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Title: 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:
 [1];  [2]; ORCiD logo [3]; ORCiD logo [4]; ORCiD logo [5]; ORCiD logo [6];  [6]; ORCiD logo [7];  [8]; ORCiD logo [9];  [10]
  1. European Organization for Nuclear Research (CERN), Geneva (Switzerland)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  3. Indiana Univ., Bloomington, IN (United States). Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Univ. of Cracow, Krakow (Poland)
  4. Univ. Nacional Autonoma de Mexico (Mexico)
  5. Univ. Complutense de Madrid (Spain)
  6. Univ. of Edinburgh (United Kingdom)
  7. European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*) and Fondazione Bruno Kessler, Villazzano (Trento) (Italy); INFN Sezione di Genova (Italy)
  8. Indiana Univ., Bloomington, IN (United States)
  9. Syracuse Univ., NY (United States)
  10. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Indiana Univ., Bloomington, IN (United States)
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; TRN: US2103991
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 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}
}

Journal Article:
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https://doi.org/10.1103/PhysRevD.101.034033

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