416 research outputs found
Recent progress in Hamiltonian light-front QCD
Hamiltonian light-front quantum field theory constitutes a framework for the
non-perturbative solution of invariant masses and correlated parton amplitudes
of self-bound systems. By choosing light-front gauge and adopting a basis
function representation, we obtain a large, sparse, Hamiltonian matrix for mass
eigenstates of gauge theories that is solvable by adapting the ab initio
no-core methods of nuclear many-body theory. Full covariance is recovered in
the continuum limit, the infinite matrix limit. We outline our approach and
discuss the computational challenges.Comment: Invited paper at Light Cone 2008, Mulhouse, Franc
Electron in a transverse harmonic cavity
We employ Hamiltonian light-front quantum field theory in a basis function
approach to solve the non-perturbative problem of an electron in a strong
scalar transverse confining potential. We evaluate both the invariant mass
spectra and the anomalous magnetic moment of the lowest state for this
two-scale system. The weak external field limit of the anomalous magnetic
moment agrees with the result of QED perturbation theory within the anticipated
accuracy.Comment: 4 pages, 3 figures, published versio
Origin of the anomalous long lifetime of 14C
We report the microscopic origins of the anomalously suppressed beta decay of
14C to 14N using the ab initio no-core shell model (NCSM) with the Hamiltonian
from chiral effective field theory (EFT) including three-nucleon force (3NF)
terms. The 3NF induces unexpectedly large cancellations within the p-shell
between contributions to beta decay, which reduce the traditionally large
contributions from the NN interactions by an order of magnitude, leading to the
long lifetime of 14C.Comment: 4 pages, 2 figures and 2 table
Ab Initio study of neutron drops with chiral Hamiltonians
We report ab initio calculations for neutron drops in a 10 MeV external
harmonic-oscillator trap using chiral nucleon-nucleon plus three-nucleon
interactions. We present total binding energies, internal energies, radii and
odd-even energy differences for neutron numbers N = 2 - 18 using the no-core
shell model with and without importance truncation. Furthermore, we present
total binding energies for N = 8, 16, 20, 28, 40, 50 obtained in a
coupled-cluster approach. Comparisons with Green's Function Monte Carlo
results, where available, using Argonne v8' with three-nucleon interactions
reveal important dependences on the chosen Hamiltonian.Comment: 7 pages, 5 figure
Auxiliary potential in no-core shell-model calculations
The Lee-Suzuki iteration method is used to include the folded diagrams in the
calculation of the two-body effective interaction between
two nucleons in a no-core model space. This effective interaction still depends
upon the choice of single-particle basis utilized in the shell-model
calculation. Using a harmonic-oscillator single-particle basis and the
Reid-soft-core {\it NN} potential, we find that overbinds
^4\mbox{He} in 0, 2, and model spaces. As the size of the
model space increases, the amount of overbinding decreases significantly. This
problem of overbinding in small model spaces is due to neglecting effective
three- and four-body forces. Contributions of effective many-body forces are
suppressed by using the Brueckner-Hartree-Fock single-particle Hamiltonian.Comment: 14 text pages and 4 figures (in postscript, available upon request).
AZ-PH-TH/94-2
Nucleon-deuteron scattering with the JISP16 potential
The nucleon-nucleon J-matrix Inverse Scattering Potential JISP16 is applied
to elastic nucleon-deuteron (Nd) scattering and the deuteron breakup process at
the lab. nucleon energies up to 135 MeV. The formalism of the Faddeev equations
is used to obtain 3N scattering states. We compare predictions based on the
JISP16 force with data and with results based on various NN interactions: the
CD Bonn, the AV18, the chiral force with the semi-local regularization at the
5th order of the chiral expansion and with low-momentum interactions obtained
from the CD Bonn force as well as with the predictions from the combination of
the AV18 NN interaction and the Urbana IX 3N force. JISP16 provides a
satisfactory description of some observables at low energies but strong
deviations from data as well as from standard and chiral potential predictions
with increasing energy. However, there are also polarization observables at low
energies for which the JISP16 predictions differ from those based on the other
forces by a factor of two. The reason for such a behavior can be traced back to
the P-wave components of the JISP16 force. At higher energies the deviations
can be enhanced by an interference with higher partial waves and by the
properties of the JISP16 deuteron wave function. In addition, we compare the
energy and angular dependence of predictions based on the JISP16 force with the
results of the low-momentum forces obtained with different values of the
momentum cutoff parameter. We found that such low-momentum forces can be
employed to interpret the Nd elastic scattering data only below some specific
energy which depends on the cutoff parameter. Since JISP16 is defined in a
finite oscillator basis, it has properties similar to low momentum interactions
and its application to the description of Nd scattering data is limited to a
low momentum transfer region.Comment: 26 pages, 12 eps figures; Version accepted to Phys. Rev. C: text is
shortened, few figures regarding the nucleon-deuteron elastic scattering
observables are removed but a short discussion of the nucleon induced
deuteron breakup cross section is added. Conclusions remain unchange
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