Generating a resonance-like structure in the reaction $$B_c\rightarrow B_s \pi \pi $$ B c → B s π π

Abstract

We investigate the process B + c → B 0 s π + π 0 via BK * rescattering. The kinematic conditions for triangle singularities are perfectly satisfied in the rescattering diagrams. A resonance-like structure around the BK threshold, which we denote X (5777), is predicted to be present in the invariant mass distribution of B 0 s π + . Because the relative weak BK (I = 1) interaction does not support the existence of a dynamically generated hadronic molecule, X (5777) can be identified as a pure kinematical effect due to the triangle singularity. Its observation may help to establish a nonresonance interpretation for some XY Z particles.

Collision of particles near charged MSW black hole in 2 + 1 dimensions

“…We study CM energy for two colliding particles with rest masses M 1 , M 2 ; angular momenta L 1 , L 2 per unit mass and energy E 1 , E 2 per unit mass. Therefore, we consider that two particles are at the same space-time point having the three momenta [4] where p a i and u a i are the three momenta and the three velocity of particles i (i = 1, 2). Now, the sum of these two momenta is…”

Role of the triangle singularity in Λ(1405) production in the π−p→K0πΣBayar1, Pavao2, Sakai3 et al. 2018Phys. Rev. C220170View full textAdd to dashboardCite

“…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.…”

On coupled-channel dynamics in the presence of anomalous thresholds

“…We should briefly summarize the general work flow how to derive the phase-shifts and in-elasticity parameters for a given model interaction. Given the driving termsÛ (s) and U nm (s) together with u L n (s) and u R n (s) as specified in (44,73,(74)(75)(76)(77) we use the linear set of equations (54) to determine the functionς ab (s) for s > (m b + M b ) 2 . This is a numerical stable task since all driving terms in (54) are sufficiently regular in the needed domain.…”

“…The physical relevance of anomalous threshold effects has been discussed recently in [39][40][41][42][43][44]. To the best knowledge of the authors there is no established approach available that can treat such phenomena in coupled-channel systems reliably.…”