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Working with a symmetry-preserving treatment of a vector $\otimes$ vector contact interaction (SCI), a largely algebraic three-body Faddeev equation treatment of the nucleon bound state problem is introduced and used to deliver results for…

High Energy Physics - Phenomenology · Physics 2026-02-04 Xin-Yu Bai , Ya Lu , Zhao-Qian Yao , Craig D. Roberts , Sebastian M. Schmidt

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. In its simplest form the Faddeev equation…

Nuclear Theory · Physics 2009-11-10 H. Liu , Ch. Elster , W. Gloeckle

General formulas for calculating the several leading long-range interactions among three identical atoms where two atoms are in identical $S$ states and the other atom is in a $P$ state are obtained using perturbation theory for the…

Atomic Physics · Physics 2016-08-16 Pei-Gen Yan , Li-Yan Tang , Zong-Chao Yan , James F. Babb

The method of screening and renormalization is used to include the Coulomb interaction between the charged particles in the description of few-body nuclear reactions. Calculations are done in the framework of Faddeev-type equations in…

Nuclear Theory · Physics 2015-05-13 A. Deltuva

The neutron--$^9$Li interaction and the corresponding low-energy $^{10}$Li spectrum are decisive for the properties of $^{11}$Li described as a three-body system (n+n+$^{9}$Li). We compute structure and breakup properties of $^{11}$Li as…

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

Four-body Faddeev-Yakubovsky calculations for Lambda-Lambda-p-n do not produce a bound state for Lambda-Lambda hydrogen 4, although suitably defined three-body Faddeev calculations for Lambda-Lambda-d produce a 1+ bound state for…

Nuclear Theory · Physics 2009-11-07 A. Gal

We investigate two simple prescriptions to account for the Pauli principle in a three-body cluster model employing a new method based on an adiabatic hyperspherical expansion to solve the Faddeev equations in coordinate space. The resulting…

Nuclear Theory · Physics 2009-10-30 E. Garrido , D. V. Fedorov , A. S. Jensen

Three-body calculations of (d,p) and (p,d) reactions involving one-neutron halo nuclei 11Be and 15C are performed using the framework of Faddeev-type scattering equations. Important effects of the optical potential nonlocality are found…

Nuclear Theory · Physics 2011-08-23 A. Deltuva

Faddeev calculations of hypertriton ($_\Lambda^3$H) separation energy are performed, incorporating all next-to-next-to-leading-order $\Lambda$NN three-body forces (3BFs) in chiral effective field theory: $2\pi$-exchange, $1\pi$-exchange,…

Nuclear Theory · Physics 2023-11-21 M. Kohno , H. Kamada , K. Miyagawa

We use a three-body model to investigate breakup reactions of 11Li (n+n+9Li) on a light target. The interaction parameters are constrained by known properties of the two-body subsystems, the 11Li binding energy and fragmentation data. The…

Nuclear Theory · Physics 2009-10-31 E. Garrido , D. V. Fedorov , A. S. Jensen

Previous studies of $(d,p)$ reactions in three-body (proton, neutron, nuclear core) systems revealed a nontrivial effect of the core excitation: the transfer cross section cannot be factorized into the spectroscopic factor and the…

Nuclear Theory · Physics 2019-03-27 A. Deltuva

Macro properties of cold atomic gases are driven by few-body correlations, even if the gas has thousands of particles. Quantum systems composed of two and three particles with attractive zero\=/range pairwise interactions are considered for…

Quantum Gases · Physics 2014-11-12 F. F. Bellotti

Using separable potentials for $\bar{K}N-\pi\Sigma$ interaction, we investigated four-body kaonic nuclear systems such as $K^{-}ppn$ and $K^{-}K^{-}pp$, with the Faddeev AGS method in the momentum representation. The Faddeev calculations…

Nuclear Theory · Physics 2019-04-15 Sajjad Marri , Jafar Esmaili

Effective lambda-proton and lambda-neutron potentials, restored from theoretical scattering phases through Gel'fand-Levitan-Marchenko theory, are tested on a lambda hypertriton through three-body calculations. The lambda hypertriton is…

Nuclear Theory · Physics 2020-10-05 Emile Meoto , Mantile Lekala

The Coulomb interaction between the two protons is included in the calculation of proton-deuteron breakup and of three-body electromagnetic disintegration of ${}^3\mathrm{He}$. The hadron dynamics is based on the purely nucleonic…

Nuclear Theory · Physics 2014-11-18 A. Deltuva , A. C. Fonseca , P. U. Sauer

We address the formation of correlations in a general nonequilibrium situation. As an example we calculate the formation of light composite particles in a heavy ion collision. In particular we study the formation of deuterons via three-body…

Nuclear Theory · Physics 2017-08-23 M. Beyer , C. Kuhrts , G. Roepke , P. D. Danielewicz

We present a practical method to solve Faddeev three-body equations at energies above three-body breakup threshold as integral equations in coordinate space. This is an extension of previously used method for bound states and scattering…

Nuclear Theory · Physics 2008-11-26 S. Ishikawa

The $dp\to dp$ and $dd\to ^3He n$ reactions are considered in the energy range from few hundred MeV up to 1 GeV. The approach is based on the multiple-scattering theory, where the few-body collisions are presented through two-body ones. The…

Nuclear Theory · Physics 2011-08-31 Nadezhda Ladygina

Parity violating effects for low energy elastic neutron deuteron scattering are calculated for DDH and EFT-type of weak potentials in a Distorted Wave Born Approximation, using realistic hadronic strong interaction wave functions, obtained…

Nuclear Theory · Physics 2011-02-01 Young-Ho Song , Rimantas Lazauskas , Vladimir Gudkov

Deuteron correlation energy (DCE) of the valence proton-neutron subsystem is evaluated by utilizing a simple three-body model. We focus on the $^6$Li and $^{18}$F nuclei assuming the doubly-closed core and the valence proton and neutron.…

Nuclear Theory · Physics 2017-06-21 Tomohiro Oishi , Lorenzo Fortunato