2004/04/26 by T. Barford, Thomas Barford, Barford, T.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/0404072
162 pages, 26 figs, PhD thesis (Advisor: M. C. Birse)
arxiv created 2004/04/26 · openalex publication_date 2004/04/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the distorted wave renormalisation group (DWRG), a tool for constructing power-counting schemes in systems where some diagrams must be summed to all orders. We solve the DWRG eqaution for a variety of long-range potentials including the Coulomb, Yukawa and inverse square. We derive established results in the case of the Yukawa and Coulomb potentials and new results in the case of the inverse square potential. We generalise the DWRG to systems of three-bodies and use it to find the power-counting for the three-body force in the KSW EFT. This power-counting corresponds to perturbations in the renormalisation group about a limit-cycle. We also derive equations for the LO and NLO KSW EFT distorted waves for three bosons and for three nucleons in the neutron-deuteron spin 1/2 channel. The physical results in the nuclear system agree well, once the LO three-body force is determined, with predictions of more sophistocated potential models.