Ryusei Tsukuda