2,636 research outputs found
Low-momentum interactions for nuclei
We show how the renormalization group is used to construct a low-momentum
nucleon-nucleon interaction V_{low k}, which unifies all potential models used
in nuclear structure calculations. V_{low k} can be directly applied to the
nuclear shell model or to nucleonic matter without a G matrix resummation. It
is argued that V_{low k} parameterizes a high-order chiral effective field
theory two-nucleon force. We use cutoff dependence as a tool to assess the
error in the truncation of nuclear forces to two-nucleon interactions and
introduce a low-momentum three-nucleon force, which regulates A=3,4 binding
energies. The adjusted three-nucleon interaction is perturbative for small
cutoffs. In contrast to other precision interactions, the error due to missing
many-body forces can be estimated, when V_{low k} and the corresponding
three-nucleon force are used in nuclear structure calculations and the cutoff
is varied.Comment: 10 pages, 5 figures, talk at INT workshop on Nuclear Forces and the
Quantum Many-Body Problem, Seattle, October 200
Three-body forces and proton-rich nuclei
We present the first study of three-nucleon (3N) forces for proton-rich
nuclei along the N=8 and N=20 isotones. Our results for the ground-state
energies and proton separation energies are in very good agreement with
experiment where available, and with the empirical isobaric multiplet mass
equation. We predict the spectra for all N=8 and N=20 isotones to the proton
dripline, which agree well with experiment for 18Ne, 19Na, 20Mg and 42Ti. In
all other cases, we provide first predictions based on nuclear forces. Our
results are also very promising for studying isospin symmetry breaking in
medium-mass nuclei based on chiral effective field theory.Comment: 5 pages, 4 figures, minor changes, published versio
Three-nucleon forces and spectroscopy of neutron-rich calcium isotopes
We study excited-state properties of neutron-rich calcium isotopes based on
chiral two- and three-nucleon interactions. We first discuss the details of our
many-body framework, investigate convergence properties, and for two-nucleon
interactions benchmark against coupled-cluster calculations. We then focus on
the spectroscopy of 47-56Ca, finding that with both 3N forces and an extended
pfg9/2 valence space, we obtain a good level of agreement with experiment. We
also study electromagnetic transitions and find that experimental data are well
described by our calculations. In addition, we provide predictions for
unexplored properties of neutron-rich calcium isotopes.Comment: 15 pages, 22 figures, published versio
How should one formulate, extract, and interpret `non-observables' for nuclei?
Nuclear observables such as binding energies and cross sections can be
directly measured. Other physically useful quantities, such as spectroscopic
factors, are related to measured quantities by a convolution whose
decomposition is not unique. Can a framework for these nuclear structure
`non-observables' be formulated systematically so that they can be extracted
from experiment with known uncertainties and calculated with consistent theory?
Parton distribution functions in hadrons serve as an illustrative example of
how this can be done. A systematic framework is also needed to address
questions of interpretation, such as whether short-range correlations are
important for nuclear structure.Comment: 7 pages. Contribution to the "Focus issue on Open Problems in Nuclear
Structure", Journal of Physics
Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
We review the impact of nuclear forces on matter at neutron-rich extremes.
Recent results have shown that neutron-rich nuclei become increasingly
sensitive to three-nucleon forces, which are at the forefront of theoretical
developments based on effective field theories of quantum chromodynamics. This
includes the formation of shell structure, the spectroscopy of exotic nuclei,
and the location of the neutron dripline. Nuclear forces also constrain the
properties of neutron-rich matter, including the neutron skin, the symmetry
energy, and the structure of neutron stars. We first review our understanding
of three-nucleon forces and show how chiral effective field theory makes unique
predictions for many-body forces. Then, we survey results with three-nucleon
forces in neutron-rich oxygen and calcium isotopes and neutron-rich matter,
which have been explored with a range of many-body methods. Three-nucleon
forces therefore provide an exciting link between theoretical, experimental and
observational nuclear physics frontiers.Comment: 28 pages, 13 figures, 1 tabl
Supernova matter at subnuclear densities as a resonant Fermi gas: Enhancement of neutrino rates
At low energies nucleon-nucleon interactions are resonant and therefore
supernova matter at subnuclear densities has many similarities to atomic gases
with interactions dominated by a Feshbach resonance. We calculate the rates of
neutrino processes involving nucleon-nucleon collisions and show that these are
enhanced in mixtures of neutrons and protons at subnuclear densities due to the
large scattering lengths. As a result, the rate for neutrino pair
bremsstrahlung and absorption is significantly larger below 10^{13} g cm^{-3}
compared to rates used in supernova simulations.Comment: 5 pages, 4 figures, published version, NORDITA-2014-2
Two-neutrino double electron capture on Xe based on an effective theory and the nuclear shell model
We study the two-neutrino double electron capture on Xe based on an
effective theory (ET) and large-scale shell model calculations, two modern
nuclear structure approaches that have been tested against Gamow-Teller and
double-beta decay data. In the ET, the low-energy constants are fit to electron
capture and transitions around xenon. For the nuclear shell model,
we use an interaction in a large configuration space that reproduces the
spectroscopy of nuclei in this mass region. For the dominant transition to the
Te ground state, we find half-lives y for the ET and y for the shell model. The ET uncertainty leads to
a half-life almost entirely consistent with present experimental limits and
largely within the reach of ongoing experiments. The shell model half-life
range overlaps with the ET, but extends less beyond current limits. Our
findings thus suggest that the two-neutrino double electron capture on
Xe has a good chance to be discovered by ongoing or future experiments.
In addition, we present results for the two-neutrino double electron capture to
excited states of Te.Comment: 5 pages, 2 figure
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