Resonances in $Λd$ Scattering and the $Σ$-hypertriton

Details Resonances in $Λd$ Scattering and the $Σ$-hypertriton Resonances in $Λd$ Scattering and the $Σ$-hypertriton

1992-10-08

arxiv.org/abs/nucl-th/9210005v1

Physics

Nuclear Physics

Nuclear Theory

34 pages

Scientific paper

10.1103/PhysRevC.47.1000

Using separable $NN$ and $\Lambda N$-$\Sigma N$ potentials in the Faddeev equations, we have demonstrated that the predicted enhancement in the $\Lambda d$ cross section near the $\Sigma d$ threshold is associated with resonance poles in the scattering amplitude. The positions of these poles, on the second Riemann sheet of the complex energy plane, are determined by examining the eigenvalues of the kernel of the Faddeev equations. This suggests that for a certain class of $\Lambda N$-$\Sigma N$ potentials we can form a $\Sigma$-hypertriton with a width of about 8 MeV.

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