Low-momentum interactions with smooth cutoffs

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dc.creatorBogner, S. K.
dc.creatorFurnstahl, R. J.
dc.creatorRamanan, S.
dc.creatorSchwenk, A.
dc.date2006-09-01
dc.date.accessioned2026-07-07T10:26:26Z
dc.date.available2026-07-07T10:26:26Z
dc.descriptionNucleon-nucleon potentials evolved to low momentum, which show great promise in few- and many-body calculations, have generally been formulated with a sharp cutoff on relative momenta. However, a sharp cutoff has technical disadvantages and can cause convergence problems at the 10-100 keV level in the deuteron and triton. This motivates using smooth momentum-space regulators as an alternative. We generate low-momentum interactions with smooth cutoffs both through energy-independent renormalization group methods and using a multi-step process based on the Bloch-Horowitz approach. We find greatly improved convergence for calculations of the deuteron and triton binding energies in a harmonic oscillator basis compared to results with a sharp cutoff. Even a slight evolution of chiral effective field theory interactions to lower momenta is beneficial. The renormalization group preserves the long-range part of the interaction, and consequently the renormalization of long-range operators, such as the quadrupole moment, the radius and 1/r, is small. This demonstrates that low-energy observables in the deuteron are reproduced without short-range correlations in the wave function.
dc.description29 pages, 19 figures
dc.identifierhttps://arxiv.org/abs/nucl-th/0609003
dc.identifierhttp://arxiv.org/abs/nucl-th/0609003
dc.identifierNucl.Phys.A784:79-103,2007
dc.identifierdoi:10.1016/j.nuclphysa.2006.11.123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176883
dc.subjectNuclear Theory
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Phenomenology
dc.titleLow-momentum interactions with smooth cutoffs
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