Eur. Phys. J. A 11, 79-85 (2001)

Spectral analysis of ²⁰⁸Pb muonic atom

F.-Z. Ighezou¹, R.J. Lombard² and J. Mares<sup>3

1</sup>  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

Lombard@ipno.in2p3.fr
mares@ujf.cas.cz

(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% .

PACS
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