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This work presents three-body calculations of the cross sections for the $^3$He+T $\to$ n+p+$^4$He fusion reaction. These calculations were performed by solving a set of six coupled Faddeev integral equations, utilizing a cluster…

Nuclear Theory · Physics 2025-12-19 M. V. Egorov

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

In this lecture we aim to present a formalism based on Faddeev-like equations for describing nuclear three-cluster reactions that include elastic, transfer and breakup channels. Two different techniques based on momentum-space and…

Nuclear Theory · Physics 2012-01-25 A. Deltuva , A. C. Fonseca , R. Lazauskas

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

Fusion cross sections of light nuclei are calculated by a complex potential and taking into account of conservation of angular momentum and parity. The nuclear potential is assumed to be as simple as a spherical complex square well with a…

Nuclear Theory · Physics 2018-10-16 T. Koohrokhi , A. M. Izadpanah , S. K. Hosseini

Fusion reactions induced by the weakly bound nucleus $^{6}$Li with targets $^{28}$Si, $^{64}$Ni, $^{144}$Sm and $^{209}$Bi at energies around the Coulomb barrier are investigated within a three-body model where $^{6}$Li is described with an…

Nuclear Theory · Physics 2023-06-27 Wendi Chen , D. Y. Pang , Hairui Guo , Ye Tao , Weili Sun , Yangjun Ying

Fusion reactions of neutron-halo nuclei are investigated theoretically with a three-body model. The time-dependent wave-packet method is used to solve the three-body Schrodinger equation. The halo neutron behaves as a spectator during the…

Nuclear Theory · Physics 2010-04-05 Makoto Ito , Kazuhiro Yabana , Takashi Nakatsukasa , Manabu Ueda

A three-body semiclassical model is proposed to describe the nucleon transfer and emission reactions in a heavy-ion collision. In this model the two heavy particles, i.e. nuclear cores A$_1(Z_{A_1}, M_{A_1})$ and A$_2(Z_{A_2}, M_{A_2})$,…

Nuclear Theory · Physics 2015-06-16 Renat A. Sultanov , D. Guster

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

Various electromagnetic few-body break-up reactions into the many-body continuum are calculated microscopically with the Lorentz integral transform (LIT) method. For three- and four-body nuclei the nuclear Hamiltonian includes two- and…

Nuclear Theory · Physics 2008-11-26 W. Leidemann

We apply the ab initio no-core shell model/resonating group method approach to calculate the cross sections of the 3H(d,n)4He and 3He(d,p)4He fusion reactions. These are important reactions for the Big Bang nucleosynthesis and the future of…

Nuclear Theory · Physics 2013-05-30 Petr Navratil , Sofia Quaglioni

The core excitation, being an important reaction mechanism, so far is not properly included in most calculations of three-body nuclear reactions. We aim to include the excitation of the core nucleus using an exact Faddeev-type framework for…

Nuclear Theory · Physics 2017-06-05 A. Deltuva

Nucleon transfer reactions in deuteron-deuteron collisions at energies above the three- and four-body breakup threshold are described using exact four-body equations for transition operators that are solved in the momentum-space framework.…

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

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 investigate dissociation reactions of loosely bound and spatially extended three-body systems. We formulate a practical method for simultaneous treatment of long-range Coulomb and short-range nuclear interactions. We use $^6$He…

Nuclear Theory · Physics 2009-11-06 E. Garrido , D. V. Fedorov , A. S. Jensen

Within a few-body formalism, we develop a general theory of surrogate nuclear and atomic reactions with the excitation of a resonance in the intermediate binary subsystem leading to three charged particles in the final state. The Coulomb…

Nuclear Theory · Physics 2019-05-01 A. M. Mukhamedzhanov , A. S. Kadyrov

Exact Faddeev-type three-body equations are applied to the study of the proton transfer reactions $(d,n)$ in the system consisting of a nuclear core and two nucleons. The integral equations for the three-body transition operators are solved…

Nuclear Theory · Physics 2017-06-05 A. Deltuva

We develop a three body classical trajectory Monte Carlo (CTMC) method to dicsuss the effect of the breakup process on heavy-ion fusion reactions induced by weakly bound nuclei. This method follows the classical trajectories of breakup…

Nuclear Theory · Physics 2009-11-10 K. Hagino , M. Dasgupta , D. J. Hinde

A novel approach is developed to find the three-body breakup amplitudes and cross sections within the modified Faddeev equation framework. The method is based on the lattice-like discretization of the three-body continuum with a three-body…

Nuclear Theory · Physics 2015-03-20 O. A. Rubtsova , V. N. Pomerantsev , V. I. Kukulin , Amand Faessler

All possible dissociation cross sections for the loosely bound three-body halo nuclei $^6$He (n+n+$\alpha$) and $^{11}$Li (n+n+$^{9}$Li) are computed as functions of target and beam energy. Both Coulomb and nuclear interactions are included…

Nuclear Theory · Physics 2009-11-06 E. Garrido , D. V. Fedorov , A. S. Jensen
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