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Dalitz Plot Analysis and Extraction of Spin Density Matrix Elements for the Ω → 3Π Decay

Title: A Dalitz Plot Analysis and Extraction of Spin Density Matrix Elements for the Ω → 3Π Decay.
Name(s): Zeoli, Christopher Paul, author
Crede, Volker, professor directing dissertation
Sura, Philip, university representative
Eugenio, Paul Michael, 1966-, committee member
Roberts, Winston, committee member
Adams, Todd, committee member
Florida State University, degree granting institution
College of Arts and Sciences, degree granting college
Department of Physics, degree granting department
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2016
Publisher: Florida State University
Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource (143 pages)
Language(s): English
Abstract/Description: At the Continuous Electron Beam Accelerator Facility (CEBAF) at Jefferson National Laboratory (JLab), $\omega$ vector-mesons were photo-produced off a fixed, liquid-hydrogen target during the 2009 run-period via the reaction $\gamma p \rightarrow p \omega$. The charged final-state particles from the $\omega$~resonance decays were detected by the CEBAF Large Acceptance Spectrometer (CLAS). With a combination of measurements which involved the use of time and energy-deposit counters as well as reconstructed drift chamber (DC) tracks, the 4-momenta and vertices of the initial- and charged final-state particles were determined. Subsequent to reconstruction, event selection, kinematic fitting, signal and background separation, and detector efficiency simulation of the data for the three-pion final-state, i.e. $\omega \rightarrow \pi^+~\pi^-~(\pi^0)$, the Florida State University (FSU) Experimental Hadronic Nuclear Group has extracted the differential production cross section.\\ \indent With such data and the measured differential cross section in hand, I have conducted a Dalitz plot analysis of the $\omega \rightarrow 3\pi$ decay in close cooperation with the Joint Physics Analysis Center (JPAC) at JLab. The decay probability density separates into angle-dependent and -independent factors: the Spin Density Distribution (SDD) which is proportional to the differential cross section, and the reduced decay distribution (RDD) which is proportional to the decay width, respectively. The Spin Density Matrix Elements (SDMEs) for an unpolarized beam were obtained from fitting the SDD. In addition, fits for two different RDDs, i.e. a Dalitz plot distribution and a JPAC distribution, have been underway. The former is a truncated polynomial expansion of Lorentz Invariant Dalitz plot variables. The latter was based on the isobar model of the $\omega$ decay. Having made use of sub-energy unitarity, this model accounts for both elastic and inelastic 3-body re-scattering effects. Plus, fitting this model to measured data is a first. A comparison through fit parameters of each reduced distribution is intended. Lastly, my results and as well as a discussion of future extensions to this study and the prospects for similar light-meson-decay analyses are concluded at the end of this thesis.\\
Identifier: FSU_FA2016_Zeoli_fsu_0071E_13456 (IID)
Submitted Note: A Dissertation submitted to the Department of Physics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Degree Awarded: Fall Semester 2016.
Date of Defense: October 18, 2016.
Keywords: Dalitz, Experimental, Hadronic, low-energy, Nuclear, Physics
Bibliography Note: Includes bibliographical references.
Advisory Committee: Volker Credé, Professor Directing Dissertation; Philip Sura, University Representative; Paul Eugenio, Committee Member; Winston Roberts, Committee Member; Todd Adams, Committee Member.
Subject(s): Physics
Nuclear physics
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Host Institution: FSU

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Zeoli, C. P. (2016). A Dalitz Plot Analysis and Extraction of Spin Density Matrix Elements for the Ω → 3Π Decay. Retrieved from