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The strong energy dependence of the s-wave eta-N scattering amplitude at and below threshold, as evident in coupled-channels K-matrix fits and chiral models that incorporate the S11 N*(1535) resonance, is included self-consistently in…

Nuclear Theory · Physics 2015-06-15 E. Friedman , A. Gal , J. Mareš

The inelastic scattering of electrons on weakly-bound nuclei is studied with a simple model based on the long range behavior of the bound state wavefunction and on the effective-range expansion for the continuum wavefunctions. Three…

Nuclear Theory · Physics 2009-11-11 C. A. Bertulani

In this work we investigate small clusters of bosons using the hyperspherical harmonic basis. We consider systems with $A=2,3,4,5,6$ particles interacting through a soft inter-particle potential. In order to make contact with a real system,…

Atomic and Molecular Clusters · Physics 2012-11-16 M. Gattobigio , A. Kievsky , M. Viviani

The elastic scattering properties of three bosons at low energy enter the many-body description of ultracold Bose gases via the three-body scattering hypervolume $D$. We study this quantity for identical bosons that interact via a pairwise…

Atomic Physics · Physics 2019-11-25 P. M. A. Mestrom , V. E. Colussi , T. Secker , S. J. J. M. F. Kokkelmans

Within the framework of the Glauber diffraction theory, the differential cross sections of the elastic p6He, p8Li, and p9Li scattering were calculated at intermediate energies from 70 to 1000 MeV/nucleon. The use of realistic three-body…

Nuclear Theory · Physics 2015-06-15 E. T. Ibraeva , A. V. Dzhazairov-Kahramanov , O. Imambekov

We discuss the extension of the oscillator-basis $J$-matrix formalism on the case of true $A$-body scattering. The formalism is applied to loosely-bound $^{11}$Li and $^6$He nuclei within three-body cluster models ${\rm {^9Li}}+n+n$ and…

Nuclear Theory · Physics 2014-11-18 Yu. A. Lurie , A. M. Shirokov

The four-body equations of Alt, Grassberger and Sandhas are solved, for the first time, for proton-${}^3\mathrm{He}$ scattering including the Coulomb interaction between the three protons using the method of screening and renormalization as…

Nuclear Theory · Physics 2008-11-26 A. Deltuva , A. C. Fonseca

Energy-changing electron-hydrogen atom collisions are crucial to regulating the energy balance in astrophysical and laboratory plasmas and relevant to the formation of stellar atmospheres, recombination in H-II clouds, primordial…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 Daniel Vrinceanu , Roberto Onofrio , Hossein R. Sadeghpour

The bound-state QED approach is applied to calculations of the $2p_{3/2} \rightarrow 2s$ transition energies in He-, Li-, and Be-like uranium. For U$^{90+}$ and U$^{89+}$, standard perturbation theory for a single level is employed, while…

Atomic Physics · Physics 2023-05-11 A. V. Malyshev , Y. S. Kozhedub , V. M. Shabaev

We have investigated S-wave bound states composed of three identical bosons interacting via regulated delta function potentials in non-relativistic quantum mechanics. For low-energy systems, these short-range potentials serve as an…

Nuclear Theory · Physics 2007-05-23 R. F. Mohr

We present a practical method to solve the proton-deuteron scattering problem at energies above the three-body breakup threshold, in which we treat three-body integral equations in coordinate space accommodating long-range proton-proton…

Nuclear Theory · Physics 2015-05-14 S. Ishikawa

We predict $s-$wave elastic cross-sections $\sigma$ for low-energy atom-molecule collisions with kinetic energies up to 40 mK, for the $^4$He collision with weakly bound diatomic molecules formed by $^4$He with $^7$Li, $^6$Li and $^{23}$Na.…

Atomic Physics · Physics 2018-09-26 M. A. Shalchi , A. Delfino , T. Frederico , Lauro Tomio

We propose a hybrid quantum-classical framework to solve the elastic scattering phase shift of two well-bound nuclei in an uncoupled channel. Within this framework, we develop a many-body formalism in which the continuum scattering states…

Nuclear Theory · Physics 2024-08-14 Peiyan Wang , Weijie Du , Wei Zuo , James P. Vary

We use the zero-range approximation to study a system of two identical bosons interacting resonantly with a third particle. The method is derived from effective field theory. It reduces the three-body problem to an integral equation which…

Quantum Gases · Physics 2010-05-26 K. Helfrich , H. -W. Hammer , D. S. Petrov

We calculate energy levels of two and three bosons trapped in a harmonic oscillator potential with oscillator length $a_{\mathrm osc}$. The atoms are assumed to interact through a short-range potential with a scattering length $a$, and the…

Condensed Matter · Physics 2013-05-29 S. Jonsell , H. Heiselberg , C. J. Pethick

The development of computational resources has made it possible to determine upper bounds for atomic and molecular energies with high precision. Yet, error bounds to the computed energies have been available only as estimates. In this…

Chemical Physics · Physics 2023-01-10 Miklos Ronto , Peter Jeszenszki , Edit Mátyus , Eli Pollak

Scattering states with LEED asymptotics are calculated for a general non-muffin tin potential, as e.g. for a pseudopotential with a suitable barrier and image potential part. The latter applies especially to the case of low lying conduction…

Materials Science · Physics 2009-10-30 S. Lorenz , C. Solterbeck , W. Schattke , J. Burmeister , W. Hackbusch

We present an experimental study on the rotational inelastic scattering of OH ($X^2\Pi_{3/2}, J=3/2, f$) radicals with He and D$_2$ at collision energies between 100 and 500 cm$^{-1}$ in a crossed beam experiment. The OH radicals are state…

The differential cross sections for low-energy muonic hydrogen atom scattering from hydrogenic molecules are directly expressed by the corresponding amplitudes for muonic atom scattering from hydrogen-isotope nuclei. The energy and angular…

Atomic Physics · Physics 2018-03-09 Andrzej Adamczak

The algebraic molecular model is used in $^{12}$C to construct densities and transition densities connecting low-lying states of the rotovibrational spectrum, first and foremost those belonging to the rotational bands based on the ground…

Nuclear Theory · Physics 2019-09-12 A. Vitturi , J. Casal , L. Fortunato , E. G. Lanza
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