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Related papers: Binding Energies and Scattering Observables in the…

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We present detailed calculations of bound and scattering states of dimers and trimers of He to produce highly accurate data and to test a non-relativistic three-body code currently in development for public distribution. For these systems,…

Computational Physics · Physics 2015-05-28 V. Roudnev , Michael Cavagnero

Four-body systems are studied using an effective field theory with two- and three-body contact interactions. A method to systematically address deep trimers (three-body bound states that are more tightly bound than four-body bound/resonant…

Nuclear Theory · Physics 2024-03-04 Xincheng Lin

We calculate the scattering lenths A(K-,3He) and A(K-,4He) using the multiple scattering approach and different parameters sets for the elementary a(Kbar,N). Within the zero-range approximation, we find for both systems loosely bound states…

Nuclear Theory · Physics 2007-05-23 L. A. Kondratyuk , V. Yu. Grishina , M. Buescher

The scattering of a weakly bound three-body system by a target is discussed. A transformed harmonic oscillator basis is used to provide an appropriate discrete and finite basis for treating the continuum part of the spectrum of the…

p-3H and n-3He scattering in the energy range above the n-3He but below the d-d thresholds is studied by solving the 4-nucleon problem with a realistic nucleon-nucleon interaction. Three different methods -- Alt, Grassberger and Sandhas,…

Nuclear Theory · Physics 2017-04-05 M. Viviani , A. Deltuva , R. Lazauskas , A. C. Fonseca , A. Kievsky , L. E. Marcucci

The two-body scattering length a for 4He atoms is much larger than their effective range r_s. As a consequence, low-energy few-body observables have universal characteristics that are independent of the interaction potential. Universality…

Condensed Matter · Physics 2009-11-07 Eric Braaten , H. -W. Hammer

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

Few-body systems with large scattering length a have universal properties that do not depend on the details of their interactions at short distances. The rate constant for three-body recombination of bosonic atoms of mass m into a shallow…

Other Condensed Matter · Physics 2008-11-26 H. -W. Hammer , Timo A. Lahde , L. Platter

We report on microscopic calculations for the 4He compound system in the framework of the resonating group model employing realistic nucleon-nucleon and three nucleon forces. The resulting scattering phase shifts are compared to those of a…

Nuclear Theory · Physics 2008-11-26 Hartmut M. Hofmann , Gerald M. Hale

The scattering lengths of eta-meson collisions with light nuclei d,t,3He, and 4He are calculated on the basis of few-body equations in coherent approximation. It is found that the eta-nucleus scattering length depends strongly on the number…

Nuclear Theory · Physics 2009-10-28 S. A. Rakityansky , S. A. Sofianos , V. B. Belyaev , W. Sandhas

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 present a mathematically rigorous method suitable for solving three-body bound state and scattering problems when the inter-particle interaction is of a hard-core nature. The proposed method is a variant of the Boundary Condition Model…

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

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

The characteristics of the four $^4$He atom cluster are investigated using the differential equations for Yakubovsky components. Binding energy, mean-square radius and density function are calculated for the ground state.The spatial…

Chemical Physics · Physics 2009-11-07 I. N. Filikhin , V. A. Roudnev , S. L. Yakovlev , B. Vlahovic

Elastic electron-3He scattering is studied in the relativistic impulse approximation. The amplitudes for the three-nucleon system - 3He - are obtained by solving the relativistic generalization of the Faddeev equation. The charge and…

Nuclear Theory · Physics 2019-05-01 Serge Bondarenko , Valery Burov , Sergey Yurev

For atoms with large scattering length, the dependence of the 3-body recombination rate on the collision energy is determined by the scattering length and the Efimov 3-body parameters and can be expressed in terms of universal functions of…

Other Condensed Matter · Physics 2008-12-18 Eric Braaten , Daekyoung Kang , Lucas Platter

We report on a consistent, microscopic calculation of the bound and scattering states in the 4He system employing modern realistic two-nucleon and three-nucleon potentials in the framework of the resonating group model (RGM). We present for…

Nuclear Theory · Physics 2007-05-23 Hartmut M. Hofmann , Gerald M. Hale

The use of scattering length of particle-target interaction due to real- valued potential to study the bound states of the particle-target system is well known in nuclear and atomic physics. In view of the current interest in using…

Nuclear Theory · Physics 2015-06-17 Q. Haider , Lon-chang Liu

Four-body equations in momentum space are solved for neutron-$\He$, proton-$\Hh$, and deuteron-deuteron scattering; all three reactions are coupled. The Coulomb interaction between the protons is included using the screening and…

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

Motivated by the needs of atomic tritium sources for neutrino mass experiments and Doppler-free two-photon 1S-2S spectroscopy in atomic deuterium and tritium, we present calculations of energy-dependent elastic scattering cross sections of…

Atomic Physics · Physics 2026-04-29 B. J. P. Jones , A. Negi , A. Semakin