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The Schr\"odinger equation discribing the local potential model of a strong $\pi^+\pi^-$-interaction was studied. The influence of the strong $\pi^+\pi^-$-interaction of the behaviour of pionium nS-state wave functions at small distances is…

High Energy Physics - Phenomenology · Physics 2009-09-25 I. Amirkhanov , I. Puzynin , A. Tarasov , O. Voskresenskaya , O. Zeinalova

The time dependent Schroedinger equation for two identical and charged pions is solved using wavepacket states. It is shown that the expected Coulomb distortion in the momentum correlation function is obliterated by the dispersion of the…

Nuclear Theory · Physics 2009-10-30 H. Merlitz , D. Pelte

In this work the Coulomb effects (Coulomb correlations) in $\pi^+\pi^-$ pairs produced in p + Ni collisions at 24 GeV/$c$, are studied using experimental $\pi^+\pi^-$ pair distributions in $Q$, the relative momentum in the pair center of…

The influence of strong $\pi^+\pi^-$ interaction of the behaviour of pionium nS-state wave functions at small distance are investigated both analytically (perturbatively) and so numerically. It is shown that in the whole the accounting of…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. Amirkhanov , I. Puzynin , A. Tarasov , O. Voskresenskaya , O. Zeinalova

We calculate the pi-/pi+ ratio for Pb+Pb at CERN/SPS energies and for Au+Au at BNL/AGS energies using a (3+1) dimensional hydrodynamical model. Without consideration of Coulomb effect an enhancement of this ratio at low mt is found…

High Energy Physics - Phenomenology · Physics 2009-10-28 N. Arbex , U. Ornik , M. Pluemer , B. R. Schlei , R. M. Weiner

We study exclusive $\pi^+ \pi^-$ pair production near $\rho^0$ resonance peak in ultraperipheral heavy ion collisions. Pion pair can either be produced via two photon fusion process or from the decay of $\rho^0$ in photon-nuclear reaction.…

High Energy Physics - Phenomenology · Physics 2021-04-28 Yoshikazu Hagiwara , Cheng Zhang , Jian Zhou , Ya-jin Zhou

Correlations of two like charged pions emitted from a hot and charged spherically expanding nuclear system are investigated. The motion of the pions is described quantum mechanically using the Klein-Gordon equation which includes Coulomb…

Nuclear Theory · Physics 2009-10-31 H. W. Barz

The size of $\pi^+\pi^-$ atom in the low lying states is considerably smaller than the radius of atomic screening. Due to that we can neglect this screening calculating the contribution of multi-photon exchanges. We obtain the analytic…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Yu. Ivanov , L. Szymanowski

A wavepacket model for a system of free pions, which takes into account the full permutation symmetry of the wavefunction and which is suitable for any phase space parametrization is developed. The properties of the resulting mixed…

Nuclear Theory · Physics 2016-09-08 H. Merlitz , D. Pelte

Coulomb effects on charged pion transverse momentum spectra produced in Au+Au collisions at RHIC-BES energies are investigated. From these spectra the {\pi}-/{\pi}+ ratios as a function of transverse momentum are obtained and used to…

Nuclear Experiment · Physics 2017-11-15 Catalin Ristea , Oana Ristea , Alexandru Jipa

The subtle differences between positive and negative pion spectra can used be used to study the nature of the nuclear interaction region in heavy-ion collisions. Several large acceptance heavy ion experiments at facilities ranging from SIS,…

Nuclear Experiment · Physics 2014-08-07 D. Cebra , S. G. Brovko , C. E. Flores , B. A. Haag , J. L. Klay

We have proposed a new method for the Coulomb wave function correction which includes the momentum resolution for charged hadron pairs and applied it to the precise data on pi^+pi^- correlations obtained in p + Ta reaction at 70 GeV/c. It…

Nuclear Theory · Physics 2009-10-31 T. Mizoguchi , M. Biyajima , I. V. Andreev , G. Wilk

The corrections for two pion correlations due to electromagnetic final state interactions at high secondary multiplicities are investigated. It is shown that these result in a noticeable deviation from the standard Gamov factor. This…

High Energy Physics - Phenomenology · Physics 2008-02-03 D. V. Anchishkin , W. A. Zajc , G. M. Zinovjev

The recently reported data on the yield ratio $\pi^-/\pi^+$ in central rapidity region of heavy-ion collisions are analyzed by theoretical formula which accounts for Coulomb interaction between central charged fragment (CCF) consisting of…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Osada , S. Sano , M. Biyajima , G. Wilk

The influence of the hadronic \pi\pi interaction on the wave functions of pionium (the Coulomb bound \pi^+\pi^- system) at distances less than 10 fm is calculated for s-states with principal quantum numbers n<5. Hadronic \pi\pi potentials…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gashi , G. Rasche , W. S. Woolcock

The ratio of productions of pi+pi- atoms to free pi+pi- pairs is calculated with account of the strong interaction in final states. It is shown that this ratio is expressed via a squared ratio of the well-known Coulomb wave functions and…

High Energy Physics - Phenomenology · Physics 2009-10-31 L. Afanasyev , O. Voskresenskaya

The Schr\"odinger equation for quantum dot lattices with non-cubic, non-Bravais lattices built up from elliptical dots is investigated. The Coulomb interaction between the dots is considered in dipole approximation. Then only the center of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Taut

The effect of the final state Coulomb interaction on particles produced in Pb+Pb collisions at 158 A GeV/c has been investigated in the WA98 experiment through the study of the pi-/pi+ and K-/K+ ratios measured as a function of transverse…

Nuclear Experiment · Physics 2014-11-18 WA98 Collaboration

In order to analyze data on charged pions correlation channels, pi^+(2pi^-) and pi^-(2pi^+), we propose new interferometry approach using the Coulomb wave function. We show that to describe adequately data we have to introduce new parameter…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Biyajima , T. Mizoguchi , N. Suzuki

We compute the Coulomb distortion produced by an expanding and highly charged fireball on the spectra of low transverse momenta and mid rapidity pions produced in central high energy heavy ion collisions. We compare to data on Au+Au at…

Nuclear Theory · Physics 2015-06-26 Alejandro Ayala , Sangyong Jeon , Joseph Kapusta
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