Dalitz-plot decomposition for three-body decays
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, 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 Λ$$^+_c$$ → pK– π+ decay.
- Authors:
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)
- OSTI Identifier:
- 1602381
- Alternate Identifier(s):
- OSTI ID: 1602421
- Report Number(s):
- JLAB-THY-19-3070; DOE/OR/23177-4794
Journal ID: ISSN 2470-0010; PRVDAQ; 034033
- Grant/Contract Number:
- AC05-06OR23177; FG02-87ER40365; PHY-1415459; PHY-1803004; IA101819; 251817; A1-S-21389; 2018/29/B/ST2/02576; EXC-2094–390783311
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 3; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Hadron-hadron interactions; Particle decays; Particle production; Scattering amplitudes; Particle properties; Polarization
Citation Formats
Mikhasenko, M., Albaladejo, M., Bibrzycki, Ł., Fernández-Ramírez, C., Mathieu, V., Mitchell, S., Pappagallo, M., Pilloni, A., Winney, D., Skwarnicki, T., and Szczepaniak, A. P. Dalitz-plot decomposition for three-body decays. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.034033.
Mikhasenko, M., Albaladejo, M., Bibrzycki, Ł., Fernández-Ramírez, C., Mathieu, V., Mitchell, S., Pappagallo, M., Pilloni, A., Winney, D., Skwarnicki, T., & Szczepaniak, A. P. Dalitz-plot decomposition for three-body decays. United States. https://doi.org/10.1103/PhysRevD.101.034033
Mikhasenko, M., Albaladejo, M., Bibrzycki, Ł., Fernández-Ramírez, C., Mathieu, V., Mitchell, S., Pappagallo, M., Pilloni, A., Winney, D., Skwarnicki, T., and Szczepaniak, A. P. Thu .
"Dalitz-plot decomposition for three-body decays". United States. https://doi.org/10.1103/PhysRevD.101.034033.
@article{osti_1602381,
title = {Dalitz-plot decomposition for three-body decays},
author = {Mikhasenko, M. and Albaladejo, M. and Bibrzycki, Ł. and Fernández-Ramírez, C. and Mathieu, V. and Mitchell, S. and Pappagallo, M. and Pilloni, A. and Winney, D. and Skwarnicki, T. and Szczepaniak, A. P.},
abstractNote = {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 Λ$^+_c$ → pK– π+ decay.},
doi = {10.1103/PhysRevD.101.034033},
journal = {Physical Review D},
number = 3,
volume = 101,
place = {United States},
year = {2020},
month = {2}
}
https://doi.org/10.1103/PhysRevD.101.034033
Web of Science
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