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The problem of calculating the four--nucleon bound state properties for the case of realistic two- and three-body nuclear potentials is studied using the hyperspherical harmonic (HH) approach. A careful analysis of the convergence of…

Nuclear Theory · Physics 2009-11-10 M. Viviani , A. Kievsky , S. Rosati

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

We present a precise measurement of the cross section, proton and $\rm ^3He$ analyzing powers, and spin correlation coefficient $C_{y,y}$ for $p$-$\rm ^3He$ elastic scattering near 65 MeV, and a comparison with rigorous four-nucleon…

The two-body transfer amplitude for the rearrangement process i+(jkl) - j+(ikl) is constructed on the basis of technique of 4-dimensional covariant nonrelativistic graphs. The developed formalism is applied to describing backward elastic…

Nuclear Theory · Physics 2009-10-31 L. D. Blokhintsev , A. V. Lado , Yu. N. Uzikov

We use an effective field theory for short-range forces (SREFT) to analyze systems of three identical bosons interacting via a two-body potential that generates a scattering length, $a$, which is large compared to the range of the…

Nuclear Theory · Physics 2013-11-21 Chen Ji , Daniel R. Phillips

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

Scattering probes the internal structure of quantum systems. We calculate the two-particle elastic scattering phase shift for a short-ranged interaction on a quantum computer. Short-ranged interactions with a large scattering length or…

Nuclear Theory · Physics 2024-06-14 Muhammad Yusf , Ling Gan , Cameron Moffat , Gautam Rupak

Proton-${}^3$H elastic scattering and charge-exchange reaction ${}^3$H$(p,n){}^3$He in the energy regime above four-nucleon breakup threshold are described in the momentum-space transition operator framework. Fully converged results are…

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

Four light-mass nuclei are considered by an effective two-body clusterisation method; $^6$Li as $^2$H$+^4$He, $^7$Li as $^3$H$+^4$He, $^7$Be as $^3$He$+^4$He, and $^8$Be as $^4$He$+^4$He. The low-energy spectrum of each is determined from…

Nuclear Theory · Physics 2017-08-02 P. R. Fraser , K. Massen-Hane , A. S. Kadyrov , K. Amos , I. Bray , L. Canton

A mechanism of disappearance and formation of the Efimov levels of the helium ^4He_3 trimer is studied when the force of interatomic interaction is changed. The resonances including virtual levels are calculated by the method based on the…

Atomic and Molecular Clusters · Physics 2007-05-23 E. A. Kolganova , A. K. Motovilov

We discuss effective field theory treatments of the problem of three particles interacting via short-range forces. One case of such a system is neutron-deuteron scattering at low energies. We demonstrate that in attractive channels the…

Nuclear Theory · Physics 2009-11-10 I. R. Afnan , Daniel R. Phillips

Ultracold polar molecules in multilayered systems have been experimentally realized very recently. While experiments study these systems almost exclusively through their chemical reactivity, the outlook for creating and manipulating exotic…

Quantum Physics · Physics 2013-04-19 A. G. Volosniev , J. R. Armstrong , D. V. Fedorov , A. S. Jensen , N. T. Zinner

The Alt-Grassberger-Sandhas N-body theory is used to study interaction of eta-mesons with d, 3He, and 4He. Separable expansion of the subamplitudes is adopted to convert the integral equations into the quasi-two-body form. The resulting…

Nuclear Theory · Physics 2018-04-18 A. Fix , O. Kolesnikov

The numerical solutions of the non-relativistic Yukawa model on a 3-dimensional size lattice with periodic boundary conditions are obtained. The possibility to extract the corresponding -- infinite space -- low energy parameters and bound…

High Energy Physics - Lattice · Physics 2007-05-23 F. de Soto , J. Carbonell

We investigate the problem of two atoms interacting via a short range s-wave potential in the presence of a deep optical lattice of arbitrary dimension $D$. Using a tight binding approach, we derive analytical results for the properties of…

Other Condensed Matter · Physics 2009-11-11 M. Wouters , G. Orso

Scattering of charged particles is ubiquitous in nuclear physics. We calculate the proton-proton $s$-wave phase shift at low energy relevant to solar physics. The phase shift is calculated from the ratio of the regular and irregular…

Nuclear Theory · Physics 2025-08-12 Ratna Khadka , Gautam Rupak

Three-body recombination is a prime example of the fundamental interaction between three particles. Due to the complexity of this process it has resisted a comprehensive description. Experimental investigations have mainly focussed on the…

The interaction of an $\eta$-meson with two nucleons is studied within a three-body approach. The major features of the $\eta NN$-system in the low-energy region are accounted for by using a s-wave separable ansatz for the two-body $\eta…

Nuclear Theory · Physics 2011-07-19 A. Fix , H. Arenhoevel

Very low-energy scattering of orthopositronium by helium has been investigated for simultaneous study of elastic cross section and pick-off quenching rate using a model exchange potential. The present calculational scheme, while agrees with…

Atomic and Molecular Clusters · Physics 2009-10-31 Sadhan K. Adhikari , P. K. Biswas , R. A. Sultanov

In the book the mathematical methods of nuclear cross sections and phases of elastic scattering, energy and characteristics of bound states in two- and three-particle nuclear systems, when the potentials of interaction contain not only…

Nuclear Theory · Physics 2010-12-07 S. B. Dubovichenko