Calculation of loosely bound levels for three-body quantum systems using hyperspherical coordinates with a mapping procedure
Abbreviated Journal Title
Phys. Rev. A
DISCRETE VARIABLE REPRESENTATION; BOSE-EINSTEIN CONDENSATION; POTENTIAL-ENERGY SURFACE; MAPPED FOURIER METHOD; LONG-RANGE MOLECULES; PHOTOASSOCIATIVE SPECTROSCOPY; ROVIBRATIONAL ANALYSIS; GRID; REPRESENTATIONS; COLD COLLISIONS; EFIMOV STATES; Optics; Physics, Atomic, Molecular & Chemical
In view of modelization of experiments involving cold atoms and molecules, we develop a method that allows us to calculate weakly bound levels of triatomic molecules. The method combines (1) the hyperspherical coordinates to describe interparticle motion in the three-body system, (2) the solution of the Schrodinger equation in two steps: determination of adiabatic states for a fixed hyper-radius and then solution of a set of coupled hyper-radial equations using the slow variable representation of Tolstikhin [J. Phys. B: At. Mol. Opt. Phys. 29, L389 (1996)], (3) and a mapping procedure that reduces considerably the number of basis functions needed to represent wave functions of weakly bound levels. We apply the method to the three different systems: the helium trimer He-4(3), isotopomers of the H-3(+) ion, and finally a model three-body problem involving three nucleons. For all these systems, we show that the suggested method provides accurate results.
Physical Review A
"Calculation of loosely bound levels for three-body quantum systems using hyperspherical coordinates with a mapping procedure" (2006). Faculty Bibliography 2000s. 6309.