N to Delta Transition Amplitudes from QCD Sum Rules

A calculation of the N to Delta electromagnetic transition amplitudes using the method of QCD sum rules is presented. First, the method is demonstrated using the computation of the proton mass as an example. Next the magnetic moments of octet baryons are re-examined in the external field method. Then the same methodologyis applied to the entire family of transitions from the baryon octet to decuplet. The complete set of QCD sum rules derived for the process are analyzed in conjunction with the corresponding mass sum rules using a Monte-Carlo-based analysis procedure. The performance of each of the sum rules is examined using the criteria of OPE convergence and ground-state dominance, along with the role of the transitions in intermediate states. Individual contributions from the u, d and s quarks are isolated and their implications in the underlying dynamics are explored. Valid sum rules are identified and their predictions are obtained. The results are compared with experiment and other calculations. Finally, a Mathematica package developed in the project to carry out the construction and analysis is presented.

Author

• Wang, Lai

Language

• en

Keyword

• N to Delta transition
• QCD sum rule method

Date created

• 2011

Type of Work

• Dissertation

License

• All rights reserved

Rights statement

• In Copyright

GW Unit

• Physics

Degree

• D.Sc.

Advisor

• Lee, Frank X

Committee Member(s)

• Alexandru, Andrei
• Singh, Janardan P
• Parke, William
• Eskandarian, Ali
• Micherdzinska, Anna

Persistent URL

•  https://scholarspace.library.gwu.edu/etd/t148fh22s