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Related papers: 3N Scattering in a Three-Dimensional Operator Form…

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In the neutron-deuteron scattering, four total cross sections are shown to form a complete set for the determination of the imaginary parts of the forward amplitudes because of the optical theorem. The amplitudes are decomposed into scalar…

Nuclear Theory · Physics 2009-11-06 S. Ishikawa , M. Tanifuji , Y. Iseri

We propose a novel approach to solve the three-nucleon (3N) Faddeev equation which avoids the complicated singularity pattern going with the moving logarithmic singularities of the standard approach. In this new approach the treatment of…

Nuclear Theory · Physics 2008-11-26 H. Witala , W. Gloeckle

An extensive study of three-nucleon force effects in the entire phase space of the nucleon-deuteron breakup process, for energies from above the deuteron breakup threshold up to 200 MeV, has been performed. 3N Faddeev equations have been…

Nuclear Theory · Physics 2009-11-07 J. Kuros-Zolnierczuk , H. Witala , J. Golak , H. Kamada , A. Nogga , R. Skibinski , W. Glockle

A three-dimensional approach based on momentum vectors as variables for solving the three nucleon Faddeev equation in first order is presented. The nucleon-deuteron break-up amplitude is evaluated in leading order in the NN T-matrix, which…

Nuclear Theory · Physics 2009-11-10 I. Fachuddin , Ch. Elster , W. Gloeckle

The neutron-deuteron (nd) scattering is solved in the Faddeev formalism, employing the energy-independent version of the quark-model baryon-baryon interaction fss2. The differential cross sections and the spin polarization of the elastic…

Nuclear Theory · Physics 2011-07-06 Kenji Fukukawa , Yoshikazu Fujiwara

An operator form of the 3N bound state is proposed. It consists of eight operators formed out of scalar products in relative momentum and spin vectors, which are applied on a pure 3N spin 1/2 state. Each of the operators is associated with…

Nuclear Theory · Physics 2012-04-23 I. Fachruddin , W. Gloeckle , Ch. Elster , A. Nogga

We solve the Faddeev-Yakubovsky equations for 3N and 4N bound states based on the most modern realistic nucleon-nucleon interactions. We include different realistic 3N forces. It is shown that all 3N force models can remove the underbinding…

Nuclear Theory · Physics 2009-11-06 A. Nogga , H. Kamada , W. Gloeckle

We present a practical method to solve Faddeev three-body equations at energies above three-body breakup threshold as integral equations in coordinate space. This is an extension of previously used method for bound states and scattering…

Nuclear Theory · Physics 2008-11-26 S. Ishikawa

We apply improved nucleon-nucleon potentials up to fifth order in chiral effective field theory, along with a new analysis of the theoretical truncation errors, to study nucleon-deuteron (Nd) scattering and selected low-energy observables…

We use the configuration-space Faddeev formalism to study scattering of three particles in the double continuum where all particles are free. All scattering processes, starting from and ending in both single and double continua, are…

Quantum Physics · Physics 2026-04-15 Romain Guérout

The long-range terms of the subleading chiral three-nucleon force [published in Phys.\,Rev.\,C77, 064004 (2008)] are specified to the case of three neutrons. From these $3n$-interactions an effective density-dependent neutron-neutron…

Nuclear Theory · Physics 2020-12-21 N. Kaiser

We propose a simplified approach to incorporate the long-range proton-proton (pp) Coulomb force in the three-nucleon (3N) scattering calculations, based on exact formulation presented in Eur. Phys. Journal A {\bf{41}}, 369 (2009) and…

Nuclear Theory · Physics 2023-10-06 H. Witała , J. Golak , R. Skibiński

Bound-state-like wave functions are used to determine the scattering matrix corresponding to low energy $N-d$ and $p-^3$He collisions. To this end, the coupled channel form of the integral relations derived from the Kohn variational…

Nuclear Theory · Physics 2015-05-30 A. Kievsky , M. Viviani , L. E. Marcucci

The approach of direct integration of the three-dimensional Faddeev equations with respect to the breakup T-matrix in momentum space for three bodies of different masses is presented. The Faddeev equations are written out explicitly without…

Quantum Physics · Physics 2025-02-03 Mikhail Egorov

Selected Nd breakup data over a wide energy range are compared to solutions of Faddeev equations based on modern high precision NN interactions alone and adding current three-nucleon force models. Unfortunately currently available data…

Nuclear Theory · Physics 2009-11-07 J. Kuros-Zolnierczuk , H. Witala , J. Golak , H. Kamada , A. Nogga , R. Skibinski , W. Glockle

The use of leading order effective field theory (EFT) to describe neutron-deuteron scattering leads to integral equations that have unusual behaviour: when only two-body interactions are included, the scattering amplitude does not approach…

Nuclear Theory · Physics 2007-05-23 B. Blankleider , J. Gegelia

We present integral equations for the scattering amplitudes of three scalar particles, using the Faddeev channel decomposition, which can be readily extended to any finite number of particles of any helicity. The solution of these…

High Energy Physics - Theory · Physics 2015-06-25 Marcus Alfred , Petero Kwizera , James V. Lindesay , H. Pierre Noyes

The electromagnetic potential consisting in the Coulomb plus the magnetic moment interactions between two nucleons is studied in nucleon-deuteron scattering. For states in which the relative N-d angular momentum L has low values the…

Nuclear Theory · Physics 2009-11-10 A. Kievsky , M. Viviani , L. E. Marcucci

The description of the three-nucleon system in terms of nucleon and $\Delta$ degrees of freedom is extended to allow for explicit pion production (absorption) from single dynamic $\Delta$ de-excitation (excitation) processes. This mechanism…

Nuclear Theory · Physics 2008-11-26 M. T. Peña , P. U. Sauer , A. Stadler , G. Kortemeyer

By means of a technique, which does not employ partial wave (PW) decompositions, the nucleon-deuteron break-up process is evaluated in the Faddeev scheme, where only the leading order term of the amplitude is considered. This technique is…

Nuclear Theory · Physics 2017-08-23 I. Fachruddin , Ch. Elster , W. Gloeckle