Seminars & Lectures
* TITLE | Positivity of Dense Matter Effective Theory | ||||||
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* DATE / TIME | 2002-02-20, 3:00 p.m. (50 min.) | ||||||
* PLACE | Seoul Branch Office, 9th floor Seminar room | ||||||
* ABSTRACT | |||||||
He will extend the qualitative observations of the first lecture by demonstrating that traditional model space methods give the same low momentum effective theory that a renormalization group treatment of the two-body problem gives. Motivated by the notion of renormalization group flow, and the observation that low energy nuclear systems seem to possess a separation of scales, we argue that different \"realistic\" meson exchange potential models that share the same one pion tail but little else will renormalize to the same low-momentum effective potential as we decimate down to the energy scale (300-350 MeV lab) over which the potential models are constrained by experimental data. The resulting smooth and approximately unique effective potential is phase equivalent to the bare input model, and can be used directly in shell model calculations instead of the usual G matrix. Besides providing a number of practical simplifications, this approach removes much of the model dependence one traditionally finds due to the different short distance structure of various meson exchange potential models that are probed in many-body calculations. The low-lying spectra in several two-valence particle nuclei are presented and found to be weakly dependent on the momentum cutoff and in good agreement with experiments. |