English

Fully Perturbative Calculation of $nd$ Scattering to Next-to-next-to-leading-order

Nuclear Theory 2015-04-21 v2

Abstract

We introduce a new technique to calculate perturbative corrections to neutron-deuteron (ndnd) scattering that does not require calculation of the full off-shell scattering amplitude. Its relation to the more familiar partial-resummation technique is explained. Also included is a calculation of the SD-mixing term that occurs at next-to-next-to-leading-order (NNLO) in pionless effective field theory EFTπ̸\mathrm{EFT}_{\not{\pi}}\xspace. Using the new technique with the SD-mixing term a complete strictly perturbative phase-shift analysis of ndnd scattering is performed up to NNLO including eigen-phases and mixing angles. This is compared to potential model calculations and good agreement is found with the eigen-phases and some of the mixing angles at low energies.

Keywords

Cite

@article{arxiv.1305.0283,
  title  = {Fully Perturbative Calculation of $nd$ Scattering to Next-to-next-to-leading-order},
  author = {Jared Vanasse},
  journal= {arXiv preprint arXiv:1305.0283},
  year   = {2015}
}

Comments

39 pages, 68 figures