A systematic description of low-energy observables in light nuclei is presented. The effective field theory formalism without pions is extended to: (1) predictions with next-to-leading-order accuracy for the 4-helium binding energy B(α), the triton charge radius, and the 3-helium-neutron scattering length; (2) phase shifts for neutron-deuteron scattering and α-neutron low-energy scattering at leading order; (3) the ground states of the 5-helium (with and without Coulomb interaction) and 6-helium isotopes up to next-to-leading order; The convergence from leading- to next-to-leading order of the theory is demonstrated for correlations between: (1) the triton binding energy B(t) and the triton charge radius; (2) B(t) and the 4-helium binding energy B(α); Furthermore, a correlation between B(t) and the scattering length in the singlet S-wave channel of neutron-helium-3 scattering is discovered, and a model-independent estimate for the trinucleon binding energy splitting is provided. The results provide evidence for the usefulness of the applied power-counting scheme, treating next-to-leading-order interactions nonperturbatively and four-nucleon interactions as, at least, one order higher. The 5- and 6-helium ground states are analyzed with a power-counting scheme which includes the momentum-dependent next-to-leading order vertices perturbatively. All calculations include a full treatment of the Coulomb interaction. The assessment of numerical uncertainties associated with the solution of the few-body equation of motion through the Resonating Group Method parallels the report of the results for light nuclei in order to establish this method as practical for the analysis of systems with up to six particles interacting via short-range interactions.
|Advisor:||Griesshammer, Harald W.|
|Commitee:||Alexandru, Andrei, Bedaque, Paulo F., Feldman, Gerald, Haberzettl, Helmut, Opper, Allena|
|School:||The George Washington University|
|School Location:||United States -- District of Columbia|
|Source:||DAI-B 72/01, Dissertation Abstracts International|
|Subjects:||Nuclear physics, Theoretical physics|
|Keywords:||Effective field, Few-nucleon systems, Light nuclei, Low-energy observables, Pionless|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
The supplemental file or files you are about to download were provided to ProQuest by the author as part of a
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
Copyright of the original materials contained in the supplemental file is retained by the author and your access to the
supplemental files is subject to the ProQuest Terms and Conditions of use.
Depending on the size of the file(s) you are downloading, the system may take some time to download them. Please be