Harmonic-Oscillator-Based Effective Theory
Nuclear Theory
2017-08-23 v1
Abstract
I describe harmonic-oscillator-based effective theory (HOBET) and explore the extent to which the effects of excluded higher-energy oscillator shells can be represented by a contact-gradient expansion in next-to-next-to-leading order (NNLO). I find the expansion can be very successful provided the energy dependence of the effective interaction, connected with missing long-wavelength physics associated with low-energy breakup channels, is taken into account. I discuss a modification that removes operator mixing from HOBET, simplifying the task of determining the parameters of an NNLO interaction.
Cite
@article{arxiv.nucl-th/0608017,
title = {Harmonic-Oscillator-Based Effective Theory},
author = {W. C. Haxton},
journal= {arXiv preprint arXiv:nucl-th/0608017},
year = {2017}
}
Comments
15 pages, 5 figures; from 3rd ANL/MSU/INT/JINA RIA Workshop