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Unitary Correlation Operator Method

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Why Effective Interactions?<br />

The Problem: Short-Range <strong>Correlation</strong>s<br />

Interaction<br />

many realistic two-body<br />

interactions show a strong<br />

short-range repulsion<br />

(e.g. nucleon-nucleon & van der<br />

Waals interactions)<br />

Effective Interaction<br />

replace the full potential by a<br />

tamed effective interaction<br />

<strong>Correlation</strong>s<br />

core induces strong<br />

short-range correlations<br />

in many-body state<br />

(e.g. correlation hole in<br />

two-body density)<br />

<strong>Unitary</strong> <strong>Correlation</strong> <strong>Operator</strong> <strong>Method</strong><br />

UCOM<br />

Product States<br />

short-range correlations<br />

cannot be described by<br />

product-type states<br />

(e.g. mean-field, superposition<br />

of few product states,...)<br />

Correlated States<br />

include correlations in many-body<br />

model-space<br />

R. Roth

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