172 research outputs found
The thick-thin decomposition and the bilipschitz classification of normal surface singularities
We describe a natural decomposition of a normal complex surface singularity
into its "thick" and "thin" parts. The former is essentially metrically
conical, while the latter shrinks rapidly in thickness as it approaches the
origin. The thin part is empty if and only if the singularity is metrically
conical; the link of the singularity is then Seifert fibered. In general the
thin part will not be empty, in which case it always carries essential
topology. Our decomposition has some analogy with the Margulis thick-thin
decomposition for a negatively curved manifold. However, the geometric behavior
is very different; for example, often most of the topology of a normal surface
singularity is concentrated in the thin parts.
By refining the thick-thin decomposition, we then give a complete description
of the intrinsic bilipschitz geometry of in terms of its topology and a
finite list of numerical bilipschitz invariants.Comment: Minor corrections. To appear in Acta Mathematic
Prescriptions for the scaling variable of the nucleon structure function in nuclei
We tested several choices of the in-medium value of the Bjorken scaling
variable assuming the nucleon structure function in nucleus to be the same as
that of free nucleon. The results unambiguously show that it is different.Comment: 11 pages, 3 figures, 1 tabl
Theory of doorway states for one-nucleon transfer reactions. II. Model-independent study of nuclear correlation effects
The correlation effects in nuclei owing to which the nuclear wave functions
are different from the Slater determinants are studied on the basis of the
original theory. The calculated numbers of nucleons out of the nuclear
Fermi-surface are in reasonable agreement with the finding from the
high-momentum components of the nucleon momentum distributions in nuclei. The
problems concerning the nuclear binding energy are also discussed.Comment: 11 pages LaTeX, epsfig.sty + 1 PostScript figure. submitted to
Journal of Nuclear Physic
An introduction to Lipschitz geometry of complex singularities
The aim of this paper to introduce the reader to a recent point of view on
the Lipschitz classifications of complex singularities. It presents the
complete classification of Lipschitz geometry of complex plane curves
singularities and in particular, it introduces the so-called bubble trick and
bubble trick with jumps which are key tools to study Lipschitz geometry of
germs. It describes also the thick-thin decomposition of a normal complex
surface singularity and built two geometric decompositions of a normal surface
germ into standard pieces which are invariant by respectively inner and outer
bilipschitz homeomorphisms. This leads in particular to the complete
classification of Lipschitz geometry for the inner metric.Comment: 50 pages, 36 figure
Multiplicity of singularities is not a bi-Lipschitz invariant
It was conjectured that multiplicity of a singularity is bi-Lipschitz invariant. We disprove this conjecture constructing examples of bi-Lipschitz equivalent complex algebraic singularities with different values of multiplicity.Lev Birbrair: Partially supported by CNPq grant 302655/2014-0. Alexandre Fernandes: Partially supported by CNPq grant grant304221/2017-9 and by CAPES-BRASIL Finance Code 001. J. Edson Sampaio: Partially supported by CNPq-Brazil grant 303811/2018-8, by the ERCEA 615655 NMST Consolidator Grant and also by the Basque Government through the BERC 2018-2021 program and Gobierno Vasco Grant IT1094-16, by the Spanish Ministry of Science, Innovation and Universities: BCAM Severo Ochoa accreditation SEV-2017-0718. Misha Verbitsky: Partially supported by the Russian Academic Excellence Project â5-100â, FAPERJ E-26/202.912/2018 and CNPq - Process 313608/2017-2
Schiff moment of the Mercury nucleus and the proton dipole moment
We calculated the contribution of internal nucleon electric dipole moments to
the Schiff moment of Hg. The contribution of the proton electric dipole
moment was obtained via core polarization effects that were treated in the
framework of random phase approximation with effective residual forces. We
derived a new upper bound cm of the proton
electric dipole moment.Comment: 4 pages, 2 figures, RevTex
The nonrelativistic limit of the relativistic point coupling model
We relate the relativistic finite range mean-field model (RMF-FR) to the
point-coupling variant and compare the nonlinear density dependence. From this,
the effective Hamiltonian of the nonlinear point-coupling model in the
nonrelativistic limit is derived. Different from the nonrelativistic models,
the nonlinearity in the relativistic models automatically yields contributions
in the form of a weak density dependence not only in the central potential but
also in the spin-orbit potential. The central potential affects the bulk and
surface properties while the spin-orbit potential is crucial for the shell
structure of finite nuclei. A modification in the Skyrme-Hartree-Fock model
with a density-dependent spin-orbit potential inspired by the point-coupling
model is suggested.Comment: 21 pages, latex, 1 eps figure. accepted for publication in annals of
physic
Nuclear Magnetic Quadrupole Moments in Single Particle Approximation
A static magnetic quadrupole moment of a nucleus, induced by T- and P-odd
nucleon-nucleon interaction, is investigated in the single-particle
approximation. Models are considered allowing for analytical solution. The
problem is also treated numerically in a Woods-Saxon potential with spin-orbit
interaction. The stability of results is discussed.Comment: LATEX, 9 pages, 1 postscript figure available upon request from
"[email protected]". BINP 94-4
P- and T-violating Schiff moment of the Mercury nucleus
The Schiff moment of the Hg nucleus was calculated using finite range
P- and T-violating weak nucleon-nucleon interaction. Effects of the core
polarization were considered in the framework of RPA with effective residual
forces.Comment: 10 pages and 2 figures,to appear in Yad. Fi
The Nuclear Sigma Term in the Skyrme Model: Pion-Nucleus Interaction
The nuclear sigma term is calculated including the nuclear matrix element of
the derivative of the NN interaction with respect to the quark mass,
. The NN potential is evaluated in the
skyrmion-skyrmion picture within the quantized product ansatz. The contribution
of the NN potential to the nuclear sigma term provides repulsion to the
pion-nucleus interaction. The strength of the s-wave pion-nucleus optical
potential is estimated including such contribution. The results are consistent
with the analysis of the experimental data.Comment: 16 pages (latex), 3 figures (eps), e-mail: [email protected] and
[email protected]
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