Pairing with polarization effects in low-density neutron matter

We study the properties of the 1S0 pairing gap in low-density neutron matter. Different corrections to the lowest-order scattering length approximation are explored, resulting in a strong suppression with respect to the BCS result.

Nuclear pairing: surface or bulk?

We analyze how the spatial localization properties of pairing correlations are changing in a major neutron shell of heavy nuclei. It is shown that the radial distribution of the pairing density depends strongly on whether the chemical potential is close to a low or a high angular momentum level and has little sensitivity to whether the pairing force acts at the surface or in the bulk. The pairing density averaged over one major shell is, however, rather flat, exhibiting little dependence on the pairing force. Hartree-Fock-Bogoliubov calculations for the isotopic chain 100-132Sn are presented for demonstration purposes.

Density matrix functional theory that includes pairing correlations

The extension of density functional theory (DFT) to include pairing correlations without formal violation of the particle-number conservation condition is described. This version of the theory can be considered as a foundation of the application of existing DFT plus pairing approaches to atoms, molecules, ultracooled and magnetically trapped atomic Fermi gases, and atomic nuclei where the number of particles is conserved exactly. The connection with Hartree-Fock-Bogoliubov (HFB) theory is discussed, and the method of quasilocal reduction of the nonlocal theory is also described. This quasilocal reduction allows equations of motion to be obtained which are much simpler for numerical solution than the equations corresponding to the nonlocal case. Our theory is applied to the study of some even Sn isotopes, and the results are compared with those obtained in the standard HFB theory and with the experimental ones.

Deformation properties of the Barcelona-Catania-Paris (BCP) energy density functional

We explore the deformation properties of the newly postulated Barcelona-Catania-Paris (BCP) energy density functional (EDF). The results obtained for three isotope chains of Mg, Dy, and Ra are compared to the available experimental data as well as to the results of the Gogny-D1S force. Results for the fission barrier of 240Pu are also discussed.

Density dependence of the symmetry free energy of hot nuclei

The density and excitation energy dependence of symmetry energy and symmetry free energy for finite nuclei are calculated microscopically in a microcanonical framework, taking into account thermal and expansion effects. A finite-range momentum and density-dependent two-body effective interaction is employed for this purpose. The role of mass, isospin, and equation of state (EOS) on these quantities is also investigated; our calculated results are in consonance with the available experimental data.

Binding energy and momentum distribution of nuclear matter using Green's functions methods

The influence of hole-hole (h-h) propagation in addition to the conventional particle-particle (p-p) propagation, on the energy per particle and the momentum distribution is investigated for the v2 central interaction which is derived from Reid¿s soft-core potential. The results are compared to Brueckner-Hartree-Fock calculations with a continuous choice for the single-particle (SP) spectrum. Calculation of the energy from a self-consistently determined SP spectrum leads to a lower saturation density. This result is not corroborated by calculating the energy from the hole spectral function, which is, however, not self-consistent. A generalization of previous calculations of the momentum distribution, based on a Goldstone diagram expansion, is introduced that allows the inclusion of h-h contributions to all orders. From this result an alternative calculation of the kinetic energy is obtained. In addition, a direct calculation of the potential energy is presented which is obtained from a solution of the ladder equation containing p-p and h-h propagation to all orders. These results can be considered as the contributions of selected Goldstone diagrams (including p-p and h-h terms on the same footing) to the kinetic and potential energy in which the SP energy is given by the quasiparticle energy. The results for the summation of Goldstone diagrams leads to a different momentum distribution than the one obtained from integrating the hole spectral function which in general gives less depletion of the Fermi sea. Various arguments, based partly on the results that are obtained, are put forward that a self-consistent determination of the spectral functions including the p-p and h-h ladder contributions (using a realistic interaction) will shed light on the question of nuclear saturation at a nonrelativistic level that is consistent with the observed depletion of SP orbitals in finite nuclei.

Double folding with a density-dependent effective interaction and it s analytical approximation

The real part of the optical potential for heavy ion elastic scattering is obtained by double folding of the nuclear densities with a density-dependent nucleon-nucleon effective interaction which was successful in describing the binding, size, and nucleon separation energies in spherical nuclei. A simple analytical form is found to differ from the resulting potential considerably less than 1% all through the important region. This analytical potential is used so that only few points of the folding need to be computed. With an imaginary part of the Woods-Saxon type, this potential predicts the elastic scattering angular distribution in very good agreement with experimental data, and little renormalization (unity in most cases) is needed.

Relativistic mean-field interaction with density-dependent meson-nucleon vertices based on microscopical calculations

Although ab initio calculations of relativistic Brueckner theory lead to large scalar isovector fields in nuclear matter, at present, successful versions of covariant density functional theory neglect the interactions in this channel. A new high-precision density functional DD-MEδ is presented which includes four mesons, σ, ω, δ, and ρ, with density-dependent meson-nucleon couplings. It is based to a large extent on microscopic ab initiocalculations in nuclear matter. Only four of its parameters are determined by adjusting to binding energies and charge radii of finite nuclei. The other parameters, in particular the density dependence of the meson-nucleon vertices, are adjusted to nonrelativistic and relativistic Brueckner calculations of symmetric and asymmetric nuclear matter. The isovector effective mass mp*−mn* derived from relativistic Brueckner theory is used to determine the coupling strength of the δ meson and its density dependence.

Origin of the neutron skin thickness of 208Pb in nuclear mean-field models

We study whether the neutron skin thickness Δrnp of 208Pb originates from the bulk or from the surface of the nucleon density distributions, according to the mean-field models of nuclear structure, and find that it depends on the stiffness of the nuclear symmetry energy. The bulk contribution to Δrnp arises from an extended sharp radius of neutrons, whereas the surface contribution arises from different widths of the neutron and proton surfaces. Nuclear models where the symmetry energy is stiff, as typical of relativistic models, predict a bulk contribution in Δrnp of 208Pb about twice as large as the surface contribution. In contrast, models with a soft symmetry energy like common nonrelativistic models predict that Δrnp of 208Pb is divided similarly into bulk and surface parts. Indeed, if the symmetry energy is supersoft, the surface contribution becomes dominant. We note that the linear correlation of Δrnp of 208Pb with the density derivative of the nuclear symmetry energy arises from the bulk part of Δrnp. We also note that most models predict a mixed-type (between halo and skin) neutron distribution for 208Pb. Although the halo-type limit is actually found in the models with a supersoft symmetry energy, the skin-type limit is not supported by any mean-field model. Finally, we compute parity-violating electron scattering in the conditions of the 208Pb parity radius experiment (PREX) and obtain a pocket formula for the parity-violating asymmetry in terms of the parameters that characterize the shape of the 208Pb nucleon densities.

Nuclear receptor PPARS function in stem cell differentiation and bone physiology

In adult, bone remodeling is a permanent process, reaching an annual turnover of about 10% of the skeleton. Bone remodeling requires the sequential and coordinated actions of the hematopoietic origin osteoclasts, to remove bone and the mesenchymal origin osteoblasts to replace it. An increased level of bone resorption is the primary cause of age-related bone loss often resulting in osteopenia, and is the major cause of osteoporosis.¦Peroxisome proliferator-activated receptors (PPARs), which are expressed in three isotypes, PPARa, PPARp and PPARy, are ligand-activated transcription factors that control many cellular and metabolic processes, more particularly linked to lipid metabolism. In bone, previous works has shown that PPARy inhibits osteogenesis by favoring adipogenesis from common mesenchymal progenitors. In addition, the pro-osteoclastogenesis activity of PPARy results in an increased bone resorption. Accordingly, treatment with PPARy agonist such as the anti-diabetic drug TZD causes bone loss and accumulation of marrow adiposity in mice as well as in postmenopausal women. The aim of the present thesis work was to elucidate the PPARs functions in bone physiology.¦The initial characterization of the PPARP" bone phenotype mainly revealed a decreased BMD. In vitro studies exploring the potency of mesenchymal stem cells to differentiate in osteoblast showed no differences depending on the genotype. However, we could demonstrate an effect of PPARp in partially inhibiting osteoclastogenesis. These results are further sustained by a study made in collaboration with the group of Dr Kronke, which showed an impressive protection against ovariectomy-generated bone loss when the females are treated with a PPARp agonist.¦Observations in PPARy null mice are more complex. The lab has recently been able to generate mice carrying a total deletion of PPARy. Intriguingly, the exploration of the bone phenotype of these mice revealed paradoxical findings. Whereas short bones such as vertebrae exhibit an elevated BMD as expected, long bones (tibia and femur) are clearly osteoporotic. According to their activity when set in culture, osteoblast differentiation normally occurs. Indeed the phenotype can be mainly attributed to a high density of osteoclasts in the cortical bone of PPARy null mice, associated to large bone resorption areas.¦Our explorations suggest a mechanism that involves regulatory processes linking osteoclastogenesis to adipogenesis, the latter being totally absent in PPARy null mice. Indeed, the lack of adipose tissue creates a favorable niche for osteoclastogenesis since conditioned medium made from differentiated adipocyte 3T3L1 inhibited osteoclastogenesis from both PPARy-/- and WT cells. Thus, adipokines deficiency in PPARy-/- mice contributes to de- repress osteoclastogenesis. Using specific blocking antibody, we further identified adiponectin as the major player among dozens of adipokines. Using flow cytometry assay, we explored the levels at which the osteoclastic commitment was perturbed in the bone marrow of PPARy-/- mice. Intriguingly, we observe a general decrease for hematopoietic stem cell and lineage progenitors but increased proportion of osteoclast progenitor in PPARy-/- bone marrow. The general decrease of HSC in the bone marrow is however largely compensated by an important extra-medullary hematopoeisis, taking place in the liver and in the spleen.¦These specific characteristics emphasize the key role of PPARy on a cross road of osteogenesis, adipogenesis and hematopoiesis/osteoclastogenesis. They underline the complexity of the bone marrow niche, and demonstrate the inter-dependance of different cell types in defining bone homeostasis, that may be overseen when experimental design single out pure cell populations.¦Chez l'adulte, même après la fin de la croissance, le renouvellement des os se poursuit et porte sur environ 10% de l'ensemble du squelette adulte, par année. Ce renouvellement implique à la fois des mécanismes séquentiels et coordonnés des ostéoclastes d'origine hématopoïetique, qui dégradent l'os, et des ostéoblastes d'origine mésenchymale, qui permettent la régénération de l'os. La perte en densité osseuse due à l'âge entraîne un fort niveau de résorption, conduisant souvent à une ostéopénie, elle-même cause de l'ostéoporose.¦Les trois isotypes PPAR (Peroxisome proliferator-activated receptor, PPARa, PPARp, et PPARy) sont des récepteurs nucléaires qui contrôlent de nombreux mécanismes cellulaires et métaboliques, plus particulièrement liés au métabolisme lipidique. Au niveau osseux, des travaux précédents ont montré que PPARy inhibe l'ostéoblastogenèse en favorisant la formation d'adipocytes à partir de la cellule progénitrice commune. De plus, l'activité pro- ostéoclastogénique de PPARy induit une résorption osseuse accrue. Condormément à ces observations, les patients diabétiques traités par les thiazolidinediones qui agissent sur PPARy, ont un risque accrue d'ostéoporose liée à une perte osseuse accrue et un accroissement de l'adiposité au niveau de la moelle osseuse. Dans ce contexte, l'objectif de mon travail de thèse a été d'élucider le rôle des PPAR dans la physiologie osseuse, en s'appuyant sur le phénotype des souris porteuses de mutation pour PPAR.¦La caractérisation initiale des os des souris porteuses d'une délétion de ΡΡΑΕφ a principalement révélé une diminution de la densité minérale osseuse (DMO). Alors que l'ostéogenèse n'est pas significativement altérée chez ces souris, l'ostéoclastogenèse est elle augmentée, suggérant un rôle modérateur de ce processus par ΡΡΑΕΙβ. Ces résultats sont par ailleurs soutenus par une étude menée par le groupe du Dr Krônke en collaboration avec notre groupe, et qui monte une protection très importante des souris traitées par un activateur de PPARP contre l'ostéoporose provoquée par l'ovariectomie.¦Les observations concernant PPARy donnent des résultats plus complexes. Le laboratoire a en effet été capable récemment de générer des souris portant une délétion totale de PPARy. Alors que les os courts chez ces souris présentent une augmentation de la DMO, comme attendu, les os longs sont clairement ostéoporotiques. Ce phénotype corrèle avec une densité élevée d'ostéoclastes dans l'os cortical de ces os longs. Deux processus semblent contribuer à ce phénotype. En premier lieu, nous démontrons qu'un milieu conditionné provenant de cultures de cellules 3T3-L1 différenciées en adipocytes contiennent une forte activité inhibitrice d'osteoclastogenesis. L'utilisation d'anticorps neutralisant permet d'identifier l'adiponectine comme l'un des facteurs principaux de cette inhibition. Les souris PPARy étant totalement dépourvues d'adipocytes et donc de tissu adipeux, la sécrétion locale d'adiponectine dans la moelle osseuse est donc également absente, entraînant une désinhibition de l'ostéoclastogenèse. En second lieu, des analyses par FACS révèle une proportion accrue des cellules progénitrices d'ostéoclastes dans la moelle osseuse. Cela s'accompagne par une diminution globale des cellules souches hématopoïétiques, qui est cependant largement compensée par une importante hématopoëise extra-médullaire, dans le foie comme dans la rate.¦L'ensemble de notre travail montre toute l'importance de PPARy au carrefour de l'ostéogenèse, adipogenèse, et hématopoëise/osteoclastogenèse. Il souligne la complexité de la niche que représente la moelle osseuse et démontre l'inter-dépendance des différents types cellulaires définissant l'homéostasie osseuse, complexité qui peut facilement être masqué lorsque le travail expérimental se concentre sur le comportement d'un type cellulaire donné.

Monte Carlo simulation of a clearance box monitor used for nuclear power plant decommissioning.

When decommissioning a nuclear facility it is important to be able to estimate activity levels of potentially radioactive samples and compare with clearance values defined by regulatory authorities. This paper presents a method of calibrating a clearance box monitor based on practical experimental measurements and Monte Carlo simulations. Adjusting the simulation for experimental data obtained using a simple point source permits the computation of absolute calibration factors for more complex geometries with an accuracy of a bit more than 20%. The uncertainty of the calibration factor can be improved to about 10% when the simulation is used relatively, in direct comparison with a measurement performed in the same geometry but with another nuclide. The simulation can also be used to validate the experimental calibration procedure when the sample is supposed to be homogeneous but the calibration factor is derived from a plate phantom. For more realistic geometries, like a small gravel dumpster, Monte Carlo simulation shows that the calibration factor obtained with a larger homogeneous phantom is correct within about 20%, if sample density is taken as the influencing parameter. Finally, simulation can be used to estimate the effect of a contamination hotspot. The research supporting this paper shows that activity could be largely underestimated in the event of a centrally-located hotspot and overestimated for a peripherally-located hotspot if the sample is assumed to be homogeneously contaminated. This demonstrates the usefulness of being able to complement experimental methods with Monte Carlo simulations in order to estimate calibration factors that cannot be directly measured because of a lack of available material or specific geometries.

The nuclear hormone receptor PPARγ counteracts vascular calcification by inhibiting Wnt5a signalling in vascular smooth muscle cells.

Vascular calcification is a hallmark of advanced atherosclerosis. Here we show that deletion of the nuclear receptor PPARγ in vascular smooth muscle cells of low density lipoprotein receptor (LDLr)-deficient mice fed an atherogenic diet high in cholesterol, accelerates vascular calcification with chondrogenic metaplasia within the lesions. Vascular calcification in the absence of PPARγ requires expression of the transmembrane receptor LDLr-related protein-1 in vascular smooth muscle cells. LDLr-related protein-1 promotes a previously unknown Wnt5a-dependent prochondrogenic pathway. We show that PPARγ protects against vascular calcification by inducing the expression of secreted frizzled-related protein-2, which functions as a Wnt5a antagonist. Targeting this signalling pathway may have clinical implications in the context of common complications of atherosclerosis, including coronary artery calcification and valvular sclerosis.

Study of the impact of tissue density heterogeneities on 3-dimensional abdominal dosimetry: comparison between dose kernel convolution and direct monte carlo methods.

Dose kernel convolution (DK) methods have been proposed to speed up absorbed dose calculations in molecular radionuclide therapy. Our aim was to evaluate the impact of tissue density heterogeneities (TDH) on dosimetry when using a DK method and to propose a simple density-correction method. METHODS: This study has been conducted on 3 clinical cases: case 1, non-Hodgkin lymphoma treated with (131)I-tositumomab; case 2, a neuroendocrine tumor treatment simulated with (177)Lu-peptides; and case 3, hepatocellular carcinoma treated with (90)Y-microspheres. Absorbed dose calculations were performed using a direct Monte Carlo approach accounting for TDH (3D-RD), and a DK approach (VoxelDose, or VD). For each individual voxel, the VD absorbed dose, D(VD), calculated assuming uniform density, was corrected for density, giving D(VDd). The average 3D-RD absorbed dose values, D(3DRD), were compared with D(VD) and D(VDd), using the relative difference Δ(VD/3DRD). At the voxel level, density-binned Δ(VD/3DRD) and Δ(VDd/3DRD) were plotted against ρ and fitted with a linear regression. RESULTS: The D(VD) calculations showed a good agreement with D(3DRD). Δ(VD/3DRD) was less than 3.5%, except for the tumor of case 1 (5.9%) and the renal cortex of case 2 (5.6%). At the voxel level, the Δ(VD/3DRD) range was 0%-14% for cases 1 and 2, and -3% to 7% for case 3. All 3 cases showed a linear relationship between voxel bin-averaged Δ(VD/3DRD) and density, ρ: case 1 (Δ = -0.56ρ + 0.62, R(2) = 0.93), case 2 (Δ = -0.91ρ + 0.96, R(2) = 0.99), and case 3 (Δ = -0.69ρ + 0.72, R(2) = 0.91). The density correction improved the agreement of the DK method with the Monte Carlo approach (Δ(VDd/3DRD) < 1.1%), but with a lesser extent for the tumor of case 1 (3.1%). At the voxel level, the Δ(VDd/3DRD) range decreased for the 3 clinical cases (case 1, -1% to 4%; case 2, -0.5% to 1.5%, and -1.5% to 2%). No more linear regression existed for cases 2 and 3, contrary to case 1 (Δ = 0.41ρ - 0.38, R(2) = 0.88) although the slope in case 1 was less pronounced. CONCLUSION: This study shows a small influence of TDH in the abdominal region for 3 representative clinical cases. A simple density-correction method was proposed and improved the comparison in the absorbed dose calculations when using our voxel S value implementation.