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In order to include a correction by the Coulomb interaction in Bose-Einstein correlations (BEC), the wave function for the Coulomb scattering were introduced in the quantum optical approach to BEC in the previous work. If we formulate the…

High Energy Physics - Phenomenology · Physics 2015-06-25 Minoru Biyajima , Takuya Mizoguchi , Naomichi Suzuki

The effect of multi-particle Coulomb final state interactions on higher-order intensity correlations is determined in general, based on a scattering wave function which is solution of the n-body Coulomb Schr\"odinger equation in (a large…

Nuclear Theory · Physics 2011-09-13 E. O. Alt , T. Csorgo , B. Lorstad , J. Schmidt-Sorensen

The recent data for Bose-Einstein Correlations (BEC) of three-charged particles obtained by NA44 Collaboration have been analysed using theoretical formula with Coulomb wave functions. It has been recently proposed by Alt et al. It turns…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Mizoguchi , M. Biyajima

Using effective formulas we analyze the Bose-Einstein correlations (BEC) data corrected for Coulomb interactions provided by STAR Collaboration and the quasi-corrected data (raw data with acceptance correction etc) on 2\pi and 3\pi BEC by…

Nuclear Theory · Physics 2009-11-10 M. Biyajima , M. Kaneyama , T. Mizoguchi

Starting from an asymptotically correct three-body Coulomb wave-function, we determine the effect of Coulomb final state interaction on the three-particle Bose-Einstein correlation function of similarly charged particles. We numerically…

High Energy Physics - Phenomenology · Physics 2019-08-17 E. O. Alt , T. Csörgö , B. Lörstad , J. Schmidt-Sørensen

We present an analytical formula for the Bose-Einstein correlations (BEC) which includes effects of both Coulomb and strong final stateinteractions (FSI). It was obtained by using Coulomb wave function together with the scattering partial…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Osada , S. Sano , M. Biyajima

A simple analytic expression of the three-body wave function describing the system $(\alpha\alpha n)$ in the ground state $\frac{3}{2}^-$ of ${}^9\mathrm{Be}$ is obtained. In doing this, it is assumed that the $\alpha$ particles interact…

Nuclear Theory · Physics 2024-08-06 S. A. Rakityansky

It is shown that the effective interaction strength of three bosons at small collision energies can be extracted from their wave function at zero energy. An asymptotic expansion of this wave function at large interparticle distances is…

Statistical Mechanics · Physics 2008-07-27 Shina Tan

The two-body Coulomb scattering problem is solved using the standard complex scaling method. The explicit enforcement of the scattering boundary condition is avoided. Splitting of the scattering wave function based on the Coulomb modified…

Atomic Physics · Physics 2015-06-03 I. Hornyak , A. T. Kruppa

We propose extension of the numerical method to model effect of Bose-Einstein correlations (BEC) observed in hadronization processes which allows for calculations not only correlation functions $C_2(Q_{inv})$ (one-dimensional) but also…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

The asymptotic wave function derived by Alt and Mukhamedzhanov [Phys. Rev. A 47, 2004 (1993)] and Mukhamedzhanov and Lieber [Phys. Rev. A 54, 3078 (1996)] has been refined in the region where the pair $ (\beta,\gamma)$ remains close to each…

Nuclear Theory · Physics 2009-11-11 A. M. Mukhamedzhanov , A. S. Kadyrov , F. Pirlepesov

We investigate local three-body correlations for bosonic particles in three and one dimensions as a function of the interaction strength. The three-body correlation function g(3) is determined by measuring the three-body recombination rate…

A three-body scattering process in the presence of Coulomb interaction can be decomposed formally into a two-body single channel, a two-body multichannel and a genuine three-body scattering. The corresponding integral equations are coupled…

Atomic Physics · Physics 2009-11-07 Z. Papp , C-. Y. Hu , Z. T. Hlousek , B. Kónya , S. L. Yakovlev

Recent advances in the treatment of scattering of charged composite particles are reviewed. In a first part I report on developments of the theory. Specifically I describe the recent completion of the derivation of the co-ordinate space…

Nuclear Theory · Physics 2011-04-15 E. O. Alt

The coordinate asymptotics of the wave function for the problem of scattering of three particles with Coulomb interaction is constructed. Representation of hyperspherical functions is used to reduce the Schr\"odinger equation to a system of…

Mathematical Physics · Physics 2023-08-23 S. L. Yakovlev

We construct a variational wave function for inhomogeneous weakly interacting Bose--Einstein condensates beyond the mean-field approximation by incorporating $3/2$-body correlations. From our numerical results calculated for a system…

Quantum Gases · Physics 2018-12-26 Wataru Kohno , Akimitsu Kirikoshi , Takafumi Kita

We present improved Coulomb correction formulae for Bose-Einstein correlations including also exchange term and use them to calculate appropriate correction factors for several source functions. It is found that Coulomb correction to the…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Biyajima , T. Mizoguchi , T. Osada , G. Wilk

We consider Bose-Einstein condensates with two- and three-body interactions periodically varying in time. Two models of time-dependent three-body interactions, with quadratic and quartic dependence on the two-body atomic scattering length…

Quantum Gases · Physics 2016-01-20 Fatkhulla Kh. Abdullaev , Arnaldo Gammal , Lauro Tomio

We report on a systematic treatment of Coulomb corrections for 3- and n-particle (Bose-Einstein) correlations, leading to a removal of a 100 % systematic error from earlier Coulomb corrections of 5-particle Bose-Einstein correlations in…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. O. Alt , T. Csorgo , B. Lorstad , J. Schmidt-Sorensen

Particle correlations and femtoscopy are a rich subfield of high-energy physics. As the experimental data become more precise, there is an increasing need for the theoretical calculations to provide better and more general descriptions of…

Nuclear Theory · Physics 2026-05-26 Márton I. Nagy , Máté Csanád , Dániel Kincses
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