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We study the zero-energy collision of three identical spin-polarized fermions with short-range interactions in one dimension. We derive the asymptotic expansions of the three-body wave function when the three fermions are far apart or one…

Quantum Gases · Physics 2023-07-12 Zipeng Wang , Shina Tan

We present a scattering model for nuclei with similar masses. In this three-body model, the projectile has a core+valence structure, whereas the target is identical to the core nucleus. The three-body wave functions must be symmetrized for…

Nuclear Theory · Physics 2021-03-31 J. Dohet-Eraly , P. Descouvemont

Coulomb breakup of a projectile in the Coulomb field of a fully stripped heavy nucleus is at present one of the most popular experimental methods to obtain information on reactions of interest in nuclear astrophysics. Its theoretical…

Nuclear Theory · Physics 2009-11-11 E. O. Alt , B. F. Irgaziev , A. M. Mukhamedzhanov

Background: Elastic scattering is probably the main event in the interactions of nucleons with nuclei. Even if this process has been extensively studied in the last years, a consistent description, i.e. starting from microscopic two- and…

Nuclear Theory · Physics 2016-03-30 M. Vorabbi , P. Finelli , C. Giusti

In this work, based on consideration of periodicity and asymptotic forms of wave function, we propose a novel approach to the solution of finite volume three-body problem by mapping a three-body problem into a higher dimensional two-body…

High Energy Physics - Lattice · Physics 2017-11-22 Peng Guo , Vladimir Gasparian

We present the first direct measurement of three-body interactions in a colloidal system comprised of three charged colloidal particles. Two of the particles have been confined by means of a scanned laser tweezers to a line-shaped optical…

Soft Condensed Matter · Physics 2008-01-28 J. Dobnikar , M. Brunner , H. H. von Grünberg , C. Bechinger

In this paper we present results from numerical calculations for three identical boson systems for both very large and infinite two-body s-wave scattering length $a$. We have considered scattering lengths up to $2\times 10^5$ a.u. and…

Other Condensed Matter · Physics 2009-11-11 J. P. D'Incao , B. D. Esry

We present a new method based on the scattering technique to investigate fluctuation-induced forces at a fluid interface. The scattering approach, well suited to the study of many body systems of arbitrary geometries, is augmented to…

Soft Condensed Matter · Physics 2013-06-27 E. Noruzifar , J. Wagner , R. Zandi

We extend the self-consistent Green's functions formalism to take into account three-body interactions. We analyze the perturbative expansion in terms of Feynman diagrams and define effective one- and two-body interactions, which allows for…

Nuclear Theory · Physics 2013-12-03 Arianna Carbone , Andrea Cipollone , Carlo Barbieri , Arnau Rios , Artur Polls

We present microscopic calculations of low energy scattering observables in all possible four nucleon systems : n-3H, p-3He and p-3H. Results were obtained by solving Faddeev-Yakubovski equations in configuration space, appropriately…

Nuclear Theory · Physics 2007-05-23 R. Lazauskas , J. Carbonell

We accurately analyze the $^6$He+$^{209}$Bi scattering at 19 and 22.5 MeV near the Coulomb barrier energy, using the continuum-discretized coupled-channels method (CDCC) based on the $n$+$n$+$^4$He+$^{209}$Bi four-body model. The three-body…

Nuclear Theory · Physics 2009-11-11 T. Matsumoto , T. Egami , K. Ogata , Y. Iseri , M. Kamimura , M. Yahiro

We present in detail a theoretical model for fragmentation reactions of three--body halo nuclei. The different reaction mechanisms corresponding to the different processes are described and discussed. Coulomb and nuclear interactions are…

Nuclear Theory · Physics 2009-11-07 E. Garrido , D. V. Fedorov , A. S. Jensen

We study the zero-energy collision of three fermions, two of which are in the spin-down ($\downarrow$) state and one of which is in the spin-up ($\uparrow$) state. Assuming that the two-body and the three-body interactions have a finite…

Quantum Gases · Physics 2025-03-17 Jiansen Zhang , Zipeng Wang , Shina Tan

We have constructed a perturbation theory to treat interactions that can include the Coulomb interaction, describing a physical problem that is often encountered in nuclear physics. The Coulomb part is not treated perturbatively; the exact…

Quantum Physics · Physics 2023-05-09 Scott E. Hoffmann

This work is devoted to the study of some exactly solvable quantum problems of four, five and six bodies moving on the line. We solve completely the corresponding stationary Schr\"odinger equation for these systems confined in an harmonic…

Mathematical Physics · Physics 2015-01-20 A. Bachkhaznadji , M. Lassaut

A recently proposed method based on dispersion theory, that allows to extract the scattering length of a hadronic two-body system from corresponding final-state interactions, is generalized to the situation where the Coulomb interaction is…

Nuclear Theory · Physics 2009-11-11 A. Gasparyan , J. Haidenbauer , C. Hanhart

The change in mass of a nucleon, arising from its interactions with other nucleons inside the target, results in velocity-dependent terms in the Schr\"odinger equation that describes nucleon scattering. It has recently been suggested in a…

Nuclear Theory · Physics 2019-05-22 N. K. Timofeyuk

Three-body charge transfer reactions with Coulomb interaction in the final state are considered in the framework of coordinate-space integro-differential Faddeev-Hahn-type equations within two- and six-state close coupling approximations.…

Atomic Physics · Physics 2009-10-31 Renat A. Sultanov , Sadhan K. Adhikari

Obtaining cross sections for nuclear reactions at intermediate energies based on the Glauber formulation has a long tradition. Only recently the energy regime of a few hundred MeV has become accessible to ab-initio Faddeev calculations of…

Nuclear Theory · Physics 2008-11-26 Ch. Elster , T. Lin , W. Gloeckle , S. Jeschonnek

The many-body Coulomb repulsive energy of strictly correlated electrons provides direct information of the exact Hohenberg-Kohn exchange-correlation functional in the strong interaction limit. Until now the treatment of strictly correlated…

Chemical Physics · Physics 2013-03-13 Christian B. Mendl , Lin Lin