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A method using an expansion of the four-body Yakubovsky wave function components onto the basis of the Faddeev-equation solutions for the two-cluster sub-Hamiltonian eigenfunctions is exploited for computations of low-energy scattering…

Nuclear Theory · Physics 2011-04-15 S. L. Yakovlev , I. N. Filikhin

Recently, a square-integrable discrete basis, obtained performing a simple analytical local scale transformation to the harmonic oscillator basis, has been proposed and successfully applied to study the properties of two-body systems. Here,…

Nuclear Theory · Physics 2016-04-26 J. Casal , M. Rodríguez-Gallardo , J. M. Arias

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

The energy spectrum, atom-dimer scattering length, and atom-trimer scattering length for systems of three and four ultracold atoms with $\delta$-function interactions in one dimension are presented as a function of the relative mass ratio…

Quantum Gases · Physics 2015-06-18 Nirav P. Mehta

Binding energies of ^{3}H, ^{4}He, and ^{16}O are calculated, using low-momentum nucleon-nucleon interactions (V_{low-k}) for a wide range of the cutoff momentum \Lambda. In addition, single-particle energies in nuclei around ^{16}O are…

Nuclear Theory · Physics 2017-08-23 S. Fujii , H. Kamada , R. Okamoto , K. Suzuki

The vector analyzing power has been measured for the elastic scattering of neutron-rich 6He from polarized protons at 71 MeV/nucleon making use of a newly constructed solid polarized proton target operated in a low magnetic field and at…

Elastic proton scattering on ${}^{3}{H}$ nucleus is studied inbetween p-% ${}^{3}{H}$ and n-${}^{3}{He}$ thresholds, in the energy region where $\alpha$-particles first excited state is inbeded in the continuum. For this aim…

Nuclear Theory · Physics 2009-06-30 Rimantas Lazauskas

Elastic electron-helium-3 scattering is studied in the relativistic impulse approximation. The amplitudes for the three-nucleon system are obtained by solving the relativistic generalization of the Faddeev equations with a separable…

Nuclear Theory · Physics 2020-10-30 Serge Bondarenko , Valery Burov , Sergey Yurev

Speed plot and time delay analysis confirms a two-pole S-matrix structure of the lowest 3/2+ level in 5He. Real parts of neutron-alpha elastic and 4He(n,d)3H reaction pole energies are 17.669+/-0.006 and 17.705+/-0.001 MeV n-4He c.m.,…

Nuclear Theory · Physics 2012-10-03 Bernard Hoop , Gerald M. Hale , Petr Navratil

Differential cross sections for $^3$He-$\alpha$ scattering were measured in the energy range up to 3 MeV. These data together with other available experimental results for $^3$He $+ \alpha$ and $^3$H $+ \alpha$ scattering were analyzed in…

Nuclear Theory · Physics 2008-11-26 P. Mohr , H. Abele , R. Zwiebel , G. Staudt , H. Krauss , H. Oberhummer , A. Denker , J. W. Hammer , G. Wolf

We present an analytic model to calculate the atomic scattering length near a Feshbach resonance from data on the molecular binding energy. Our approach considers finite-range square-well potentials and can be applied near broad, narrow, or…

Other Condensed Matter · Physics 2009-11-13 A. D. Lange , K. Pilch , A. Prantner , F. Ferlaino , B. Engeser , H. -C. Naegerl , R. Grimm , C. Chin

It is shown that owing to a dominance of $np-$pair transfer mechanism of backward elastic $p^3He$- scattering for incident proton kinetic energies $T_p>1$ GeV the cross section of this process is defined mainly by the values of the Faddeev…

Nuclear Theory · Physics 2008-11-26 Yu. N. Uzikov

We design models for helium in matrices like aerogel, Vycor or Geltech from a manifestly microscopic point of view. For that purpose, we calculate the dynamic structure function of 4He on Si substrates and between two Si walls as a function…

Condensed Matter · Physics 2009-11-10 V. Apaja , E. Krotscheck

We critically examine the current status of theoretical calculations of the energies, the fine structure, and the isotope shift of the lowest-lying states of helium, searching for unresolved discrepancies with experiments. Calculations are…

Atomic Physics · Physics 2017-06-28 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir Yerokhin

Faddeev equations in configuration space and integral form for three-atom scattering processes are formulated allowing for additive and nonadditive forces. The explicit partial wave decomposition is displayed. This formulation appears to be…

Atomic Physics · Physics 2007-05-23 W. Gloeckle , G. Rawitscher

Using multiple scattering theory the scattering lengths of $\eta$ mesons on helium nuclei are calculated and checked against final state $\eta$ interactions from the $pd \rightarrow \eta ^3$He and $dd \rightarrow \eta ^4$He reactions. The…

Nuclear Theory · Physics 2016-09-08 S. Wycech , A. M. Green , J. A. Niskanen

The three-nucleon system is studied at energies a few hundred keV above the N-d threshold. Measurements of the tensor analyzing powers $T_{20}$ and $T_{21}$ for p-d elastic scattering at $E_{c.m.}=432$ keV are presented together with the…

Nuclear Theory · Physics 2009-10-30 A. Kievsky , S. Rosati , M. Viviani , C. R. Brune , H. J. Karwowski , E. J. Ludwig , M. H. Wood

We study the $2e^-2e^+$ equal-mass charge-neutral four-body system in the adiabatic hyperspherical framework. The lowest few adiabatic potentials are calculated for zero orbital angular momentum, positive parity, and charge conjugation…

Atomic Physics · Physics 2015-06-23 K. M. Daily , Javier von Stecher , Chris H. Greene

We present a convergent variational basis-set calculational scheme for elastic scattering of positronium atom by hydrogen atom in S wave. Highly correlated trial functions with appropriate symmetry are needed for achieving convergence. We…

Atomic Physics · Physics 2009-11-07 Sadhan K. Adhikari , Puspajit Mandal

The Faddeev equation for three-body scattering at arbitrary energies is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. For identical bosons this results in a…

Nuclear Theory · Physics 2008-11-26 H. Liu , Ch. Elster , W. Gloeckle