$ΛNN$ and $ΣNN$ systems at threshold: II. The effect of D waves

Garcilazo, H.; Valcarce, A.; Fernandez-Carames, T.

$ΛNN$ and $ΣNN$ systems at threshold: II. The effect of D waves

Authors

Garcilazo, H.

Valcarce, A.

Fernandez-Carames, T.

Description

Using the two-body interactions obtained from a chiral constituent quark model we study all $ΛNN$ and $ΣNN$ 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 $ΛN$ spin-triplet scattering length a_{1/2,1}. Using the hypertriton binding energy we find a narrow interval for the possible values of the $ΛN$ spin-singlet scattering length a_{1/2,0}. We found that the $ΣNN$ system has a quasibound state in the (I,J) = (1,1/2) channel very near threshold with a width of about 2.1 MeV.
19 pages, 4 tables, 6 figures. Accepted for publication in Phys. Rev. C