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The stability of Bernstein's characterization of Gaussian distributions is extended to vectors by utilizing characteristic functions. Stability is used to develop a soft doubling argument that establishes the optimality of Gaussian vectors…

Information Theory · Computer Science 2023-08-15 Mohammad Mahdi Mahvari , Gerhard Kramer

To estimate the strength of the Bose-Einstein correlations and the radius of the hadronization region in multiparticle production, the two-particle correlation functions $R$ for identical pairs is adjusted to a parametric function…

High Energy Physics - Experiment · Physics 2009-10-31 A. De Angelis , L. Vitale

Bose-Einstein Correlations in one and two dimensions have been studied in charged current muon-neutrino interaction events collected with NOMAD. In one dimension the Bose-Einstein effect has been analyzed with the Goldhaber and the Kopylov…

High Energy Physics - Experiment · Physics 2007-05-23 Riccardo Zei

We consider the mean-field vortex solutions and their stability within a two-component Bose Einstein condensate in the immiscible limit. A variational approach is employed to study a system consisting of a majority component which contains…

Quantum Gases · Physics 2022-10-05 R. Doran , A. W. Baggaley , N. G. Parker

We investigate the nature of the new cross term for Gaussian parameterizations of Bose-Einstein correlations of identical particles emitted from purely chaotic hadron sources formed by relativistic heavy ion collisions. We find that this…

Nuclear Theory · Physics 2009-10-30 B. R. Schlei , D. Strottman , N. Xu

We discuss the properties of an ideal relativistic gas of events possessing Bose-Einstein statistics. We find that the mass spectrum of such a system is bounded by $\mu \leq m\leq 2M/\mu _K,$ where $\mu $ is the usual chemical potential,…

High Energy Physics - Theory · Physics 2007-05-23 L. Burakovsky , L. P. Horwitz , W. C. Schieve

Bose-Einstein condensates with an attractive 1/r interaction and with dipole-dipole interaction are investigated in the framework of the Gaussian variational ansatz introduced by S. Rau, J. Main, and G. Wunner [Phys. Rev. A, submitted]. We…

Quantum Gases · Physics 2010-08-17 Stefan Rau , Jörg Main , Holger Cartarius , Patrick Köberle , Günter Wunner

A comprehensive model study of Bose-Einstein correlation radii in heavy ion collisions is presented. The starting point is a longitudinally and transversally expanding fireball, represented at freeze-out by an azimuthally symmetric emission…

Nuclear Theory · Physics 2009-10-09 Boris Tomasik , Ulrich Heinz

The Bose-Einstein condensation of correlated atoms in a trap is studied by examining the effect of inter-particle correlations to one-body properties of atomic systems at zero temperature using a simplified formula for the correlated two…

Soft Condensed Matter · Physics 2009-11-07 Ch. C. Moustakidis , S. E. Massen

Bose-Einstein (or HBT) momentum correlations reveal the space-time structure of the particle emitting source created in high energy nucleus-nucleus collisions. In this paper we present the latest NA61/SHINE measurements of Bose-Einstein…

Nuclear Experiment · Physics 2019-08-23 Barnabas Porfy

Quantum field theory of equilibrium and nonequilibrium Bose-Einstein condensates is formulated so as to satisfy three basic requirements: the Hugenholtz-Pines relation; conservation laws; identities among vertices originating from…

Quantum Gases · Physics 2021-01-08 Takafumi Kita

The formation of patterns in driven systems has been studied extensively, and their emergence can be connected to a fine balance of instabilities and stabilization mechanisms. While the early phase of pattern formation can be understood on…

We present new algorithms for simulating Bose-Einstein correlations among final-state bosons in an event generator. The algorithms are all based on introducing Bose-Einstein correlations as a shift of final-state momenta among identical…

High Energy Physics - Phenomenology · Physics 2011-02-15 L. Lönnblad , T. Sjöstrand

We study modulational instability of two-component Bose-Einstein condensates in an optical lattice, which is modelled as a coupled discrete nonlinear Schr \"{o}dinger equation. The excitation spectrum and the modulational instability…

Quantum Physics · Physics 2016-09-08 Guang-Ri Jin , Chul Koo Kim , Kyun Nahm

Most models of Bose-Einstein correlations in multiple particle production processes can be ascribed to one of the following three broad classes: models based on the original idea of the Goldhabers, Lee nad Pais, hydrodynamic models and…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Zalewski

Preliminary femtoscopic results on identical pions from high statistics data set of Au+Au collisions at sqrt{s_NN}=200 GeV taken during the fourth RHIC run are presented. The measured three-dimensional correlation function is studied at low…

Nuclear Experiment · Physics 2009-11-11 M. Bystersky

Bose-Einstein correlations in pairs of identical particles were analyzed in e+ e- multihadron annihilations at ~91.2 GeV at LEP. The first studies involved identical charged pions and the emitting source size was determined. Then the study…

High Energy Physics - Experiment · Physics 2008-11-26 C. Ciocca , M. Cuffiani , G. Giacomelli

We investigate stability of non-equilibrium steady states of Bose-Einstein condensates with a local one-body loss in the presence of double potential barriers. We construct an exactly solvable mean-field model, in which the local loss and…

Quantum Gases · Physics 2019-12-11 Masaya Kunimi , Ippei Danshita

The properties of the uniform Bose gas is studied within the optimized variational perturbation theory (Gaussian approximation) in a self-consistent way. It is shown that the atomic BEC with a repulsive interaction becomes unstable when the…

Statistical Mechanics · Physics 2009-11-13 Abdulla Rakhimov , Chul Koo Kim , Sang-Hoon Kim , Jae Hyung Yee

This paper reports measurements of two-pion Bose-Einstein (HBT) correlations in Be+Be collisions at a beam momentum of 150$A\,\mbox{GeV}/\textit{c}$ by the $\mbox{NA61/SHINE}$ experiment at the CERN SPS accelerator. The obtained momentum…

Nuclear Experiment · Physics 2024-07-22 SHINE Collaboration , H. Adhikary , P. Adrich , K. K. Allison , N. Amin , E. V. Andronov , T. Antićić , I. -C. Arsene , M. Bajda , Y. Balkova , M. Baszczyk , D. Battaglia , A. Bazgir , S. Bhosale , M. Bielewicz , A. Blondel , M. Bogomilov , Y. Bondar , N. Bostan , A. Brandin , W. Bryliński , J. Brzychczyk , M. Buryakov , A. F. Camino , M. Ćirković , M. Csanád , J. Cybowska , T. Czopowicz , C. Dalmazzone , N. Davis , A. Dmitriev , P. von Doetinchem , W. Dominik , P. Dorosz , J. Dumarchez , R. Engel , G. A. Feofilov , L. Fields , Z. Fodor , M. Friend , A. Garibov , M. Gaździcki , O. Golosov , V. Golovatyuk , M. Golubeva , K. Grebieszkow , F. Guber , S. N. Igolkin , S. Ilieva , A. Ivashkin , A. Izvestnyy , K. Kadija , N. Kargin , N. Karpushkin , E. Kashirin , M. Kiełbowicz , V. A. Kireyeu , H. Kitagawa , R. Kolesnikov , D. Kolev , Y. Koshio , V. N. Kovalenko , S. Kowalski , B. Kozłowski , A. Krasnoperov , W. Kucewicz , M. Kuchowicz , M. Kuich , A. Kurepin , A. László , M. Lewicki , G. Lykasov , V. V. Lyubushkin , M. Maćkowiak-Pawłowska , Z. Majka , A. Makhnev , B. Maksiak , A. I. Malakhov , A. Marcinek , A. D. Marino , K. Marton , H. -J. Mathes , T. Matulewicz , V. Matveev , G. L. Melkumov , A. Merzlaya , Ł. Mik , A. Morawiec , S. Morozov , Y. Nagai , T. Nakadaira , M. Naskręt , S. Nishimori , V. Ozvenchuk , O. Panova , V. Paolone , O. Petukhov , I. Pidhurskyi , R. Płaneta , P. Podlaski , B. A. Popov , B. Pórfy , M. Posiadała-Zezula , D. S. Prokhorova , D. Pszczel , S. Puławski , J. Puzović , R. Renfordt , L. Ren , V. Z. Reyna Ortiz , D. Röhrich , E. Rondio , M. Roth , Ł. Rozpłochowski , B. T. Rumberger , M. Rumyantsev , A. Rustamov , M. Rybczynski , A. Rybicki , K. Sakashita , K. Schmidt , A. Yu. Seryakov , P. Seyboth , U. A. Shah , Y. Shiraishi , A. Shukla , M. Słodkowski , P. Staszel , G. Stefanek , J. Stepaniak , M. Strikhanov , H. Ströbele , T. Šuša , Ł. Świderski , J. Szewiński , R. Szukiewicz , A. Taranenko , A. Tefelska , D. Tefelski , V. Tereshchenko , A. Toia , R. Tsenov , L. Turko , T. S. Tveter , M. Unger , M. Urbaniak , F. F. Valiev , D. Veberič , V. V. Vechernin , V. Volkov , A. Wickremasinghe , K. Wójcik , O. Wyszyński , A. Zaitsev , E. D. Zimmerman , A. Zviagina , R. Zwaska
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