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

J. W. Holt·G. E. Brown
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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.

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J. W. Holt, G. E. Brown. 2004-08-19. Separation of Scales in the More Effective Field Theory and Moszkowski-Scott Methods. https://arxiv.org/abs/nucl-th/0408047

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