Harmonic-Oscillator-Based Effective Theory

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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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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