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We extend the ab initio no-core shell model/resonating-group method to include three-nucleon (3N) interactions for the description of nucleon-nucleus collisions. We outline the formalism, give algebraic expressions for the 3N-force…

Background: Theoretical calculations have shown that the energy and angular correlations in the three-body decay of the two-neutron unbound O26 can provide information on the ground-state wave function, which has been predicted to have a…

In this work, we analyze the noncommutative three-dimensional Coulomb potential problem. For this purpose, we used the Kustaanheimo-Stiefel mapping to write the Schr\"odinger equation for Coulomb potential in a solvable way. Then, the…

High Energy Physics - Theory · Physics 2023-10-23 Beatriz Wang , Emanuel Brenag , Ronni Amorim , Vinicius Rispoli , Sergio Ulhoa

A simplified 1D (one-dimensional) model for a generalized 3N system is considered, as a testing ground for the explicit treatment of the meson dynamics in this system. We focus attention on the irreducible diagrams generated by the pion…

Nuclear Theory · Physics 2009-11-07 L. Canton , T. Melde , J. P. Svenne

We report on a microscopic calculation of n-3H and p-3He scattering employing the Argonne v_{18} and v_8' nucleon-nucleon potentials with and without additional three-nucleon force. An R-matrix analysis of the p-3He and n-3H scattering data…

Nuclear Theory · Physics 2009-11-06 B. Pfitzinger , H. M. Hofmann , G. M. Hale

A spin-isospin dependent three-dimensional approach has been applied for formulation of the three-nucleon bound state and a new expression for Faddeev equation based on three-nucleon free basis state has been obtained. Then the…

Nuclear Theory · Physics 2011-06-28 M. Harzchi , S. Bayegan

We present new, ab initio calculations of the electronic structure of one-dimensional infinite chains and three-dimensional condensed matter in strong magnetic fields ranging from B=10^12 G to 2x10^15 G, appropriate for observed magnetic…

Astrophysics · Physics 2007-05-23 Zach Medin , Dong Lai

We present a simple quantum mechanical model exploiting the optical potential approach for the description of collision damping in the reaction pi 3He -> d'N near the threshold, which recently has been measured at TRIUMF. The influence of…

Nuclear Theory · Physics 2009-11-07 A. V. Nefediev , M. G. Schepkin , H. A. Clement

NN and Pi-N partial wave radial potentials have been generated using the latest SM94-VPI(NN) and FA93-VPI(Pi-N) phase shifts. The potentials are used to determine the deuteron properties and to compute the 3H and 3He binding energies. The…

Nuclear Theory · Physics 2008-02-03 M. Sander , C. Beck , B. C. Schroeder , H. -B. Pyo , H. Becker , J. Burrows , H. V. von Geramb , Y. Wu , S. Ishikawa

We report the first measurement of the \eep three-body breakup reaction cross sections in helium-3 ($^3$He) and tritium ($^3$H) at large momentum transfer ($\langle Q^2 \rangle \approx 1.9$ (GeV/c)$^2$) and $x_B>1$ kinematics, where the…

Nuclear Experiment · Physics 2020-06-19 R. Cruz-Torres , D. Nguyen , F. Hauenstein , A. Schmidt , S. Li , D. Abrams , H. Albataineh , S. Alsalmi , D. Androic , K. Aniol , W. Armstrong , J. Arrington , H. Atac , T. Averett , C. Ayerbe Gayoso , X. Bai , J. Bane , S. Barcus , A. Beck , V. Bellini , F. Benmokhtar , H. Bhatt , D. Bhetuwal , D. Biswas , D. Blyth , W. Boeglin , D. Bulumulla , A. Camsonne , J. Castellanos , J-P. Chen , E. O. Cohen , S. Covrig , K. Craycraft , B. Dongwi , M. Duer , B. Duran , D. Dutta , E. Fuchey , C. Gal , T. N. Gautam , S. Gilad , K. Gnanvo , T. Gogami , J. Golak , J. Gomez , C. Gu , A. Habarakada T. Hague , O. Hansen , M. Hattawy , O. Hen , D. W. Higinbotham , E. Hughes , C. Hyde , H. Ibrahim , S. Jian , S. Joosten , H. Kamada , A. Karki , B. Karki , A. T. Katramatou , C. Keppel , M. Khachatryan , V. Khachatryan , A. Khanal , D. King , P. King , I. Korover , T. Kutz , N. Lashley-Colthirst , G. Laskaris , W. Li , H. Liu , N. Liyanage , P. Markowitz , R. E. McClellan , D. Meekins , S. Mey-Tal Beck Z-E. Meziani , R. Michaels , M. Mihovilovic , V. Nelyubin , N. Nuruzzaman , M. Nycz , R. Obrecht , M. Olson , L. Ou , V. Owen , B. Pandey , V. Pandey , A. Papadopoulou , S. Park , M. Patsyuk , S. Paul , G. G. Petratos , E. Piasetzky , R. Pomatsalyuk , S. Premathilake , A. J. R. Puckett , V. Punjabi , R. Ransome , M. N. H. Rashad , P. E. Reimer , S. Riordan , J. Roche , M. Sargsian , N. Santiesteban , B. Sawatzky , E. P. Segarra , B. Schmookler , A. Shahinyan , S. Sirca , R. Skibinski , N. Sparveris , T. Su , R. Suleiman , H. Szumila-Vance , A. S. Tadepalli , L. Tang , W. Tireman , K. Topolnicki , F. Tortorici , G. Urciuoli , L. B. Weinstein , H. Witala , B. Wojtsekhowski , S. Wood , Z. H. Ye , Z. Y. Ye , J. Zhang

Proton-deuteron radiative capture and two- and three-body photodisintegration of 3He at low energy are described using realistic hadronic dynamics and including the Coulomb force. The sensitivity of the observables to the relativistic…

Nuclear Theory · Physics 2010-03-17 A. Deltuva , A. C. Fonseca , P. U. Sauer

We study pion absorption on 3He employing trinucleon wave functions calculated from modern realistic NN interactions (Paris, CD Bonn). Even though the use of the new wave functions leads to a significant improvement over older calculations…

Nuclear Theory · Physics 2009-11-07 S. Schneider , J. Haidenbauer , C. Hanhart , J. A. Niskanen

In this work, trions in two-dimensional (2D) space are studied by variational method with trial wavefunctions being constructed by linear combinations of 2D slater-type orbitals (STOs). Via this method, trion energy levels and wavefunctions…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 Yao-Wen Chang , Yia-Chung Chang

Variational calculations of ground-state properties of $^4$He, $^{16}$O, and $^{40}$Ca are carried out employing realistic phenomenological two- and three-nucleon potentials. The trial wave function includes two- and three-body correlations…

Nuclear Theory · Physics 2017-09-04 D. Lonardoni , A. Lovato , Steven C. Pieper , R. B. Wiringa

We demonstrate that the partial wave decomposition of three-nucleon forces used up to now in momentum space has to be necessarily unstable at high partial waves. This does not affect the applications performed up to now, which were…

Nuclear Theory · Physics 2016-08-15 D. Hüber , H. Witała , A. Nogga , W. Glöckle , H. Kamada

Three-nucleon scattering equations with irreducible three-nucleon force are solved in momentum-space. The Coulomb interaction between the two protons is included using the method of screening and renormalization. The need for the…

Nuclear Theory · Physics 2010-05-07 A. Deltuva

{\bf Background:} Deuteron induced reactions are widely used to probe nuclear structure and astrophysical information. Those (d,p) reactions may be viewed as three-body reactions and described with Faddeev techniques. {\bf Purpose:} Faddeev…

Nuclear Theory · Physics 2018-01-03 L. Hlophe , Jin Lei , Ch. Elster , A. Nogga , F. M. Nunes

Euler angles determining rotations of a system as a whole are conveniently separated in three-particle basis functions. Analytic integration of matrix elements over Euler angles is done in a general form. Results for the Euler angle…

Nuclear Theory · Physics 2009-11-07 V. D. Efros

We propose a closed-form (i.e. without expansion in the orbital eccentricities) scheme for computations in perturbation theory in the restricted three-body problem (R3BP) when the massless particle is in an orbit exterior to the one of the…

Mathematical Physics · Physics 2023-07-26 Mattia Rossi , Christos Efthymiopoulos

A modified version of the Faddeev three-body equation to accommodate the Coulomb interaction, which was used in the study of three-nucleon bound states, is applied to the proton-deuteron scattering problem at energies below the three-body…

Nuclear Theory · Physics 2009-11-07 S. Ishikawa