A Model Study of Discrete Scale Invariance and Long-Range Interactions

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dc.creatorHammer, H. -W.
dc.creatorHiga, R.
dc.date2008-04-29
dc.date2008-11-18
dc.date.accessioned2026-07-07T11:50:23Z
dc.date.available2026-07-07T11:50:23Z
dc.descriptionWe investigate the modification of discrete scale invariance in the bound state spectrum by long-range interactions. This problem is relevant for effective field theory descriptions of nuclear cluster states and manifestations of the Efimov effect in nuclei. As a model system, we choose a one dimensional inverse square potential supplemented with a long-range Coulomb interaction. We study the renormalization and bound-state spectrum of the system as a function of the Coulomb interaction strength. Our results indicate, that the counterterm required to renormalize the inverse square potential alone is sufficient to renormalize the full problem. However, the breaking of the discrete scale invariance through the Coulomb interaction leads to a modified bound state spectrum. The shallow bound states are strongly influenced by the Coulomb interaction while the deep bound states are dominated by the inverse square potential.
dc.description8 pages, 6 figures, EPJ style, published version
dc.identifierhttps://arxiv.org/abs/0804.4643
dc.identifierhttp://arxiv.org/abs/0804.4643
dc.identifierEur.Phys.J.A37:193-200,2008
dc.identifierdoi:10.1140/epja/i2008-10617-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203545
dc.subjectNuclear Theory
dc.subjectOther Condensed Matter
dc.titleA Model Study of Discrete Scale Invariance and Long-Range Interactions
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