5,188 research outputs found
Boutet de Monvel operators on singular manifolds
We construct a Boutet de Monvel calculus for general pseudodifferential
boundary value problems defined on a broad class of non-compact manifolds, the
class of so-called Lie manifolds with boundary. It is known that this class of
non-compact manifolds can be used to model many classes of singular manifolds.Comment: accepted CR Acad Sci Pari
A geometric approach to K-homology for Lie manifolds
We prove that the computation of the Fredholm index for fully elliptic
pseudodifferential operators on Lie manifolds can be reduced to the computation
of the index of Dirac operators perturbed by smoothing operators. To this end
we adapt to our framework ideas coming from Baum-Douglas geometric K-homology
and in particular we introduce a notion of geometric cycles that can be
classified into a variant of the famous geometric K-homology groups, for the
specific situation here. We also define comparison maps between this geometric
K-homology theory and relative K-theory
Study of refractive structure in the inelastic 16O+16O scattering at the incident energies of 250 to 1120 MeV
The data of inelastic 16O+16O scattering to the lowest 2+ and 3- excited
states of 16O have been measured at Elab = 250, 350, 480, 704 and 1120 MeV and
analyzed consistently in the distorted wave Born approximation (DWBA), using
the semi- microscopic optical potentials and inelastic form factors given by
the folding model, to reveal possible refractive structure of the nuclear
rainbow that was identified earlier in the elastic 16O+16O scattering channel
at the same energies. Given the known transition strengths of the 2+ and 3-
states of 16O well determined from the (e,e') data, the DWBA description of the
inelastic data over the whole angular range was possible only if the absorption
in the exit channels is significantly increased (especially, for the
16O+16O(2+) exit channel). Although the refractive pattern of the inelastic
16O+16O scattering was found to be less pronounced compared to that observed in
the elastic scattering channel, a clear remnant of the main rainbow maximum
could still be seen in the inelastic cross section at Elab = 350 - 704 MeV.Comment: 26 pages, 10 figures, Accepted for publication in Nucl. Phys.
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