$$B^+\rightarrow K^-\pi ^+\pi ^+$$ B + → K - π + π + : Three-Body Final State Interactions and $$K\pi $$ K π Isospin States

Charmless non-leptonic B decays

“…These type of final-state interactions are often invoked as yet another source of non-perturbative strong phases which may be relevant to describe CP violation across the Dalitz plane. These effects can be analyzed by means of dispersive methods, of may be modeled separately [56,57,58,59].…”

Global CP asymmetries in charmless three-body $B$ decays with final state interactions

“…Furthermore, we expect that the channels K ± K0 π 0 and π ± K 0 π 0 are weakly coupled to the other four channels with ∆S = 0 and ∆S = 1, respectively, as the threebody re-scattering that couple these two states with the other four should be suppressed, as it requires two-loop processes (see e.g. [38]). Removing them, we have for ∆S = 0: ∆ΓCP (π ± K + K − )+∆ΓCP (π ± K 0 K0 )+∆ΓCP (π ± π + π − )+∆ΓCP (π ± π 0 π 0 ) = 0 .…”

Three-boson bound states in Minkowski space with contact interactions

“…The BS equation and LFD approaches have already been used as a suitable framework in phenomenological applications. For instance, the calculation of the LF amplitudes in a simplified pion model with strongly bound constituent quarks was done through the solution of the BS equation directly in Minkowski space [14] and also the final state interaction in heavy meson decays was studied using a relativistic LF model [15,16].…”