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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

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 time dependent Schr\"odinger equation for $\pi^+$--$\pi^-$ pairs, which are emitted from the interaction zone in relativistic nuclear collisions, is solved using wavepacket states. It is shown that the Coulomb enhancement in the…

Nuclear Theory · Physics 2008-11-26 H. Merlitz , D. Pelte

The influence of the isospin-independent, isospin- and momentum-dependent equation of state (EoS), as well as the Coulomb interaction on the pion production in intermediate energy heavy ion collisions (HICs) is studied for both…

Nuclear Theory · Physics 2009-11-11 Qingfeng Li , Zhuxia Li , Sven Soff , Marcus Bleicher , Horst Stoecker

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

We show that the Schr\"odinger equation can be solved exactly based only on classical least action. Fundamental postulates of quantum mechanics can in turn be derived directly from this construction. The results extend to the relativistic…

Quantum Physics · Physics 2026-02-10 Winfried Lohmiller , Jean-Jacques Slotine

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…

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

The expression for the $(\pi^+\pi^-)$ atom lifetime is derived within the Bethe-Salpeter approach. First-order perturbative corrections due to the contribution of strong interactions are taken into account. It is demonstrated that the atom…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. E. Lyubovitskij , A. G. Rusetsky

Using recent high-statistics STAR data from Au+Au and Cu+Cu collisions at full RHIC energy I discuss strong and Coulomb-induced final state interaction effects on identical ($\pi-\pi$) and non-identical ($\pi-\Xi$) particle correlations.…

Nuclear Experiment · Physics 2011-08-04 M. Sumbera

We propose a model for $D^+ \to \pi^+ \pi^- \pi^+$ decays following experimental results which indicate that the two-pion interaction in the $S$-wave is dominated by the scalar resonances $f_0(600)/\sigma$ and $f_0(980)$. The weak decay…

High Energy Physics - Phenomenology · Physics 2009-03-20 D. R. Boito , J. -P. Dedonder , B. El-Bennich , O. Leitner , B. Loiseau

Within the finite-temperature Greens-function formalism we study the equation of state of a hot interacting pion gas at zero chemical potential. Employing realistic $\pi\pi$ meson-exchange interactions we selfconsistently calculate the…

Nuclear Theory · Physics 2008-11-26 R. Rapp , J. Wambach

We have studied the residual interaction effects theoretically on the deeply bound pionic states in Pb and Sn isotopes. We need to evaluate the residual interaction effects carefully in order to deduce the nuclear medium effects for pion…

Nuclear Theory · Physics 2009-11-11 N. Nose-Togawa , H. Nagahiro , S. Hirenzaki , K. Kume

New strong coupled-channel $\bar{K}N - \pi \Sigma$ potential, reproducing all existing experimental data and suitable for using in an accurate few-body calculations, is constructed. Isospin breaking effects of direct inclusion of the…

Nuclear Theory · Physics 2009-11-19 J. Révai , N. V. Shevchenko

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

The introduction of nonlinearities in the Schr\"odinger equation has been considered in the literature as an effective manner to describe the action of external environments or mean fields. Here, in particular, we explore the nonlinear…

Quantum Physics · Physics 2024-03-08 David Navia , Ángel S. Sanz

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

Hard high-energy pion-nucleus bremsstrahlung, $\pi^- +A\to\pi^- +\gamma +A$, is studied in the Coulomb region, i.e. the small-angle region where the nuclear scattering is dominated by the Coulomb interaction. Special attention is focussed…

Nuclear Theory · Physics 2008-11-26 Göran Fäldt , Ulla Tengblad

A dispersive representation based on unitarity and analyticity is used to study the low energy $\gamma N \to \pi N\ \text{and}\ \gamma^* N \to \pi N$ partial wave amplitudes. Final state interactions of the $\pi N$ system are critical to…

High Energy Physics - Phenomenology · Physics 2022-03-01 Xiong-Hui Cao , Yao Ma

A model for high-energy, small-angle pion-nucleus bremsstrahlung, $ \pi^- +A\to\pi^- +\gamma +A$,is developed within the Glauber diffraction theory. Special attention is focussed on the possibility of measuring the pion polarisability in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Göran Fäldt
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