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In this work we investigate 1+2 reactions within the framework of the hyperspherical adiabatic expansion method. To this aim two integral relations, derived from the Kohn variational principle, are used. A detailed derivation of these…

原子与分子团簇 · 物理学 2012-04-03 C. Romero-Redondo , E. Garrido , P. Barletta , A. Kievsky , M. Viviani

General expressions for the breakup cross sections in the lab frame for $1+2$ reactions are given in terms of the hyperspherical adiabatic basis. The three-body wave function is expanded in this basis and the corresponding hyperradial…

核理论 · 物理学 2015-06-22 E. Garrido , A. Kievsky , M. Viviani

The 4He3 system is studied using the adiabatic hyperspherical representation. We adopt the current state-of-the-art helium interaction potential including retardation and the nonadditive three-body term, to calculate all low-energy…

原子物理 · 物理学 2009-11-13 Hiroya Suno , B. D. Esry

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.…

核理论 · 物理学 2017-06-05 A. Deltuva , A. C. Fonseca

A widely accepted practice for treating deuteron breakup in $A(d,p)B$ reactions relies on solving a three-body $A+n+p$ Schr\"odinger equation with pairwise $A$-$n$, $A$-$p$ and $n$-$p$ interactions. However, it was shown in [Phys. Rev. C…

核理论 · 物理学 2019-06-26 M. J. Dinmore , N. K. Timofeyuk , J. S. Al-Khalili , R. C. Johnson

The heaviest particle-bound carbon isotope, $^{22}$C, is thought to have a Borromean three-body structure. We discuss and compare four-body, i.e. three-body projectile plus target, reaction model calculations of reaction cross sections for…

核理论 · 物理学 2015-06-18 Y. Kucuk , J. A. Tostevin

Deuteron-deuteron elastic scattering and transfer reactions in the energy regime above four-nucleon breakup threshold are described by solving exact four-particle equations for transition operators. Several realistic nuclear interaction…

核理论 · 物理学 2015-02-09 A. Deltuva , A. C. Fonseca

This paper investigates the possible use of the Hyperspherical Adiabatic basis in the description of scattering states of a three-body system. In particular, we analyze a 1+2 collision process below the three-body breakup. The convergence…

核理论 · 物理学 2009-03-24 P. Barletta , A. Kievsky

The helium trimer is studied using two- and three-body soft-core potentials. Realistic helium-helium potentials present an extremely strong short-range repulsion and support a single, very shallow, bound state. The description of systems…

原子与分子团簇 · 物理学 2015-03-17 A. Kievsky , E. Garrido , C. Romero-Redondo , P. Barletta

We present a new reaction model, which permits the description of reactions where both colliding nuclei present a low threshold to breakup. The method corresponds to a four-body extension of the Continuum Discretized Coupled Channel (CDCC)…

核理论 · 物理学 2017-06-28 Pierre Descouvemont

This work treats few-body systems consisting of neutrons interacting with a $^{4}{\mathrm{He}}$ nucleus. The adiabatic hyperspherical representation is utilized to solve the $N$-body Schr$\ddot{\mathrm{o}}$dinger equation for the three- and…

核理论 · 物理学 2025-11-25 Michael D. Higgins , Chris H. Greene

We discuss the quasi-adiabatic approximations to the three-body wavefunction in breakup processes, clarifying the assumptions underlying the model. This suggests alternative approximation schemes. Using different theoretical three-body…

核理论 · 物理学 2009-11-07 Mustafa Yilmaz , Bulent Gonul

We present an account of the current status of the theoretical treatment of inclusive $(d,p)$ reactions in the breakup-fusion formalism, pointing to some applications and making the connection with current experimental capabilities. Three…

A microscopic formalism for describing observed cross sections for deuteron breakup by three-nucleon nuclei was developed on the basis of the diffraction nuclear model. A general formula that describes the amplitude for the reaction…

核理论 · 物理学 2016-07-04 Valery Kovalchuk

Scattering and ionizing cross sections and rates are calculated for ultracold collisions between metastable helium atoms using a fully quantum-mechanical close-coupled formalism. Homonuclear collisions of the bosonic ${}^{4}$He$^{*}…

原子物理 · 物理学 2019-07-03 D. G. Cocks , I. B. Whittingham , G. Peach

In this work we investigate small clusters of helium atoms using the hyperspherical harmonic basis. We consider systems with $A=2,3,4,5,6$ atoms with an inter-particle potential which does not present a strong repulsion at short distances.…

原子与分子团簇 · 物理学 2011-12-02 M. Gattobigio , A. Kievsky , M. Viviani

The strong short-range repulsion, characteristic to realistic interatomic potentials, complicates the description of weakly-bound few-body systems such as those of \He atoms. The present work proposes an approach for solving this problem…

原子物理 · 物理学 2022-04-27 A. Deltuva

We extend our previous calculation of the breakup of 11Be using Halo Effective Field Theory and the Dynamical Eikonal Approximation to include an effective 10Be-n-target force. The force is constructed to account for the virtual excitation…

核理论 · 物理学 2021-12-28 P. Capel , D. R. Phillips , H. -W. Hammer

We propose a novel extension of the standard coupled-channels framework for heavy-ion reactions in order to analyze fusion reactions at deep subbarrier incident energies. This extension simulates a smooth transition between the diabatic…

核理论 · 物理学 2015-05-14 Takatoshi Ichikawa , Kouichi Hagino , Akira Iwamoto

We investigate universal behavior in the recombination rate of three bosons close to threshold. Using the He-He system as a reference, we solve the three-body Schr\"odinger equation above the dimer threshold for different potentials having…

原子物理 · 物理学 2013-09-17 E. Garrido , M. Gattobigio , A. Kievsky
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