Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2006-08-06
Physics
Nuclear Physics
Nuclear Theory
15 pages, 5 figures; from 3rd ANL/MSU/INT/JINA RIA Workshop
Scientific paper
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.
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