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We calculate the renormalized effective 2-, 3-, and 4-body interactions for N neutral ultracold bosons in the ground state of an isotropic harmonic trap, assuming 2-body interactions modeled with the combination of a zero-range and…

Quantum Physics · Physics 2012-06-26 P. R. Johnson , D. Blume , X. Y. Yin , W. F. Flynn , E. Tiesinga

Four-body systems are studied using an effective field theory with two- and three-body contact interactions. A method to systematically address deep trimers (three-body bound states that are more tightly bound than four-body bound/resonant…

Nuclear Theory · Physics 2024-03-04 Xincheng Lin

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

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

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…

Nuclear Theory · Physics 2021-12-28 P. Capel , D. R. Phillips , H. -W. Hammer

The four-body bound state with two-body forces is formulated by the Three-Dimensional approach, which greatly simplifies the numerical calculations of few-body systems without performing the Partial Wave components. We have obtained the…

Nuclear Theory · Physics 2017-08-23 M. R. Hadizadeh , S. Bayegan

A closed form expression for the ground state energy density of the general extensive many-body problem is given in terms of the Lanczos tri-diagonal form of the Hamiltonian. Given the general expressions of the diagonal and off-diagonal…

Condensed Matter · Physics 2009-10-28 Lloyd C. L. Hollenberg , N. S. Witte

The electronic response of a two-dimensional (2D) electron system represents a key quantity in discussing one-electron properties of electrons in semiconductor heterojunctions, on the surface of liquid helium and in copper-oxide planes of…

Materials Science · Physics 2009-10-31 A. Bergara , J. M. Pitarke , P. M. Echenique

The traditional nuclear shell model approach is extended to include many-body forces. The empirical Hamiltonian with a three-body force is constructed for the identical nucleons on the 0f7/2 shell. Manifestations of the three-body force in…

Nuclear Theory · Physics 2009-08-03 Alexander Volya

Data from e+e- annihilation into hadrons at centre-of-mass energies between 91 GeV and 209 GeV are used to study the four-jet rate as a function of the Durham algorithm's resolution parameter y_cut. The four-jet rate is compared to…

High Energy Physics - Experiment · Physics 2011-07-19 Jochen Schieck

We calculated the 4He trimer and tetramer ground and excited states with the LM2M2 potential using our Gaussian expansion method (GEM) for ab initio variational calculations of few-body systems. The method has extensively been used for a…

Atomic Physics · Physics 2015-03-19 E. Hiyama , M. Kamimura

A one-dimensional system of bosons interacting with contact and single-Gaussian forces is studied with an expansion in hyperspherical harmonics. The hyperradial potentials are calculated using the link between the hyperspherical harmonics…

Nuclear Theory · Physics 2017-10-03 N. K. Timofeyuk , D. Baye

We report a variational calculation of ground state energies and radii for 4He_N droplets (3 \leq N \leq 40), using the atom-atom interaction HFD-B(HE). The trial wave function has a simple structure, combining two- and three-body…

Atomic and Molecular Clusters · Physics 2009-10-31 R. Guardiola , M. Portesi , J. Navarro

We present an approach to the estimate of the potential of mean force along a generic reaction coordinate based on maximum likelihood methods and path-ensemble averages in systems driven far from equilibrium. Following similar arguments,…

Computational Physics · Physics 2008-03-05 Riccardo Chelli , Simone Marsili , Piero Procacci

Exact four-body equations of Alt, Grassberger and Sandhas are solved for neutron-${}^3\mathrm{He}$ and proton-${}^3\mathrm{H}$ scattering in the energy regime above the four-nucleon breakup threshold. Cross sections and spin observables for…

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

The system of three ${}^4\mathrm{He}$ atoms with realistic interactions is studied in the momentum-space framework. It is demonstrated that short and long-range difficulties encountered in the coordinate-space calculations can be reliably…

Atomic Physics · Physics 2017-06-05 A. Deltuva

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…

Nuclear Theory · Physics 2015-06-18 Y. Kucuk , J. A. Tostevin

A calculation of the $^3$He transverse $(e,e')$ inclusive response function, $R_T$, which includes $\Delta$ degrees of freedom is performed using the Lorentz integral transform method. The resulting coupled equations are treated in impulse…

Nuclear Theory · Physics 2010-12-23 Luping Yuan , Victor D. Efros , Winfried Leidemann , Edward L. Tomusiak

Low energy capture cross sections are calculated within a microscopic many-body approach using an effective Hamiltonian derived from the Argonne V18 potential. The dynamics is treated within Fermionic Molecular Dynamics (FMD) which uses a…

Nuclear Theory · Physics 2011-05-13 Thomas Neff , Hans Feldmeier , Karlheinz Langanke

Many-body forces are sometimes a relevant ingredient in various fields, such as atomic, nuclear or hadronic physics. Their precise structure is generally difficult to uncover. So, phenomenological effective forces are often used in…

Quantum Physics · Physics 2018-07-19 Claude Semay , Guillaume Sicorello