Lambda NN and Sigma NN systems at threshold: II. The Effect of D waves

Aug, 2007
19 pages
Published in:
  • Phys.Rev.C 76 (2007) 034001
e-Print:

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Abstract: (arXiv)
Using the two-body interactions obtained from a chiral constituent quark model we study all ΛNN\Lambda NN and ΣNN\Sigma NN states with I=0,1,2 and J=1/2,3/2 at threshold, taking into account all three-body configurations with S and D wave components. We constrain further the limits for the ΛN\Lambda N spin-triplet scattering length a_{1/2,1}. Using the hypertriton binding energy we find a narrow interval for the possible values of the ΛN\Lambda N spin-singlet scattering length a_{1/2,0}. We found that the ΣNN\Sigma NN system has a quasibound state in the (I,J) = (1,1/2) channel very near threshold with a width of about 2.1 MeV.
  • 12.39.Jh
  • 21.45.+v
  • 13.75.Ev
  • nucleon hyperon: interaction
  • Lambda
  • Sigma
  • nucleon nucleon: interaction
  • quark: constituent
  • symmetry: chiral
  • baryon: bound state