1,115 research outputs found
Relations between weighted Orlicz and spaces through fractional integrals
summary:We characterize the class of weights, invariant under dilations, for which a modified fractional integral operator maps weak weighted Orlicz spaces into appropriate weighted versions of the spaces , where . This generalizes known results about boundedness of from weak into Lipschitz spaces for and from weak into . It turns out that the class of weights corresponding to acting on weak for of lower type equal or greater than , is the same as the one solving the problem for weak with the lower index of Orlicz-Maligranda of , namely belongs to the class of Muckenhoupt
Realistic Calculation of the hep Astrophysical Factor
The astrophysical factor for the proton weak capture on 3He is calculated
with correlated-hyperspherical-harmonics bound and continuum wave functions
corresponding to a realistic Hamiltonian consisting of the Argonne v18
two-nucleon and Urbana-IX three-nucleon interactions. The nuclear weak charge
and current operators have vector and axial-vector components, that include
one- and many-body terms. All possible multipole transitions connecting any of
the p-3He S- and P-wave channels to the 4He bound state are considered. The
S-factor at a p-3He center-of-mass energy of 10 keV, close to the Gamow-peak
energy, is predicted to be 10.1 10^{-20} keV b, a factor of five larger than
the standard-solar-model value. The P-wave transitions are found to be
important, contributing about 40 % of the calculated S-factor.Comment: 8 pages RevTex file, submitted to Phys. Rev. Let
Isospin mixing in the nucleon and 4He and the nucleon strange electric form factor
In order to isolate the contribution of the nucleon strange electric form
factor to the parity-violating asymmetry measured in 4He(\vec e,e')4He
experiments, it is crucial to have a reliable estimate of the magnitude of
isospin-symmetry-breaking (ISB) corrections in both the nucleon and 4He. We
examine this issue in the present letter. Isospin admixtures in the nucleon are
determined in chiral perturbation theory, while those in 4He are derived from
nuclear interactions, including explicit ISB terms. A careful analysis of the
model dependence in the resulting predictions for the nucleon and nuclear ISB
contributions to the asymmetry is carried out. We conclude that, at the low
momentum transfers of interest in recent measurements reported by the HAPPEX
collaboration at Jefferson Lab, these contributions are of comparable magnitude
to those associated with strangeness components in the nucleon electric form
factor.Comment: 4 pages, 2 figures, revtex
The Ay Problem for p-3He Elastic Scattering
We present evidence that numerically accurate quantum calculations employing
modern internucleon forces do not reproduce the proton analyzing power, A_y,
for p-3He elastic scattering at low energies. These calculations underpredict
new measured analyzing powers by approximately 30% at E_{c.m.} = 1.20 MeV and
by 40% at E_{c.m.} = 1.69 MeV, an effect analogous to a well-known problem in
p-d and n-d scattering. The calculations are performed using the complex Kohn
variational principle and the (correlated) Hyperspherical Harmonics technique
with full treatment of the Coulomb force. The inclusion of the three-nucleon
interaction does not improve the agreement with the experimental data.Comment: Latex file, 4 pages, 2 figures, to be published on Phys. Rev. Let
Robust multi-fidelity design of a micro re-entry unmanned space vehicle
This article addresses the preliminary robust design of a small-scale re-entry unmanned space vehicle by means of a hybrid optimization technique. The approach, developed in this article, closely couples an evolutionary multi-objective algorithm with a direct transcription method for optimal control problems. The evolutionary part handles the shape parameters of the vehicle and the uncertain objective functions, while the direct transcription method generates an optimal control profile for the re-entry trajectory. Uncertainties on the aerodynamic forces and characteristics of the thermal protection material are incorporated into the vehicle model, and a Monte-Carlo sampling procedure is used to compute relevant statistical characteristics of the maximum heat flux and internal temperature. Then, the hybrid algorithm searches for geometries that minimize the mean value of the maximum heat flux, the mean value of the maximum internal temperature, and the weighted sum of their variance: the evolutionary part handles the shape parameters of the vehicle and the uncertain functions, while the direct transcription method generates the optimal control profile for the re-entry trajectory of each individual of the population. During the optimization process, artificial neural networks are utilized to approximate the aerodynamic forces required by the optimal control solver. The artificial neural networks are trained and updated by means of a multi-fidelity approach: initially a low-fidelity analytical model, fitted on a waverider type of vehicle, is used to train the neural networks, and through the evolution a mix of analytical and computational fluid dynamic, high-fidelity computations are used to update it. The data obtained by the high-fidelity model progressively become the main source of updates for the neural networks till, near the end of the optimization process, the influence of the data obtained by the analytical model is practically nullified. On the basis of preliminary results, the adopted technique is able to predict achievable performance of the small spacecraft and the requirements in terms of thermal protection materials
An Experimental Platform for the Analysis of Polydisperse Systems Based on Light Scattering and Image Processing
In this work an experimental platform for light scattering analysis has been developed using image sensors, as CCD or CMOS. The main aim of this activity is the investigation of the feasibility of using these types of sensors for polydisperse systems analysis. The second purpose is the implementation of an experimental platform which is enough versatile to permit the observation of different phenomena in order to develop novel sensors/approach using data fusion
Local chiral potentials and the structure of light nuclei
We present fully local versions of the minimally non-local nucleon-nucleon
potentials constructed in a previous paper [M.\ Piarulli {\it et al.}, Phys.\
Rev.\ C {\bf 91}, 024003 (2015)], and use them in hypersperical-harmonics and
quantum Monte Carlo calculations of ground and excited states of H, He,
He, He, and Li nuclei. The long-range part of these local
potentials includes one- and two-pion exchange contributions without and with
-isobars in the intermediate states up to order ( denotes
generically the low momentum scale) in the chiral expansion, while the
short-range part consists of contact interactions up to order . The
low-energy constants multiplying these contact interactions are fitted to the
2013 Granada database in two different ranges of laboratory energies, either
0--125 MeV or 0--200 MeV, and to the deuteron binding energy and singlet
scattering length. Fits to these data are performed for three models
characterized by long- and short-range cutoffs, and
respectively, ranging from fm down to
fm. The long-range (short-range) cutoff regularizes the one- and
two-pion exchange (contact) part of the potential.Comment: 29 pages, 3 figure
Evidence for Three Nucleon Force Effects in p-d Elastic Scattering
A new measurement of the p-d differential cross section at Ep= 1 MeV has been
performed. These new data and older data sets at energies below the deuteron
breakup are compared to calculations using the two-nucleon Argonne v18 and the
three-nucleon Urbana IX potentials. A quantitative estimate of the capability
of these interactions to describe the data is given in terms of a chi^2
analysis. The chi^2 per datum drastically improves when the three-nucleon
interaction is included in the Hamiltonian.Comment: 13 pages, 5 figures, to be published in Phys. Rev.
Polarization observables in p-d scattering below 30 MeV
Differential and total breakup cross sections as well as vector and tensor
analyzing powers for p-d scattering are studied for energies above the deuteron
breakup threshold up to E(lab)=28 MeV. The p-d scattering wave function is
expanded in terms of the correlated hyperspherical harmonic basis and the
elastic S-matrix is obtained using the Kohn variational principle in its
complex form. The effects of the Coulomb interaction, which are expected to be
important in this energy range, have been rigorously taken into account. The
Argonne AV18 interaction and the Urbana URIX three-nucleon potential have been
used to perform a comparison to the available experimental data.Comment: 31 pages, 8 figure
Local chiral interactions and magnetic structure of few-nucleon systems
The magnetic form factors of H, H, and He, deuteron
photodisintegration cross sections at low energies, and deuteron threshold
electrodisintegration cross sections at backward angles in a wide range of
momentum transfers, are calculated with the chiral two-nucleon (and
three-nucleon) interactions including intermediate states that have
recently been constructed in configuration space. The =3 wave
functions are obtained from hyperspherical-harmonics solutions of the
Schr\"odinger equation. The electromagnetic current includes one- and two-body
terms, the latter induced by one- and two-pion exchange (OPE and TPE,
respectively) mechanisms and contact interactions. The contributions associated
with intermediate states are only retained at the OPE level, and are
neglected in TPE loop (tree-level) corrections to two-body (three-body) current
operators. Expressions for these currents are derived and regularized in
configuration space for consistency with the interactions. The low-energy
constants that enter the contact few-nucleon systems. The predicted form
factors and deuteron electrodisintegration cross section are in excellent
agreement with experiment for momentum transfers up to 2--3 fm. However,
the experimental values for the deuteron photodisintegration cross section are
consistently underestimated by theory, unless use is made of the Siegert form
of the electric dipole transition operator. A complete analysis of the results
is provided, including the clarification of the origin of the aforementioned
discrepancy.Comment: 24 pages, 13 figure
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