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Related papers: Bound States and Scattering Processes in the ^4He_…

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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 perform Low Energy Ion Scattering with He ions ranging in energy from 1 keV to 3 keV on CaSiO$_3$ using a commercial electrostatic detector system and determine the charge fraction of scattered ions from comparison with Binary Collision…

The structure of A=3 low-energy scattering states is described using the hyperspherical harmonics method with realistic Hamiltonian models, consisting of two- and three-nucleon interactions. Both coordinate and momentum space two-nucleon…

Nuclear Theory · Physics 2009-01-16 L. E. Marcucci , L. Girlanda , A. Kievsky , S. Rosati , M. Viviani

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

Scattering states with LEED asymptotics are calculated for a general non-muffin tin potential, as e.g. for a pseudopotential with a suitable barrier and image potential part. The latter applies especially to the case of low lying conduction…

Materials Science · Physics 2009-10-30 S. Lorenz , C. Solterbeck , W. Schattke , J. Burmeister , W. Hackbusch

A harmonic oscillator model in four dimensions is presented for the helium atom to estimate the distance to the inner and outer electron from the nucleus, the angle between electrons and the energy levels. The method is algebraic and is not…

Quantum Physics · Physics 2015-12-02 Martin Carlsen

Using a formulation of quantum mechanics based on the theory of orthogonal polynomials, we introduce a four-parameter system associated with the Hahn and continuous Hahn polynomials. The continuum energy scattering states are written in…

Quantum Physics · Physics 2022-06-20 A D Alhaidari , Y. -T. Li

Energies of the low-lying bound S-states (L=0) of exotic three-body systems, consisting a nuclear core of charge +Ze (Z being atomic number of the core) and two negatively charged valence muons, have been calculated by hyperspherical…

Atomic Physics · Physics 2015-11-19 Md. Abdul Khan

Background: Theoretical calculations of the four-particle scattering above the four-cluster breakup threshold are technically very difficult due to nontrivial singularities or boundary conditions. Further complications arise when the…

Nuclear Theory · Physics 2017-06-05 A. Deltuva , A. C. Fonseca

An effective optimization strategy has been developed to construct highly accurate bound state wave functions in various three-body systems. Our procedure appears to be very effective for computations of weakly bound states and various…

Atomic Physics · Physics 2014-11-21 Alexei M. Frolov , David M. Wardlaw

Recently developed methods allowing to find the solutions of the Bethe-Salpeter equations in Minkowski space, both for the bound and scattering states, are reviewed. For the bound states, one obtains the bound state mass and the…

High Energy Physics - Phenomenology · Physics 2015-06-18 V. A. Karmanov

We present a quantum mechanical study of the diatomic hydrogen $H(^{2}S)$ and oxygen $O(^{3}P)$ collision and energy transfer for its four molecular symmetry $(X^{2}\Pi, ^{2}\Sigma^{-}, ^{4}\Pi, ^{4}\Sigma^{-})$, which is important for the…

Chemical Physics · Physics 2007-05-23 L. Wei , M. J. Jamieson , A. Dalgarno

Bosonic atom-trimer scattering is studied in the unitary limit using momentum-space equations for four-particle transition operators. The impact of the Efimov effect on the atom-trimer scattering observables is explored and a number of…

Atomic and Molecular Clusters · Physics 2011-01-17 A. Deltuva

Results gained for electron scattering on $^3$He in a nonrelativistic framework are reviewed. The electromagnetic current is truncated to a single nucleon operator, but the interaction among the three nucleons is treated exactly. Thus…

Nuclear Theory · Physics 2007-05-23 W. Gloeckle , H. Kamada , J. Golak , H. Witala , S. Ishikawa

Scattering and ionizing cross sections and rates are calculated for ultracold collisions between metastable helium atoms using a fully quantum-mechanical close-coupled formalism. Homonuclear collisions of the bosonic ${}^{4}$He$^{*}…

Atomic Physics · Physics 2019-07-03 D. G. Cocks , I. B. Whittingham , G. Peach

We report results for the ground-state energy and structural properties of small $^4$He-T$\downarrow$ clusters consisting of up to 4 T$\downarrow$ and 8 $^4$He atoms. These results have been obtained using very well-known $^4$He-$^4$He and…

Mesoscale and Nanoscale Physics · Physics 2016-08-14 P. Stipanović , L. Vranješ Markić , J. Boronat , B. Kežić

We investigate the relation between the \eta ^3He binding energy and width and the (complex) \eta ^3He scattering length. Following our systematic analysis of the eta 3He scattering length we set limits on the \eta ^3He binding. If bound…

Nuclear Theory · Physics 2009-11-10 A. Sibirtsev , J. Haidenbauer , J. A. Niskanen , Ulf-G. Meißner

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

Application of the absorbing boundary condition is discussed to analyse breakup reactions of weakly bound nuclei. The key ingredient is an introduction of the absorbing potential outside the physical area which simulates the outgoing…

Nuclear Theory · Physics 2008-11-26 Kazuhiro Yabana , Manabu Ueda , Takashi Nakatsukasa

We present a theoretical study of the processes d(d,p)3H and d(d,n)3He at energies of interest for energy production and for big-bang nucleosynthesis. We accurately solve the four body scattering problem using the ab-initio hyperspherical…

Nuclear Theory · Physics 2023-03-29 M. Viviani , L. Girlanda , A. Kievsky , D. Logoteta , L. E. Marcucci
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