A ug 1 99 6 Three - body halos . V .
نویسنده
چکیده
The hypertriton structure is studied in a three-body model. We use a recently developed method to solve the Faddeev equations in coordinate space. The long distances are treated carefully to achieve convergence and high accuracy. We use several sets of two-body interactions which reproduce the deuteron properties and provide the low-energy Λ-nucleon scattering data close to that of two of Nijmegen potentials. We show that the details of the potentials are unimportant unless the accuracy of the hypertriton binding energy is required to be better than 50 keV. We find that the most significant parameter of the Λ-nucleon interaction, the singlet s-wave scattering length, must be within 10% of 1.85 fm, when the Λ-separation energy from the deuteron is about 130 keV. Other details of the Λ-nucleon interaction are less important for the hypertriton structure. The scattering length and effective range are computed for scattering of a Λ-particle on a deuteron. The folding model reducing the three-body problem to a two-body problem is investigated in this context and found to be inadequate.
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A method to study weakly bound three-body quantum systems in two dimensions is formulated in coordinate space for short-range potentials. Occurrences of spatially extended structures (halos) are investigated. Bor-romean systems are shown to exist in two dimensions for a certain class of potentials. An extensive numerical investigation shows that a weakly bound two-body state gives rise to two w...
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