An analysis of pion-nucleus scattering lengths within an α-cluster model

doi:10.1016/0375-9474(74)90509-0

Nuclear Physics A

Volume 231, Issue 3, 21 October 1974, Pages 455-461

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Abstract

Pion-nucleus s-wave scattering lengths are calculated from a multiple scattering series in terms of the π-α scattering length. Agreement on the level of 10–20% with the values obtained from mesic-atom data is achieved for all nuclei with A ≦ 20. This lends weight to the speculation that pion absorption on light nuclei takes place primarily on α-particle substructures.

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The new era in X-ray spectroscopy of exotic atoms is based on high-resolution reflection-type crystal spectrometers, state-of-the-art X-ray detectors, and sophisticated set-ups to stop the negatively charged particles provided by modern accelerator facilities. Measurements on the elementary systems formed with hydrogen and helium isotopes yield a precision unprecedented in low-energy strong-interaction physics. Spin–spin and spin–orbit effects were identified in antiprotonic hydrogen and hadronic effects were observed for the first time in antiprotonic deuterium. In kaonic hydrogen strong-interaction effects could finally be identified unambiguously. For the pion–proton and pion–deuteron system the measurements reach an accuracy for the hadronic shift of a few per mill, which demands further theoretical effort to extract the scattering lengths at the same level. To allow a precise determination of the pion–nucleon coupling constant, which constitutes a stringent test of the approach for quantum chromodynamics in the non-perturbative regime, a new series of measurements has been started aiming at an accuracy of 1% for the hadronic width in pionic hydrogen. The mass of the charged pion was re-measured by using light pionic and muonic atoms and the first direct observation of Coulomb explosion was achieved for exotic atoms. Tests of bound-state quantum electrodynamics became possible at an accuracy which in turn can be used now to establish X-ray standards in the few keV range by the pionic atoms themselves.
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^†: On leave from University College, London.

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An analysis of pion-nucleus scattering lengths within an α-cluster model

Abstract

Ann. of Phys.

Ann. of Phys.

Nuovo Cim. Lett.

Nuovo Cim.

Phys. Lett.

JETP (Sov. Phys.)

Phys. Lett.

Phys. Rev.

Ann. de Phys.

Nucl. Phys.

Phys. Lett.

Phys. Lett.

Phys. Rev. Lett.

Thèse présentée à l'Université de Grenoble pour obtenir le grade de Docteur ès Sciences