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arXiv:nucl-th/0408047·v1·Nuclear Theory

Separation of Scales in the More Effective Field Theory and Moszkowski-Scott Methods

J. W. Holt (1) · G. E. Brown (1) ((1) SUNY, Stony Brook)

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Abstract

We compare the momentum-space decimation procedure used to construct the low momentum nucleon-nucleon interaction V(low-k) with the configuration-space separation method of Moszkowski and Scott. Each procedure defines a separation of scales in the nuclear many-body problem, and the extent to which these two scales coincide is studied. By studying the effects of the separation method on the relative S-state Kallio-Kolltveit potential, it is found that close agreement with V(low-k) is obtained as the configuration-space cutoff is lowered to ~ 1.0 fm.

Comments: 5 pages, 6 figures

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Separation of Scales in the More Effective Field Theory and Moszkowski-Scott Methods · PaperPanorama