58 research outputs found
Jost Function for Singular Potentials
An exact method for direct calculation of the Jost function and Jost
solutions for a repulsive singular potential is presented. Within this method
the Schrodinger equation is replaced by an equivalent system of linear
first-order differential equations, which after complex rotation, can easily be
solved numerically. The Jost function can be obtained to any desired accuracy
for all complex momenta of physical interest, including the spectral points
corresponding to bound and resonant states. The method can also be used in the
complex angular-momentum plane to calculate the Regge trajectories. The
effectiveness of the method is demonstrated using the Lennard-Jones (12,6)
potential. The spectral properties of the realistic inter-atomic He4-He4
potentials HFDHE2 and HFD-B of Aziz and collaborators are also investigated.Comment: 12 pages, latex, 2 eps-figures, submitted to Phys.Rev.
The ^4He trimer as an Efimov system
We review the results obtained in the last four decades which demonstrate the
Efimov nature of the He three-atomic system.Comment: Review article for a special issue of the Few-Body Systems journal
devoted to Efimov physic
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