# Residual correlations between decay products of $\pi^0\pi^0$ and $p\Sigma^0$ systems

Abstract : Residual correlations between decay products due to a combination of both correlations between parents at small relative velocities and small decay momenta are discussed. Residual correlations between photons from pion decays are considered as a new possible source of information on direct photon fraction. Residual correlations in $p\gamma$ and $p\Lambda$ systems due to $p\Sigma^0$ interaction in final state are predicted based on the $p\Sigma^0$ low energy scattering parameters deduced from the spin-flavour SU$_6$ model by Fujiwara et al. including effective meson exchange potentials and explicit flavour symmetry breaking to reproduce the properties of the two-nucleon system and the low-energy hyperon-nucleon cross section data. The $p\gamma_{\Sigma^0}$ residual correlation is concentrated at $k^* \approx 70$ Mev/$c$ and its shape and intensity appears to be sensitive to the scattering parameters and space-time dimensions of the source. The $p\Lambda_{\Sigma^0}$ residual correlation recovers the negative parent $p\Sigma^0$ correlation for $k^* > 70$ Mev/$c$. The neglect of this negative residual correlation would lead to the underestimation of the parent $p\Lambda$ correlation effect and to an overestimation of the source size.
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http://hal.in2p3.fr/in2p3-00143566
Contributor : Dominique Girod <>
Submitted on : Thursday, April 26, 2007 - 9:53:01 AM
Last modification on : Tuesday, January 8, 2019 - 1:47:09 PM

### Identifiers

• HAL Id : in2p3-00143566, version 1
• ARXIV : 0704.3290

### Citation

A. Stavinskiy, K. Mikhailov, B. Erazmus, R. Lednicky. Residual correlations between decay products of $\pi^0\pi^0$ and $p\Sigma^0$ systems. 2007. ⟨in2p3-00143566⟩

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