Publications
Publication Information
| Title | Dalitz-plot decomposition for three-body decays |
| Authors | Mikhail Mikhasenko, Miguel Albaladejo, Lukasz Bibrzycki, CESAR FERNANDEZ RAMIREZ, Vincent Mathieu, Sara Mitchell, Marco Pappagallo, Alessandro Pilloni, Daniel Winney, Tomasz Skwarnicki, Adam Szczepaniak |
| JLAB number | JLAB-THY-19-3070 |
| LANL number | (None) |
| Other number | DOE/OR/23177-4794 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | DE-FG02-87ER40365 PHY-1415459 |
|
Journal Compiled for Physical Review D Volume 101 Page(s) 034033 Refereed | |
| Publication Abstract: | 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, that 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 lineshapes 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 Zc(4430), the pentaquarks Pc, and the intriguing Lambda_c+ -> p K- pi+ decay. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.101.034033 |
| Accepted Manuscript: | PhysRevD.101.034033.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |