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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 discuss effective field theory treatments of the problem of three particles interacting via short-range forces (range R >> a_2, with a_2 the two-body scattering length). We show that forming a once-subtracted scattering equation yields a…

Other Condensed Matter · Physics 2009-04-17 L. Platter , D. R. Phillips

We derive a generalized Low equation for the T-matrix appropriate for complex atom-molecule interaction. The properties of this new equation at very low energies are studied and the complex scattering length and effective range are derived.

Atomic Physics · Physics 2009-11-06 M. S. Hussein

The low-energy $J/\psi N$ scattering is of significant importance for various reasons. It is deeply interconnected with the hidden-charm $P_c$ pentaquark states, provides insights into the role of gluons in nucleon structures, and is…

High Energy Physics - Phenomenology · Physics 2025-03-04 Bing Wu , Xiang-Kun Dong , Meng-Lin Du , Feng-Kun Guo , Bing-Song Zou

For calculation of the single-channel nucleon-nucleon scattering a phase-functions method has been proposed. Using a phase-functions method the following phase shifts of np- scattering numerically for 1S0-, 1P1-, 3P0-, 3P1-, 1D2-, 3D2-,…

Nuclear Theory · Physics 2017-06-26 V. I. Zhaba

A new method of reaction analysis for proton elastic scattering is proposed, combining systematic analyses of nuclear structure and reactions in a series of isotopes. This method is applied to $^{204}$Pb$(p,p)$, $^{206}$Pb$(p,p)$, and…

Nuclear Theory · Physics 2021-06-02 Yoshiko Kanada-En'yo

A study of the $\eta$-3N interaction in the energy region near the $\eta$-^3H elastic scattering threshold is presented. The calculational scheme is based on the four-body scattering formalism. A manageable form of the integral equations is…

Nuclear Theory · Physics 2017-08-23 A. Fix , H. Arenhoevel

We have performed high-precision measurements of the coherent neutron scattering lengths of gas phase molecular hydrogen and deuterium using neutron interferometry. After correcting for molecular binding and multiple scattering from the…

Nuclear Experiment · Physics 2009-11-10 K. Schoen , D. L. Jacobson , M. Arif , P. R. Huffman , T. C. Black , W. M. Snow , S. K. Lamoreaux , H. Kaiser , S. A. Werner

The relativistic properties of the three-nucleon system are investigated using the Faddeev equations within the Bethe-Salpeter approach. The nucleon-nucleon interaction is chosen in a separable form. The Gauss quadrature method is used to…

Nuclear Theory · Physics 2016-03-23 S. G. Bondarenko , V. V. Burov , S. A. Yurev

We present a mathematically rigorous method for solving three-atomic bound state and scattering problems. The method is well suited for applications in systems where the inter-atomic interaction is of a hard-core nature. It has been…

Chemical Physics · Physics 2008-02-03 A. K. Motovilov , S. A. Sofianos , E. A. Kolganova

Bound and scattering states of a non-central extension of the three-dimensional Kepler-Coulomb Hamiltonian are worked out analytically within the framework of the potential groups of the problem, SO(7) for bound states and SO(6,1) for…

Mathematical Physics · Physics 2015-05-18 Gul-Mirza Kerimov , Alberto Ventura

We present a method for treatment of three charged particles. The proposed method has universal character and is applicable both for bound and continuum states. A finite rank approximation is used for Coulomb potential in three-body system…

Nuclear Theory · Physics 2010-12-16 Vladimir B. Belyaev , Andrey A. Naumkin

We present results on the scattering lengths of ^4He--^4He_2 and ^3He--^4He_2 collisions. We also study the consequence of varying the coupling constant of the atom-atom interaction.

Atomic and Molecular Clusters · Physics 2007-05-23 Elena A. Kolganova , Alexander K. Motovilov , Werner Sandhas

We study the theory of scattering for a class of Hartree type equations with long range interactions in arbitrary space dimension n > or = 1, including the case of Hartree equations with time dependent potential V(t,x) = kappa t^(mu -…

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

We present a method to calculate neutron scattering cross sections for deformed nuclei using many--body wavefunctions described with multiple reference states. Nuclear states are calculated with the generator coordinate method using a low…

Nuclear Theory · Physics 2025-09-08 J. Boström , J. Rotureau , B. G. Carlsson , A. Idini

The $dp\to dp$ and $dd\to ^3He n$ reactions are considered in the energy range from few hundred MeV up to 1 GeV. The approach is based on the multiple-scattering theory, where the few-body collisions are presented through two-body ones. The…

Nuclear Theory · Physics 2011-08-31 Nadezhda Ladygina

Within the framework of the Glauber diffraction theory, the differential cross sections of the elastic p6He, p8Li, and p9Li scattering were calculated at intermediate energies from 70 to 1000 MeV/nucleon. The use of realistic three-body…

Nuclear Theory · Physics 2015-06-15 E. T. Ibraeva , A. V. Dzhazairov-Kahramanov , O. Imambekov

The complex Kohn variational principle and the (correlated) Hyperspherical Harmonics technique are applied to study the N--d scattering above the deuteron breakup threshold. The configuration with three outgoing nucleons is explicitly taken…

Nuclear Theory · Physics 2008-11-26 A. Kievsky , M. Viviani , S. Rosati

We study the energy critical wave equation in 3 dimensions around a single soliton. We obtain energy boundedness (modulo unstable modes) for the linearised problem. We use this to construct scattering solutions in a neighbourhood of…

Analysis of PDEs · Mathematics 2024-03-22 Istvan Kadar

Theoretical study of systematics of neutron scattering cross sections on various materials for neutron energies up to several hundred MeV are of practical importance. In this paper, we analysed various cross sections of neutron-nucleus…

Nuclear Theory · Physics 2007-05-23 S. V. Surya Narayan , Rajesh S. Gowda , S. Ganesan
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