Eur. Phys. J. A 11, 79-85 (2001)
Spectral analysis of 208Pb muonic atom
F.-Z. Ighezou1, R.J. Lombard2 and J. Mares31 Université des Sciences et de la Technologie Houari Boumédienne, BP 32 El-Alia, 16111 Bab Ezzouar, Alger, Algeria
2 Groupe de Physique Théorique, Institut de Physique Nucléaire, 91406 Orsay Cedex, France
3 Nuclear Physics Institute, 250 68 Rez, Czech Republic
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(Received: 18 December 2000 / Revised version: 29 March 2001 Communicated by P. Schuck)
Abstract
We have applied to the 208Pb muonic atom a series of recurrence
relations relating the moments of the ground-state density and the
energy differences between the 1s level and the states of the 
line. The large amount of precise experimental data and the electromagnetic
character of the interaction allow a detailed test of the method for
determining the ground-state density and reconstructing the local equivalent
potential. Though the present work is limited to the study of the
efficiency for a given trial density, it results in a semi-quantitative
analysis with an accuracy better than 1% .
36.10.Gv - Mesonic atoms and molecules, hyperonic atoms and molecules.
03.65.Ge - Solutions of wave equations: bound states.
02.30.Zz - Inverse problems.
© Società Italiana di Fisica, Springer-Verlag 2001
