Dimer scattering in the epsilon expansion

dc.creatorRupak, Gautam
dc.date2006-05-29
dc.date.accessioned2026-07-07T07:14:52Z
dc.date.available2026-07-07T07:14:52Z
dc.descriptionThe atom-dimer and dimer-dimer scattering lengths are analytically calculated in an expansion around four spatial dimensions for fermions with a large 2-body scattering length 'a'. We find the atom-dimer scattering length a_ad/a = 4/3-2/9 epsilon and the dimer-dimer scattering length a_dd/a = epsilon -0.344 epsilon^2, where epsilon = 4-d and d is the number of spatial dimensions. These ratios a_ad/a = 1.11 and a_dd/a = 0.656 at epsilon = 1 are to be compared with the non-perturbatively calculated numerical results 1.18 and 0.6 respectively. The neutron-deuteron scattering length in the quartet channel a_nD = 4.78 fm is in reasonable agreement with the experimental value 6.35 fm, considering 2-body effective range corrections r_0/a = 0.4 were excluded. The deuteron-deuteron scattering length a_DD = 3.15 fm in the spin-2 channel.
dc.description4 pages, 5 figures, LaTeX2e
dc.identifierhttps://arxiv.org/abs/nucl-th/0605074
dc.identifierhttp://arxiv.org/abs/nucl-th/0605074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113055
dc.subjectNuclear Theory
dc.subjectOther Condensed Matter
dc.subjectHigh Energy Physics - Phenomenology
dc.titleDimer scattering in the epsilon expansion
dc.typetext

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