Astrophysical Implication of Low E(2^+_1) in Neutron-rich Sn Isotopes

The observation and prediction of unusually depressed first excited 2^+_1 states in even-A neutron - rich isotopes of semi-magic Sn above 132Sn provide motivations for reviewing the problems related to the nuclear astrophysics in general. In the present work, the beta-decay rates of the exotic even Sn isotopes (134,136Sn) above the 132Sn core have been calculated as a function of temperature (T). In order to get the necessary ft values, B(GT) values corresponding to allowed Gamow Teller (GT-) beta-decay have been theoretically calculated using shell model. The total decay rate shows decrease with increasing temperature as the ground state population is depleted and population of excited states with slower decay rates increases. The abundance at each Z value is inversely proportional to the decay constant of the waiting point nucleus for that particular Z. So the increase in half-life of isotopes of Sn, like 136Sn, might have substantial impact on the r-process nucleosynthesis.Comment: 4th International Workshop on Nuclear Fission and Fission Product Spectroscopy, CEA Cadarache, May 13 - 16, 2009, 4 pages, 2 figure

Structure properties of even-even actinides

Structure properties of fifty five even-even actinides have been calculated using the Gogny D1S force and the Hartree-Fock-Bogoliubov approach as well as the configuration mixing method. Theoretical results are compared with experimental data.Comment: 5 pages, 5 figures, proceeding of FUSION0

Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction

A systematic study of low energy nuclear structure at normal deformation is carried out using the Hartree-Fock-Bogoliubov theory extended by the Generator Coordinate Method and mapped onto a 5-dimensional collective quadrupole Hamiltonian. Results obtained with the Gogny D1S interaction are presented from dripline to dripline for even-even nuclei with proton numbers Z=10 to Z=110 and neutron numbers N less than 200. The properties calculated for the ground states are their charge radii, 2-particle separation energies, correlation energies, and the intrinsic quadrupole shape parameters. For the excited spectroscopy, the observables calculated are the excitation energies and quadrupole as well as monopole transition matrix elements. We examine in this work the yrast levels up to J=6, the lowest excited 0^+ states, and the two next yrare 2^+ states. The theory is applicable to more than 90% of the nuclei which have tabulated measurements. The data set of the calculated properties of 1712 even-even nuclei, including spectroscopic properties for 1693 of them, are provided in CEA website and EPAPS repository with this article \cite{epaps}.Comment: 51 pages with 26 Figures and 4 internal tables; this version is accepted by Physical Review

Bessel bridges decomposition with varying dimension. Applications to finance

We consider a class of stochastic processes containing the classical and well-studied class of Squared Bessel processes. Our model, however, allows the dimension be a function of the time. We first give some classical results in a larger context where a time-varying drift term can be added. Then in the non-drifted case we extend many results already proven in the case of classical Bessel processes to our context. Our deepest result is a decomposition of the Bridge process associated to this generalized squared Bessel process, much similar to the much celebrated result of J. Pitman and M. Yor. On a more practical point of view, we give a methodology to compute the Laplace transform of additive functionals of our process and the associated bridge. This permits in particular to get directly access to the joint distribution of the value at t of the process and its integral. We finally give some financial applications to illustrate the panel of applications of our results

Description of a three-dimensional deconvolution reconstruction algorithm from cone beam projection

This paper presents the discretization and the application of a 3D reconstruction method front cone beam X-ray projections . The generalized back projection theorem, established in a previous work, is the theoretical basis for the method. It allows to reduce the reconstruction problem to a 3D deconvolution problem . The proposed algorithm essentially consists in two steps : (i) computation of the discrete corrected back projection of all the cone beam projections ; (ii) deconvolution of the result . After vectorization, this algorithm has been implemented on a CDC CYBER 205 computer. A simple and comprehensive test function is proposed to evaluate the algorithm relatively to various error criteria . The first simulations show that the reconstruction results are very satisfying when the X-ray sources are located in the whole space around the object, in accordance with the theory (4 it geometry). Furthermore, even in poor acquisition conditions the algorithm seems to give a first approximation of the object which can be sufficient to study its morphological aspect .Cet article présente la discrétisation et la mise en oeuvre d'une méthode de reconstruction 3D à partir de projections coniques . Le théorème de la rétroprojection, établi dans un travail précédent, est la base théorique de la méthode. Il permet de ramener le problème de reconstruction à un problème de déconvolution 3D. L'algorithme proposé comporte essentiellement deux étapes, consistant tout d'abord à calculer une rétroprojection corrigée des projections coniques, puis à déconvoluer le résultat obtenu. Cet algorithme a été implanté sur le CYBER 205 de Control Data après avoir été complètement vectorisé . Un exemple simple de simulation et différents critères d'écarts sont proposés pour l'évaluer . Les premières simulations montrent que les résultats obtenus sont très satisfaisants si les sources sont réparties dans l'espace tout autour de l'objet (géométie 4 7t) . De plus, même dans des conditions d'acquisition assez défavorables, l'algorithme semble donner une première approximation de l'objet qui peut être suffisante pour étudier son aspect morphologique

Magnetic Moment of the Fragmentation Aligned 61Fe(9/2)+ Isomer

We report on the g factor measurement of the isomer in $^{61}Fe$ ($E^{*}=861 keV$). The isomer was produced and spin-aligned via a projectile-fragmentation reaction at intermediate energy, the Time Dependent Perturbed Angular Distribution (TDPAD) method being used for the measurement of the g factor. For the first time, due to significant improvements of the experimental technique, an appreciable residual alignment of the isomer has been observed, allowing a precise determination of its g factor: $g=-0.229(2)$. Comparison of the experimental g factor with shell-model and mean field calculations confirms the $9/2^+$ spin and parity assignments and suggests the onset of deformation due to the intrusion of Nilsson orbitals emerging from the $\nu g_{9/2}$.Comment: 4 figures. Submitted to Phys. Rev. Let

Ground state correlations and mean-field in 16^{16}O

We use the coupled cluster expansion ($\exp(S)$ method) to generate the complete ground state correlations due to the NN interaction. Part of this procedure is the calculation of the two-body G matrix inside the nucleus in which it is being used. This formalism is being applied to $^{16}O$ in a configuration space of 50 $\hbar\omega$. The resulting ground state wave function is used to calculate the binding energy and one- and two-body densities for the ground state of $^{16}O$.Comment: 9 pages, 9 figures, LaTe