Faddeev calculations of theK¯NNsystem with a chirally motivatedK¯Ninteraction. I. Low-energy

Н. В. Шевченко

¹

,

J. Révai

²

On a Quasi-Bound State in the $$\pmb {{ K^- d}}$$ System Caused by Strong Interactions

“…It has an atomic state, kaonic deuterium, which is mainly caused by Coulomb attraction between K − and p, while the strong interactions give corrections to the binding energy and width (see [3] and references therein). But we did not find a pole caused by purely strong interactions corresponding to the quasi-bound state in K − d [4] similar to that one in the K − pp system. We demonstrated, that the strong quasi-bound state appears in the K − d system if the attraction in the isospin-zeroK N −K N part of the coupled-channelK N − πΣ potential is increased by hands.…”

“…The calculations with coupledK N N − πΣ N channels using the phenomenologicalK N potential with one-pole structure of the Λ(1405) resonance V 1,SIDD K N provide no quasi-bound state. In contrast to it, the models with two-pole structure: the phenomenological V 2,SIDD No K − d quasi-bound state was found in our previous work [4], where similar calculations were performed with V TSA N N potential. Therefore the particular model of nucleon-nucleon interaction, not only of antikaonnucleon one, can influence the result of the quasi-bound pole search in the K − d system.…”

“…It was demonstrated in [4] that gradual increasing of the absolute value of the isospin zero constant λKK I =0 of theK N − πΣ potential leads to the quasi-bound state appearance in the K − d system. And the necessary changes are small, as minimum, for the system described by the two-pole phenomenologicalK N potential.…”

“…They are: two phenomenological potentials with coupledK N and πΣ channels and one-or two-pole structure of the Λ(1405) resonance (V 1,SIDD K N and V 2,SIDD K N correspondingly), and the chirally motivatedK N −πΣ −πΛ potential V Chiral K N (with two-pole Λ(1405) structure). Parameters of the phenomenological and the chirally motivated potentials are presented in [4,9] correspondingly. Yamaguchi form-factors were used for the one-pole phenomenological and chirally motivated potentials together with theK N form-factor of the two-pole phenomenological potential.…”

Four-body Faddeev-type calculation of the $\bar{K}NNN$ system: Preliminary results

“…for the phenomenological potentials with one-and two-pole structure, correspondingly [13], and at z Chiral…”