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The Faddeev equations for the atomic helium-trimer systems are solved numerically with high accuracy both for the most sophisticated realistic potentials available and for simple phenomenological potentials. An efficient numerical procedure…

Atomic Physics · Physics 2009-10-31 E. Nielsen , D. V. Fedorov , A. S. Jensen

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

The large values of the singlet and triplet scattering lengths locate the two-nucleon system close to the unitary limit, the limit in which these two values diverge. As a consequence, the system shows a continuous scale invariance which…

Nuclear Theory · Physics 2019-10-09 Mario Gattobigio , Alejandro Kievsky , Michele Viviani

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

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

We calculated, using seven realistic 4He-4He potentials in the literature, the Efimov spectra of the 4He trimer and tetramer and analyzed the universality of the systems. The three-(four-)body Schroedinger equations were solved fully…

Quantum Gases · Physics 2014-11-20 E. Hiyama , M. Kamimura

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

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

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 momentum-space structure of the Faddeev-Yakubovsky (FY)components of weakly-bound tetramers is investigated at the unitary limit using a renormalized zero-range two-body interaction. The results, obtained by considering a given trimer…

Soft Condensed Matter · Physics 2012-02-09 M. R. Hadizadeh , M. T. Yamashita , L. Tomio , A. Delfino , T. Frederico

A method is described for estimating effective scattering lengths via spectroscopy on a trapped pair of atoms. The method relies on the phenomena that the energy levels of two atoms in a harmonic trap are shifted by their collisional…

Quantum Physics · Physics 2009-11-11 S. Shresta , E. Tiesinga , C. J. Williams

Backward elastic $p ^3He$-scattering at incident proton kinetic energies $T_p>1$ GeV is investigated in the framework of the np-pair transfer mechanism and triangular diagram of one-pion exchange with a subprocess $pd\to ^3He\pi^0$ using a…

Nuclear Theory · Physics 2009-10-31 Yu. N. Uzikov

The projection method is used to demonstrate the existence of positron attachment to three doubly excited states of helium. The e^+He(2s^2 1Se), e^+He(3s^2 1Se), and the e^+He(2s2p 3Po) states have binding energies of 0.447eV, 0.256eV and…

Atomic Physics · Physics 2013-05-28 M. W. J. Bromley , J. Mitroy , K. Varga

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 some recent applications of the Faddeev--Yakubovsky equations in describing atomic bound and scattering problems. We consider the scattering of a charged particle $X$ by atomic hydrogen with special interest in $X=p,e^{\pm}$,…

Quantum Gases · Physics 2015-05-28 Jaume Carbonell , Arnoldas Deltuva , Rimantas Lazauskas

Subatomic systems are pivotal for understanding fundamental baryonic interactions, as they provide direct access to quark-level degrees of freedom. In particular, introducing a strange quark adds "strangeness" as a new dimension, offering a…

Polarization correlation coefficients have been measured atRIKEN for the \vec 3He(\vec d,p)4He reaction at intermediate energies. We propose a model for the (\vec d, p) reaction mechanism using the pd elastic scattering amplitude which is…

Nuclear Theory · Physics 2009-11-06 H. Kamada , W. Gloeckle , H. Witala , S. Gojuki

We analyze the data on cross sections and asymmetries for the $pd (dp) \to \eta ^3{\rm He}$ reaction close to threshold and look for bound states of the $\eta ^3 {\rm He}$ system. Rather than parameterizing the scattering matrix, as is…

Nuclear Theory · Physics 2017-01-18 Ju-Jun Xie , Wei-Hong Liang , Eulogio Oset , Pawel Moskal , Magdalena Skurzok , Colin Wilkin

In this work we investigate small clusters of bosons using the hyperspherical harmonic basis. We consider systems with $A=2,3,4,5,6$ particles interacting through a soft inter-particle potential. In order to make contact with a real system,…

Atomic and Molecular Clusters · Physics 2012-11-16 M. Gattobigio , A. Kievsky , M. Viviani

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