Triangle singularities in $B^{-} \rightarrow K^{-}\pi^{-}D^{+}_{s0}$ B - → K - π -

Role of the triangle singularity in Λ(1405) production in the π−p→K0πΣBayar1, Pavao2, Sakai3 et al. 2018Phys. Rev. CSelf Cite220170View full textAdd to dashboardCite

“…As mentioned in Ref. [56], the peak of the imaginary part is responsible for the triangle singularity.…”

“…This is related to this threshold and a detailed study of the threshold effect and the TS, going to the limit of small width, was conducted in Ref. [56] where a triangle diagram with K * DK intermediate states was studied. It was indeed found that Re(t T ) had a bump associated with the K * D threshold while Im(t T ) had a peak stemming from a triangle singularity.…”

“…) [56], the DK (D * K) in the triangle loop goes into D s0 (D s1 ), which is dynamically generated from the DK (D * K) and has a large coupling to this channel [58,59]. Then, the observation of the peak from the triangle mechanism would give additional support to the hadronic molecular picture of these states.…”

“…The studies of many processes including the triangle singularity elucidate the possible effect of the triangle singularity on the hadron properties, e.g., the η(1405) decay into π 0 a 0 or π 0 f 0 [44][45][46], the possible origin of Z c (3900) [47][48][49], the speculation on the pentaquark candidate P c [50][51][52] (see Ref. [53] for a critical discussion to the light of the preferred experimental quantum numbers [54]), the B s decay into Bππ [55] and B − decays [56,57]. Here, we note that the strength of the triangle peak is tightly connected with the coupling strength of the two hadrons merging into a third one.…”

“…In Ref. [56] it is shown that the effect of neglecting the 0 component goes as (p K * /m K * ) 2 , with a coefficient in front that renders this correction negligible.…”