Calculation of the binding energy and of the parameters of low-energy scattering in the Lambda n p system

2000
7 pages
Published in:
  • Phys.Atom.Nucl. 63 (2000) 223-228,
  • Yad.Fiz. 63 (2000) 278-284

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Abstract: (Springer)
The cluster-reduction method is used to solve the differential Faddeev equations for S=1/2, T=0 and S=3/2, T=0 spin-isospin states of the Λnp system in the s-wave approximation. The NN interaction is simulated on the basis of the MT I–III potential model, and the ΛN potential is set to V ΛN =V NN /2. This simple option makes it possible to reproduce faithfully the binding energy of the hypertriton Λ 3 H. The doublet and quadruplet Λd scattering lengths and the low-energy phase shifts are calculated. It is shown that the effective-range approximation is applicable to the cases of doublet and quadruplet scattering.
  • tritium: hypernucleus
  • Lambda: hypernucleus
  • binding energy
  • three-body problem
  • Lambda deuteron: scattering length
  • partial wave analysis
  • approximation: effective range
  • tritium: form factor
  • wave function
  • numerical calculations
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