3,712 research outputs found
Gamow Shell-Model Description of Weakly Bound and Unbound Nuclear States
Recently, the shell model in the complex k-plane (the so-called Gamow Shell
Model) has been formulated using a complex Berggren ensemble representing bound
single-particle states, single-particle resonances, and non-resonant continuum
states. In this framework, we shall discuss binding energies and energy spectra
of neutron-rich helium and lithium isotopes. The single-particle basis used is
that of the Hartree-Fock potential generated self-consistently by the
finite-range residual interaction.Comment: 13 pages, 2 figures, presented by N. Michel at the XXVII Symposium On
Nuclear Physics, Taxco, Guerrero, Mexico, January 5-8 200
Timing performance of 30-nm-wide superconducting nanowire avalanche photodetectors
We investigated the timing jitter of superconducting nanowire avalanche
photodetectors (SNAPs, also referred to as cascade switching superconducting
single photon detectors) based on 30-nm-wide nanowires. At bias currents (IB)
near the switching current, SNAPs showed sub 35 ps FWHM Gaussian jitter similar
to standard 100 nm wide superconducting nanowire single-photon detectors. At
lower values of IB, the instrument response function (IRF) of the detectors
became wider, more asymmetric, and shifted to longer time delays. We could
reproduce the experimentally observed IRF time-shift in simulations based on an
electrothermal model, and explain the effect with a simple physical picture
Electric circuit networks equivalent to chaotic quantum billiards
We formulate two types of electric RLC resonance network equivalent to
quantum billiards. In the network of inductors grounded by capacitors squared
resonant frequencies are eigenvalues of the quantum billiard. In the network of
capacitors grounded by inductors squared resonant frequencies are given by
inverse eigen values of the billiard. In both cases local voltages play role of
the wave function of the quantum billiard. However as different from quantum
billiards there is a heat power because of resistance of the inductors. In the
equivalent chaotic billiards we derive the distribution of the heat power which
well describes numerical statistics.Comment: 9 pages, 7 figure
Distribution of nearest distances between nodal points for the Berry function in two dimensions
According to Berry a wave-chaotic state may be viewed as a superposition of
monochromatic plane waves with random phases and amplitudes. Here we consider
the distribution of nodal points associated with this state. Using the property
that both the real and imaginary parts of the wave function are random Gaussian
fields we analyze the correlation function and densities of the nodal points.
Using two approaches (the Poisson and Bernoulli) we derive the distribution of
nearest neighbor separations. Furthermore the distribution functions for nodal
points with specific chirality are found. Comparison is made with results from
from numerical calculations for the Berry wave function.Comment: 11 pages, 7 figure
Effects of accidental microconstriction on the quantized conductance in long wires
We have investigated the conductance of long quantum wires formed in
GaAs/AlGaAs heterostructures. Using realistic fluctuation potentials from donor
layers we have simulated numerically the conductance of four different kinds of
wires. While ideal wires show perfect quantization, potential fluctuations from
random donors may give rise to strong conductance oscillations and degradation
of the quantization plateaux. Statistically there is always the possibility of
having large fluctuations in a sample that may effectively act as a
microconstriction. We therefore introduce microconstrictions in the wires by
occasional clustering of donors. These microconstrictions are found to restore
the quantized plateaux. A similar effect is found for accidental lithographic
inaccuracies.Comment: 4 pages, 2 figures, paper for NANO2002 symposium, will appear in SPIE
proceeding
Critical-Current Reduction in Thin Superconducting Wires Due to Current Crowding
We demonstrate experimentally that the critical current in superconducting
NbTiN wires is dependent on their geometrical shape, due to current-crowding
effects. Geometric patterns such as 90 degree corners and sudden expansions of
wire width are shown to result in the reduction of critical currents. The
results are relevant for single-photon detectors as well as parametric
amplifiers
Gamow Shell Model Description of Neutron-Rich Nuclei
This work presents the first continuum shell-model study of weakly bound
neutron-rich nuclei involving multiconfiguration mixing. For the
single-particle basis, the complex-energy Berggren ensemble representing the
bound single-particle states, narrow resonances, and the non-resonant continuum
background is taken. Our shell-model Hamiltonian consists of a one-body finite
potential and a zero-range residual two-body interaction. The systems with two
valence neutrons are considered. The Gamow shell model, which is a
straightforward extension of the traditional shell model, is shown to be an
excellent tool for the microscopic description of weakly bound systems. It is
demonstrated that the residual interaction coupling to the particle continuum
is important; in some cases, it can give rise to the binding of a nucleus.Comment: 4 pages, More realistic s.p. energies used than in the precedent
versio
Temperature dependent BCS equations with continuum coupling
The temperature dependent BCS equations are modified in order to include the
contribution of the continuum single particle states. The influence of the
continuum upon the critical temperature corresponding to the phase transition
from a superfluid to a normal state and upon the behaviour of the excitation
energy and of the entropy is discussed.Comment: 9 pages, 3 figures, to appear in Phys. Rev.
Non-Simplified SUSY: Stau-Coannihilation at LHC and ILC
If new phenomena beyond the Standard Model will be discovered at the LHC, the
properties of the new particles could be determined with data from the
High-Luminosity LHC and from a future linear collider like the ILC. We discuss
the possible interplay between measurements at the two accelerators in a
concrete example, namely a full SUSY model which features a small stau_1-LSP
mass difference. Various channels have been studied using the Snowmass 2013
combined LHC detector implementation in the Delphes simulation package, as well
as simulations of the ILD detector concept from the Technical Design Report. We
investigate both the LHC and ILC capabilities for discovery, separation and
identification of various parts of the spectrum. While some parts would be
discovered at the LHC, there is substantial room for further discoveries at the
ILC. We finally highlight examples where the precise knowledge about the lower
part of the mass spectrum which could be acquired at the ILC would enable a
more in-depth analysis of the LHC data with respect to the heavier states.Comment: 42 pages, 18 figures, 12 table
Completeness of the Coulomb scattering wave functions
Completeness of the eigenfunctions of a self-adjoint Hamiltonian, which is
the basic ingredient of quantum mechanics, plays an important role in nuclear
reaction and nuclear structure theory. However, until now, there was no a
formal proof of the completeness of the eigenfunctions of the two-body
Hamiltonian with the Coulomb interaction. Here we present the first formal
proof of the completeness of the two-body Coulomb scattering wave functions for
repulsive unscreened Coulomb potential. To prove the completeness we use the
Newton's method [R. Newton, J. Math Phys., 1, 319 (1960)]. The proof allows us
to claim that the eigenfunctions of the two-body Hamiltonian with the potential
given by the sum of the repulsive Coulomb plus short-range (nuclear) potentials
also form a complete set. It also allows one to extend the Berggren's approach
of modification of the complete set of the eigenfunctions by including the
resonances for charged particles. We also demonstrate that the resonant Gamow
functions with the Coulomb tail can be regularized using Zel'dovich's
regularization method.Comment: 12 pages and 1 figur
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