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The two-body density matrix for $^{4}He,^{16}O$ and $^{40}Ca$ within the Low-order approximation of the Jastrow correlation method is considered. Closed analytical expressions for the two-body density matrix, the center of mass and relative…

Nuclear Theory · Physics 2009-10-31 S. S. Dimitrova , D. N. Kadrev , A. N. Antonov , M. V. Stoitsov

We investigate the possibility of using a transcorrelated Hamiltonian to describe electron correlation. Amethod to obtain transcorrelatedwavefunctionswas developed based on the mathematical framework of the bi-variational principle. This…

Chemical Physics · Physics 2024-07-23 Nicholas Lee , Alex J. W. Thom

We study atom-atom correlations and relative number squeezing in the dissociation of a Bose-Einstein condensate (BEC) of molecular dimers made of either bosonic or fermionic atom pairs. Our treatment addresses the role of the spatial…

Statistical Mechanics · Physics 2008-07-18 Magnus Ogren , K. V. Kheruntsyan

By analyzing recent microscopic many-body calculations of few-nucleon systems and complex nuclei performed by different groups in terms of realistic nucleon-nucleon (NN) interactions, it is shown that NN short-range correlations (SRCs) have…

A generalization of the core/halo model to the Bose-Einstein correlation function of any number of particles is presented. In particular, a simple prediction is obtained for the intercept parameter of the n-particle inclusive Bose-Einstein…

High Energy Physics - Phenomenology · Physics 2009-10-30 T. Csorgo

We review results on scattering observables for $^4$He--$^4$He$_2$ and $^3$He--$^4$He$_2$ collisions. We also study the effect of varying the coupling constant of the atom-atom interaction on the scattering length.

Atomic and Molecular Clusters · Physics 2007-07-17 Elena A. Kolganova , Alexander K. Motovilov , Werner Sandhas

In this article, we report a fully ab initio variational Monte Carlo study of the linear, and periodic chain of Hydrogen atoms, a prototype system providing the simplest example of strong electronic correlation in low dimensions. In…

Strongly Correlated Electrons · Physics 2015-05-30 Lorenzo Stella , Claudio Attaccalite , Sandro Sorella , Angel Rubio

Motivated by the recent article of P. Shea {\it et al.} [Am. J. Phys. {\bf 77} (6), 2009] we examine the exactly solvable problem of two harmonically trapped ultra-cold bosonic atoms interacting {\it via} a short range potential in one and…

Quantum Gases · Physics 2015-05-14 Aaron Farrell , Brandon P. van Zyl

We consider weakly interacting bosonic gases with local and non-local multi-body interactions. By using the Bogoliubov approximation, we first investigate contact interactions, studying the case in which the interparticle potential can be…

Quantum Gases · Physics 2017-10-10 D. Laghi , T. Macrì , A. Trombettoni

One-nucleon emission electron scattering experiments are studied with a model that considers short--range correlations up to the first order in the number of correlation lines. The proper normalization of the many-body wave functions…

Nuclear Theory · Physics 2009-11-07 S. R. Mokhtar , M. Anguiano , G. Co' , A. M. Lallena

A range-separation of the Coulomb hole into two components, one of them being predominant at long interelectronic separations (hcI ) and the other at short distances (hcII ), is exhaustively analyzed throughout various examples that put…

Chemical Physics · Physics 2022-05-25 Mireia Via-Nadal , Mauricio Rodríguez-Mayorga , Eloy Ramos-Cordoba , Eduard Matito

We formulate a method to study two-body correlations in a condensate of N identical bosons. We use the adiabatic hyperspheric approach and assume a Faddeev like decomposition of the wave function. We derive for a fixed hyperradius an…

Condensed Matter · Physics 2009-11-07 O. Sorensen , D. V. Fedorov , A. S. Jensen , E. Nielsen

Considering bosonic atoms immersed in a dilute Fermi gas, we theoretically investigate medium-induced bosonic clusters associated with fermion-mediated two- and three-body interactions. Using the variational approach combined with the…

Quantum Gases · Physics 2024-01-25 Yixin Guo , Hiroyuki Tajima

Two particle correlations are used to extract information about the characteristic size of the system in proton-proton and heavy ion collisions. The size of the system can be extracted from the Bose-Einstein quantum mechanical effect for…

High Energy Physics - Experiment · Physics 2011-01-28 Nicolas Bock

We derive a universal form for the correlation function of general n component systems in the limit of high temperatures or weak coupling. This enables the extraction of effective microscopic interactions from measured high temperature…

Statistical Mechanics · Physics 2015-02-25 Saurish Chakrabarty , Zohar Nussinov

During the last decade, many exciting phenomena have been experimentally observed and theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid developments concentrating mainly on the theory. Different…

Quantum Gases · Physics 2015-12-29 K. V. Krutitsky

An approximate many-body theory incorporating two-body correlations has been employed to calculate low-lying collective multipole frequencies in a Bose-Einstein condensate containing $A$ bosons, for different values of the interaction…

Quantum Gases · Physics 2009-07-21 Anindya Biswas , Tapan Kumar Das

We present analytical results for the nonlocal pair correlations in one-dimensional bosonic systems with repulsive contact interactions that are uniformly valid from the classical regime of high temperatures down to weak quantum degeneracy…

Quantum Gases · Physics 2018-08-01 Benjamin Geiger , Quirin Hummel , Juan Diego Urbina , Klaus Richter

Basic problems of a microscopic theory of many body quantum systems and different aspects of a new approach which can help in solving them are discussed in detail. To this effect we make a critical study of the wave mechanics of two hard…

Condensed Matter · Physics 2007-05-23 Y. S. Jain

The short range repulsion between nucleons is treated by a unitary correlation operator which shifts the nucleons away from each other whenever their uncorrelated positions are within the replusive core. By formulating the correlation as a…

Nuclear Theory · Physics 2009-10-30 H. Feldmeier , T. Neff , R. Roth , J. Schnack