RT Journal Article
T1 Dalitz-plot decomposition for three-body decays
A1 Mikhasenko, M.
A1 Albaladejo, M.
A1 Bibrzycki, Ł.
A1 Fernández Ramírez, C.
A1 Mathieu, V.
A1 Mitchell, S.
A1 Pappagallo, M.
A1 Pilloni, A.
A1 Winney, D.
A1 Skwarnicki, T.
A1 Szczepaniak, A. P.
AB We present a general formalism to write the decay amplitude for multibody reactions with explicit separation of the rotational degrees of freedom, which are well controlled by the spin of the decay particle, and dynamic functions on the subchannel invariant masses, which require modeling. Using the three-particle kinematics we demonstrate the proposed factorization, named the Dalitz-plot decomposition. The Wigner rotations, which are subtle factors needed by the isobar modeling in the helicity framework, are simplified with the proposed decomposition. Consequently, we are able to provide them in an explicit form suitable for the general case of arbitrary spins. The only unknown model-dependent factors are the isobar line shapes that describe the subchannel dynamics. The advantages of the new decomposition are shown through three examples relevant for the recent discovery of the exotic charmonium candidate Z c ( 4430 ) , the pentaquarks P c , and the intriguing Λ + c → p K − π + decay.
PB APS Physics
SN 2470-0010
YR 2020
FD 2020-02-26
LK https://hdl.handle.net/20.500.14352/7254
UL https://hdl.handle.net/20.500.14352/7254
LA eng
NO U.S. Department of Energy
NO U.S. National Science Foundation
NO PAPIIT-DGAPA (UNAM, Mexico)
NO CONACYT (Mexico)
NO Polish Science Center (NCN)
NO Munich Institute for Astro- and Particle Physics (MIAPP)
DS Docta Complutense
RD 2 may 2024