64,660 research outputs found
The Continuum Structure of the Borromean Halo Nucleus 11Li
We solve the Faddeev equations for 11Li (n+n+9Li) using hyperspherical
coordinates and analytical expressions for distances much larger than the
effective ranges of the interactions. The lowest resonances are found at 0.65
MeV (1/2+, 3/2+, 5/2+) and 0.89 MeV (3/2+, 3/2-) with widths of about 0.35 MeV.
A number of higher-lying broader resonances are also obtained and related to
the Efimov effect. The dipole strength function and the Coulomb dissociation
cross section are also calculated. PACS numbers: 21.45.+v, 11.80.Jy, 21.60.GxComment: 10 pages, LaTeX, 3 postscript figures, psfig.st
Square-well solution to the three-body problem
The angular part of the Faddeev equations is solved analytically for s-states
for two-body square-well potentials. The results are, still analytically,
generalized to arbitrary short-range potentials for both small and large
distances. We consider systems with three identical bosons, three non-identical
particles and two identical spin-1/2 fermions plus a third particle with
arbitrary spin. The angular wave functions are in general linear combinations
of trigonometric and exponential functions. The Efimov conditions are obtained
at large distances. General properties and applications to arbitrary potentials
are discussed. Gaussian potentials are used for illustrations. The results are
useful for numerical calculations, where for example large distances can be
treated analytically and matched to the numerical solutions at smaller
distances. The saving is substantial.Comment: 34 pages, LaTeX file, 9 postscript figures included using epsf.st
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