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This is the second article in which we study the rotating Morse potentialmodel for diatomic molecules using the tridiagonal J-matrix approach. Here, weimprove further the accuracy of computing the bound states and resonanceenergies for this potential model from the poles of the S-matrix for arbitraryangular momentum. The calculation is performed using an infinite squareintegrable basis that supports a tridiagonal matrix representation for thereference Hamiltonian, which is included in the computations analyticallywithout truncation. Our method has been applied to both the regular andinverted Morse potential with favorable results in comparison with availablenumerical data. We have also shown that the present method adds few significantdigits to the accuracy obtained from the finite dimensional approach (e.g. thecomplex rotation method). Moreover, it allows us to handle easily both analyticand non-analytic potentials as well as 1/r singular potentials.

The rotating Morse potential model for diatomic molecules in the J-matrix representation: II. The S-matrix approach