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29 March 2024
 
  » arxiv » nucl-th/0010006

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Unified optical-model approach to low-energy antiproton annihilation on nuclei and to antiprotonic atoms
C.J. Batty ; E. Friedman ; A. Gal ;
Date 2 Oct 2000
Journal Nucl.Phys. A689 (2001) 721-740
Subject nucl-th
AffiliationRAL), E. Friedman (Hebrew U), A. Gal (Hebrew U
AbstractA successful unified description of $ar p$ nuclear interactions near E=0 is achieved using a $ar p$ optical potential within a folding model, $V_{{ m opt}} sim ar v * { ho}$, where a $ar p p$ potential $ar v$ is folded with the nuclear density $ ho$. The potential $ar v$ fits very well the measured $ar p p$ annihilation cross sections at low energies ($p_L < 200$ MeV/c) and the $1s$ and $2p$ spin-averaged level shifts and widths for the $ar p$H atom. The density-folded optical potential $V_{{ m opt}}$ reproduces satisfactorily the strong-interaction level shifts and widths over the entire periodic table, for $A > 10$, as well as the few low energy $ar p$ annihilation cross sections measured on Ne. Both $ar v$ and $V_{{ m opt}}$ are found to be highly absorptive, which leads to a saturation of reaction cross sections in hydrogen and on nuclei. Predictions are made for $ar p$ annihilation cross sections over the entire periodic table at these very low energies and the systematics of the calculated cross sections as function of $A$, $Z$ and $E$ is discussed and explained in terms of a Coulomb-modified strong-absorption model. Finally, optical potentials which fit simultaneously low-energy $ar p - ^4$He observables for $E < 0$ as well as for $E > 0$ are used to assess the reliability of extracting Coulomb modified $ar p$ nuclear scattering lengths directly from the data. The relationship between different kinds of scattering lengths is discussed and previously published systematics of the $ar p$ nuclear scattering lengths is updated.
Source arXiv, nucl-th/0010006
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