971 research outputs found
The Coulomb interaction in Helium-3: Interplay of strong short-range and weak long-range potentials
Quantum chromodynamics and the electroweak theory at low energies are
prominent instances of the combination of a short-range and a long-range
interaction. For the description of light nuclei, the large nucleon-nucleon
scattering lengths produced by the strong interaction, and the reduction of the
weak interaction to the Coulomb potential, play a crucial role. Helium-3 is the
first bound nucleus comprised of more than one proton in which this combination
of forces can be studied.
We demonstrate a proper renormalization of Helium-3 using the pionless
effective field theory as the formal representation of the nuclear regime as
strongly interacting fermions. The theory is found consistent at leading and
next-to-leading order without isospin-symmetry-breaking 3-nucleon interactions
and a non-perturbative treatment of the Coulomb interaction. The conclusion
highlights the significance of the regularization method since a comparison to
previous work is contradictory if the difference in those methods is not
considered.
With a perturbative Coulomb interaction, as suggested by dimensional
analysis, we find the Helium-3 system properly renormalized, too.
For both treatments, renormalization-scheme independence of the effective
field theory is demonstrated by regulating the potential and a variation of the
associated cutoff.Comment: accepted version; additional figure; additional discussion of renorm.
and limit cycl
Few body Calculation of Neutrino Neutral Inelastic scattering on 4He
The inelastic neutral reaction of neutrino on 4He is calculated using two
modern nucleon--nucleon potentials. Full final state interaction among the four
nucleons is considered, via the Lorentz integral transform (LIT) method. The
effective interaction hyperspherical-harmonic (EIHH) approach is used to solve
the resulting Schrodinger like equations. A detailed energy dependent
calculation is given in the impulse approximation.Comment: 4 pages; talk at 18th International Conference on Few-Body Problems
in Physics (FB18), Santos, SP, Brazil, August 200
Correlation between Charge Inhomogeneities and Structure in Graphene and Other Electronic Crystalline Membranes
Only one atom thick and not inclined to lattice defects, graphene represents
the ultimate crystalline membrane. However, its structure reveals unique
features not found in other crystalline membranes, in particular the existence
of ripples with wavelength of 100-300 Angstroms. Here, I trace the origin of
this difference to the free electrons in the membrane. The deformation energy
of the lattice creates a coupling between charge fluctuations and the
structure, resulting in ripples on the membrane, correlated with charge
inhomogeneities. In graphene this mechanism reproduces the experimental result
for both charge puddles and ripples.Comment: Accepted for publication in PRB as Rapid Communicatio
Theory of the spontaneous buckling of doped graphene
Graphene is a realization of an esoteric class of materials -- electronic
crystalline membranes. We study the interplay between the free electrons and
the two-dimensional crystal, and find that it induces a substantial effect on
the elastic structure of the membrane. For the hole-doped membrane, in
particular, we predict a spontaneous buckling. In addition, attenuation of
elastic waves is expected, due to the effect of corrugations on the bulk
modulus. These discoveries have a considerable magnitude in graphene, affecting
both its mesoscopic structure, and its electrical resistivity, which has an
inherent asymmetry between hole- and electron-doped graphene.Comment: Accepted for publication in PR
Neutrino Breakup of A=3 Nuclei in Supernovae
We extend the virial equation of state to include 3H and 3He nuclei, and
predict significant mass-three fractions near the neutrinosphere in supernovae.
While alpha particles are often more abundant, we demonstrate that energy
transfer cross-sections for muon and tau neutrinos at low densities are
dominated by breakup of the loosely-bound 3H and 3He nuclei. The virial
coefficients involving A=3 nuclei are calculated directly from the
corresponding nucleon-3H and nucleon-3He scattering phase shifts. For the
neutral-current inelastic cross-sections and the energy transfer cross
sections, we perform ab-initio calculations based on microscopic two- and
three-nucleon interactions and meson-exchange currents.Comment: 6 pages, 2 figures, minor additions, to appear in Phys. Rev.
Spin-dependent WIMP scattering off nuclei
Chiral effective field theory (EFT) provides a systematic expansion for the
coupling of WIMPs to nucleons at the momentum transfers relevant to direct cold
dark matter detection. We derive the currents for spin-dependent WIMP
scattering off nuclei at the one-body level and include the leading long-range
two-body currents, which are predicted in chiral EFT. As an application, we
calculate the structure factor for spin-dependent WIMP scattering off 129,131Xe
nuclei, using nuclear interactions that have been developed to study nuclear
structure and double-beta decays in this region. We provide theoretical error
bands due to the nuclear uncertainties of WIMP currents in nuclei.Comment: 6 pages, 3 figures, published versio
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