Determination of the Sigma-Pi scattering lengths in the weak Lambda c decay using Belle data / von Manfred Berger
VerfasserBerger, Manfred
Begutachter / BegutachterinMarton, Johann
Umfang75 S. : Ill., zahlr. graph. Darst.
HochschulschriftWien, Techn. Univ., Dipl.-Arb., 2015
Zsfassung in dt. Sprache
Schlagwörter (EN)Belle data analysis / Sigma-pion scattering length / Lambda_c branching ratio
URNurn:nbn:at:at-ubtuw:1-88242 Persistent Identifier (URN)
 Das Werk ist frei verfügbar
Determination of the Sigma-Pi scattering lengths in the weak Lambda c decay using Belle data [13.22 mb]
Zusammenfassung (Englisch)

This thesis deals with the analysis of the weak decays of Lambda_c -> Sigma pion pion using Belle data with the ultimate purpose of extracting scattering lengths of Sigma and pion. The Sigma-pion scattering length is one of the important missing experimental inputs to understand the Lambda(1405) state, an exotic resonance which can be considered as a quasi-bound state of proton and kaon. A determination of a scattering length of short lived particle is diifficult since a direct scattering experiment is not possible. In the case of the Sigma-pion system, due to the final state interaction, isospin violation and interference, threshold cusps will appear in the Sigma-pion spectra. The strength of the cusp effect reflects the Sigma-pion scattering lengths. The scope of this thesis is limited to the Monte Carlo studies that precede the measurement of real data. The reconstruction of Lambda_c in Sigma^+pi^+pi^-, Sigma^+pi^0pi^0 and Sigma^0pi^+pi^0 decay modes as well as the determination of branching ratios of those decay modes relative to the reference channel pKpi is presented. Finally the MC Sigma-pi spectrum is compared with theoretical predictions.