RECOVERY OF QUARKONIUM SYSTEM FROM EXPERIMENTAL-DATA

For confining potentials of the form q(r) = r + p(r), where p(r) decay s rapidly and is smooth for r > 0, it is proved that q(r) can be uniqu ely recovered from the data (E-j,s(j))v(j=1,2,3...). Here E-j are ener gies of bound states and s(j) are the values u(j)(1)(0), where u(j)(r) are the normalized eigenfunctions, integral(0)(infinity)u(j)(2) dr = 0. An algorithm is given for finding q(r) from the knowledge of few fi rst data corresponding to 1 less than or equal to j less than or equal to J assuming that the rest of the data are the same as for q(0)(r) : = r.