TY - JOUR
T1 - Dalitz-plot decomposition for three-body decays
AU - Mikhasenko, M.
AU - Albaladejo, M.
AU - Bibrzycki,
AU - Fernández-Ramírez, C.
AU - Mathieu, V.
AU - Mitchell, S.
AU - Pappagallo, M.
AU - Pilloni, A.
AU - Winney, D.
AU - Skwarnicki, T.
AU - Szczepaniak, A. P.
N1 - Funding Information:
We thank Daniele Marangotto and Anton Poluektov for several motivating discussions on the issue of anisotropy. The first ideas on this project were presented at the HPSS (Hadron Physics Summer School) in Jülich, and we would like to thank Sebastian Neubert, the students joining the working group, and organizers of the school. This work is supported by U.S. Department of Energy Grants No. DE-AC05-06OR23177 and No. DE-FG02-87ER40365, the U.S. National Science Foundation under Grants No. PHY-1415459 and No. PHY-1803004, by PAPIIT-DGAPA (UNAM, Mexico) Grant No. IA101819, by CONACYT (Mexico) Grants No. 251817 and No. A1-S-21389, and by Polish Science Center (NCN) Grant No. 2018/29/B/ST2/02576. We acknowledge support from STFC (United Kingdom). V. M. is supported by Comunidad Autónoma de Madrid through Programa de Atracción de Talento Investigador (Modalidad 1). The research was also supported by the Munich Institute for Astro- and Particle Physics (MIAPP) which is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy—EXC-2094–390783311.
Publisher Copyright:
© 2020 authors. Published by the American Physical Society.
PY - 2020/2/1
Y1 - 2020/2/1
N2 - 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 Zc(4430), the pentaquarks Pc, and the intriguing Λc+→pK-π+ decay.
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 Zc(4430), the pentaquarks Pc, and the intriguing Λc+→pK-π+ decay.
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U2 - 10.1103/PhysRevD.101.034033
DO - 10.1103/PhysRevD.101.034033
M3 - Article
AN - SCOPUS:85082817962
SN - 2470-0010
VL - 101
JO - Physical Review D
JF - Physical Review D
IS - 3
M1 - 034033
ER -