Recovery of quarkonium system from experimental data

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Recovery of Quarkonium System from Experimental Data

For confining potentials of the form q(r) = r+ p(r), where p(r) decays rapidly and is smooth for r > 0, it is proved that q(r) can be uniquely recovered from the data {Ej , sj}∀j=1,2,3..... Here Ej are energies of bound states and sj are the values u ′ j(0), where uj(r) are the normalized eigenfunctions, ∫∞ 0 u 2 jdr = 0. An algorithm is given for finding q(r) from the knowledge of few first da...

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ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and General

سال: 1998

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/31/15/002