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The low-lying continuum spectrum of the $^6{\rm He}$ nucleus is investigated for the first time within an ab initio framework that encompasses the $^4{\rm He}$+$n$+$n$ three-cluster dynamics characterizing its lowest decay channel. This is…

Nuclear Theory · Physics 2014-07-23 Carolina Romero-Redondo , Sofia Quaglioni , Petr Navrátil , Guillaume Hupin

Nucleon-nucleon scattering in spin-triplet channels is analysed within an effective field theory where one-pion exchange is treated nonperturbatively. Justifying this requires the identification of an additional low-energy scale in the…

Nuclear Theory · Physics 2008-11-26 Michael C. Birse

In this paper we review the results of the author on the theory of scalar and vector wave scattering by small bodies of an arbitrary shape with the emphasis on practical applicability of the formulas obtained and on the mathematical rigor…

Mathematical Physics · Physics 2007-05-23 A. G. Ramm

Particle-dimer scattering below and above the three-body threshold is studied using Faddeev differential equations. Correllations between the observables are shown and some analogies between three-nucleon and three-atom systems are…

Atomic and Molecular Clusters · Physics 2015-06-18 E. A. Kolganova

We consider unstable-particle scattering in the context of 3-body processes. We show that all partial-wave cross-sections are finite and positive, and the total cross-section is proportional to the transverse size of space in the region of…

High Energy Physics - Phenomenology · Physics 2011-09-13 Antonio O. Bouzas

The scattering of a weakly bound (halo) projectile nucleus by a heavy target nucleus is investigated. A new approach, called the Uncorrelated Scattering Approximation, is proposed. The main approximation involved is to neglect the…

Nuclear Theory · Physics 2009-11-07 A. M. Moro , J. A. Caballero , J. Gómez-Camacho

We discuss effective field theory treatments of the problem of three particles interacting via short-range forces. One case of such a system is neutron-deuteron scattering at low energies. We demonstrate that in attractive channels the…

Nuclear Theory · Physics 2009-11-10 I. R. Afnan , Daniel R. Phillips

The exact treatment of nuclei starting from the constituent nucleons and the fundamental interactions among them has been a long-standing goal in nuclear physics. Above all nuclear scattering and reactions, which require the solution of the…

Nuclear Theory · Physics 2015-05-18 Sofia Quaglioni , Petr Navrátil , Robert Roth

The two-body Coulomb scattering problem is solved using the standard complex scaling method. The explicit enforcement of the scattering boundary condition is avoided. Splitting of the scattering wave function based on the Coulomb modified…

Atomic Physics · Physics 2015-06-03 I. Hornyak , A. T. Kruppa

The total and topological 4Hep cross sections as well as the cross sections of the separate 4Hep interaction channels and the differential cross sections of the elastic 4Hep scattering were measured using the 2m hydrogen bubble chamber…

Nuclear Experiment · Physics 2009-10-31 A. V. Blinov , M. V. Chadeyeva , V. E. Grechko , V. F. Turov

The formalism to describe electron scattering reactions on two-neutron halo nuclei is developed. The halo nucleus is described as a three-body system (core+n+n), and the wave function is obtained by solving the Faddeev equations in…

Nuclear Theory · Physics 2009-10-31 E. Garrido , E. Moya de Guerra

Three- and four-cluster breakup reactions in the ${}^{16}$C-proton scattering are studied using three-body core-neutron-neutron model for ${}^{16}$C. Single-scattering approximation (SSA) of four-particle equations for transition operators…

Nuclear Theory · Physics 2015-06-15 A. Deltuva

Total cross sections for neutron scattering from nuclei, with energies ranging from 10 to 600 MeV and from many nuclei spanning the mass range 6Li to 238U, have been analyzed using a simple, three-parameter, functional form. The calculated…

Nuclear Theory · Physics 2007-05-23 Pradip Deb , Ken Amos , Steven Karataglidis

Total reaction cross sections have been predicted for neucleons scattering from nuclei ranging in mass 6 to 238 and for projectile energies from just above noticeable giant resonance excitation to 300 MeV. So also have been the mass…

Nuclear Theory · Physics 2007-05-23 P. K. Deb , K. Amos

Fully non-linear, plane-symmetric exact solutions of the Einstein equations describing the scattering of gravitational and electromagnetic waves have existed for many years. For these closed-form solutions to be found, idealized wave…

General Relativity and Quantum Cosmology · Physics 2024-08-13 Breanna Camden , Chris Stevens , John Forbes

Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium. The case of transmission (interface) boundary…

Mathematical Physics · Physics 2012-09-03 A. G. Ramm

In evaluating differential cross section of elastic scattering, different theories were applied to low-momentum and relativistic particles. For low-momentum motion, Lippmann-Schwinger scattering equation was applied, called fundamental…

General Physics · Physics 2022-09-14 Huai-Yu Wang

The charge and magnetic form factors of light nuclei, mainly for mass numbers A<=4, provide a sensitive test of our understanding of nuclei. A number of "exact" calculations of the wave functions starting from the nucleon-nucleon…

Nuclear Experiment · Physics 2009-11-07 Ingo Sick

A new computational method for solving the configuration-space Faddeev equations for the breakup scattering problem has been applied to nd scattering both below and above the two-body threshold.

Nuclear Theory · Physics 2008-11-26 V. M. Suslov , M. A. Braun , I. Filikhin , B. Vlahovic

Faddeev equations for elastic Nd scattering have been solved using modern NN forces combined with the Tucson-Melbourne two-pion exchange three-nucleon force, with a modification thereof closer to chiral symmetry and the Urbana IX…

Nuclear Theory · Physics 2009-11-06 H. Witala , W. Gloeckle , J. Golak , A. Nogga , H. Kamada , R. Skibiński , J. Kuros-Zolnierczuk , .
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