Average ground-state energy of finite Fermi systems

Semiclassical theories such as the Thomas-Fermi and Wigner-Kirkwood methods give a good description of the smooth average part of the total energy of a Fermi gas in some external potential when the chemical potential is varied. However, in systems with a fixed number of particles N, these methods overbind the actual average of the quantum energy as N is varied. We describe a theory that accounts for this effect. Numerical illustrations are discussed for fermions trapped in a harmonic oscillator potential and in a hard-wall cavity, and for self-consistent calculations of atomic nuclei. In the latter case, the influence of deformations on the average behavior of the energy is also considered.

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.

Critical review of K- ppn bound states

We make a thorough study of the process of three-body kaon absorption in nuclei, in connection with a recent FINUDA experiment which claims the existence of a deeply bound kaonic state from the observation of a peak in the Lambdad invariant mass distribution following K- absorption on 6Li. We show that the peak is naturally explained in terms of K- absorption from three nucleons leaving the rest as spectators. We can also reproduce all the other observables measured in the same experiment and used to support the hypothesis of the deeply bound kaon state. Our study also reveals interesting aspects of kaon absorption in nuclei, a process that must be understood in order to make progress in the search for K- deeply bound states in nuclei.

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.

Distribution of single-particle strength due to short-range and tensor correlations

The distribution of single-particle strength in nuclear matter is calculated for a realistic nucleon-nucleon interaction. The influence of the short-range repulsion and the tensor component of the nuclear force on the spectral functions is to move approximately 13% of the total strength for all single-particle states beyond 100 MeV into the particle domain. This result is related to the abundantly observed quenching phenomena in nuclei which include the reduction of spectroscopic factors observed in (e,ep) reactions and the missing strength in low energy response functions.

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.

Ultra-High Field (7 Tesla) MRI for Gamma Knife Surgery Targeting of the Ventro-Intermediate Nucleus: A Pilot in Vivo Study

Aim: Gamma Knife surgery (GKS) is a non-invasive neurosurgical stereotactic procedure, increasingly used as an alternative to open functional procedures. This includes the targeting of the ventro-intermediate (Vim) nucleus of the thalamus for tremor. We currently perform an indirect targeting, using the "quadrilatere of Guyot," as the Vim nucleus is not visible on current 3 Tesla (T) MRI acquisitions. The primary objective of the current study was to enhance anatomic imaging for Vim GKS using high-field (7 T) MRI, with the aim of refining the visualization and precision of anatomical targeting. Method: Five young healthy subjects (mean age 23 years) were scanned both on 3 and 7 T MRI in Lausanne University Hospital (CHUV) and Center for Biomedical Imaging (CIBM). Classical T1-weighted MPRAGE, T2 CISS sequences (replacing former ventriculography) and diffusion tensor imaging were acquired at 3T. We obtained high-resolution susceptibility weighted images (SWI) at 7T for the visualization of thalamic subparts. SWI was further integrated for the first time into Leksell Gamma Plan® (LGP) software and co-registered with the 3T images. A simulation of targeting of the Vim was done using the "quadrilatere of Guyot" methodology on the 3T images. Furthermore, a correlation with the position of the found target on SWI was performed. The atlas of Morel et al. was used to confirm the findings on a detailed computer analysis outside LGP. Also, 3T and 7T MRI of one patient undergoing GKS Vim thalamotomy, were obtained before and 2 years after the procedure, and studied similarly. Results: The use of SWI provided a superior resolution and improved image contrast within the central gray matter. This allowed visualization and direct delineation of groups of thalamic nuclei in vivo, including the Vim. The position of the target, as assessed with the "quadrilatere of Guyot" method on 3 T, perfectly matched with the supposed one of the Vim on the SWI. Furthermore, a 3-dimensional model of the Vim target area was created on the basis of 3T and 7T images. Conclusion: This is the first report of the integration of SWI high-field MRI into the LGP in healthy subjects and in one patient treated GKS Vim thalamotomy. This approach aims at the improvement of targeting validation and further direct targeting of the Vim in tremor. The anatomical correlation between the direct visualization on 7T and the current targeting methods on 3T seems to show a very good anatomical matching.

Bax-induced apoptosis in Leber's congenital amaurosis : a dual role in rod and cone degeneration

Purpose:We previously observed that anti- and pro-apoptotic genes of the Bcl-2 family were differentially expressed during the development of LCA in the Rpe65-/- mouse model (Cottet et al. 2006). Moreover, we reported that activation and translocation of pro-apoptotic Bax to the mitochondria was associated with apoptosis of rod photoreceptors as the disease progressed (Cottet et al. 2008). In this study we challenged whether disruption of the pro-apoptotic pro-apoptotic Bax protein is sufficient to protect photoreceptor cells against apoptosis. Methods:Apoptosis of photoreceptor cells was addressed by TUNEL assay on flatmounted retinas. Counting of the rod nuclei within the ONL was performed following hematoxylin/eosin histological staining of retina sections. Expression level and localization of photoreceptor gene markers were assessed by quantitative PCR and immunohistological analyses. Results:While expression of rod photoreceptor genes was decreased in Rpe65-deficient retina, expression level remained unchanged in Rpe65-/- / Bax-/- mice. Moreover, OS dysorganization and shortening as well as decrease in ONL thickness observed in diseased retina were prevented in mice lacking functional Bax protein. TUNEL assay confirmed that Bax-dependent rod photoreceptor apoptosis was abolished in Rpe65-/- / Bax-/- mice. However, early and fast degeneration of cone cells was not prevented in Rpe65-/- / Bax-/- mice, indicating that Bax-induced apoptotic pathway was not involved in the degenerating process of cones in Rpe65-deficient retina. Conclusions:Altogether, these data show for the first time that a single genetic mutation can trigger two independent apoptotic pathways in rod and cone photoreceptors in LCA disease. While pro-apoptotic Bax is essential to trigger rod photoreceptor apoptosis, early degeneration of cones is not dependent on Bax-mediated apoptotic pathway in Rpe65-deficientmice.

Prevalence of t(11;19)(q21;p13) Translocation in Mucoepidermoid Carcinoma of the Conjunctiva

Purpose: The genetics events occurring in the development of mucoepidermoid carcinoma of the conjunctiva have not been extensively investigated. A t(11;19)(q21;p13) translocation has been reported in more than 50% of mucoepidermoid carcinoma of the salivary glands. This translocation induces a chimeric MECT1-MAML2 protein that act as a transcription activation factor in CREB and Notch pathways. Sustained expression of MECT1-MALM2 in RKE3 cells was tumorigenic in a mouse model. The presence of this translocation has been correlated with a better prognosis in mucoepidermoid carcinoma of the salivary glands. The purpose of this study was to identify the presence or absence of this translocation in mucoepidermoid carcinoma of the conjunctiva.Methods: We retrospectively reviewed all conjunctival mucoepidermoid carcinoma cases from the pathological files of Jules Gonin Eye Hospital from 1960-2010. The relevant clinico-pathological data was obtained. The presence of the t(11;19)(q21;p13) translocation was investigated by FISH using a dual color break apart probe. 100 nuclei were evaluated in each case. Normal conjunctiva was included as a control.Results: Material for FISH analysis was available in 9 patients (11 tumors). There were 2 females and 7 males. The mean age was years 71, 4 years old. Tumors were involving the bulbar conjunctiva in 6 cases and the tarsal conjunctiva in 5 cases. In a young patient of 30 years old, mucoepidermoid carcinoma was developed in the context of Xeroderma Pigmentosum. Hybridization could successfully be performed in 8 patients (9 tumors). No disruption of the dual color fusion signal was observed in all the cases, suggesting an absence of t(11;19)(q21;p13) translocation in mucoepidermoid carcinoma of the conjunctiva.Conclusions: Although our study encompasses only a limited number of cases due to the rarity of mucoepidermoid carcinoma of the conjunctiva, it demonstrates that a translocation commonly found in this tumor at other locations is not identified in the conjunctiva, suggesting that different mechanisms occur in the development of these tumors.

Fluid dynamical prediction of changed v1 flow at energies available at the CERN Large Hadron Collider

Substantial collective flow is observed in collisions between lead nuclei at Large Hadron Collider (LHC) as evidenced by the azimuthal correlations in the transverse momentum distributions of the produced particles. Our calculations indicate that the global v1-flow, which at RHIC peaked at negative rapidities (named third flow component or antiflow), now at LHC is going to turn toward forward rapidities (to the same side and direction as the projectile residue). Potentially this can provide a sensitive barometer to estimate the pressure and transport properties of the quark-gluon plasma. Our calculations also take into account the initial state center-of-mass rapidity fluctuations, and demonstrate that these are crucial for v1 simulations. In order to better study the transverse momentum flow dependence we suggest a new "symmetrized" v1S(pt) function, and we also propose a new method to disentangle global v1 flow from the contribution generated by the random fluctuations in the initial state. This will enhance the possibilities of studying the collective Global v1 flow both at the STAR Beam Energy Scan program and at LHC.

η'-nucleus optical potential and possible η' bound states

Starting from a recent model of the η′N interaction, we evaluate the η ′-nucleus optical potential, including the contribution of lowest order in density, tρ/2mη′, together with the second-order terms accounting for η′ absorption by two nucleons. We also calculate the formation cross section of the η′bound states from (π, p) reactions on nuclei. The η′-nucleus potential suffers from uncertainties tied to the poorly known η′N interaction, which can be partially constrained by the experimental modulus of the η′N scattering length and/or the recently measured transparency ratios in η′nuclear photoproduction. Assuming an attractive interaction and taking the claimed experimental value |aη′N|= 0.1 fm, we obtain an η′optical potential in nuclear matter at saturation density of Vη′=−(8.7 + 1.8i) MeV, not attractive enough to produce η′bound states in light nuclei. Larger values of the scattering length give rise to deeper optical potentials, with moderate enough imaginary parts. For a value |aη′N|= 0.3 fm, which can still be considered to lie within the uncertainties of the experimental constraints, the spectra of light and medium nuclei show clear structures associated to η′-nuclear bound states and to threshold enhancements in the unbound region.

Transparency ratio in γ A -> η' A ' and the in-medium η ' width

The photoproduction of η′η′-mesons off different nuclei has been measured with the CBELSA/TAPS detector system for incident photon energies between 15002200 MeV. The transparency ratio has been deduced and compared to theoretical calculations describing the propagation of η′η′-mesons in nuclei. The comparison indicates a width of the η′η′-meson of the order of Γ=1525 MeVΓ=1525 MeV at ρ=ρ0ρ=ρ0 for an average momentum pη′=1050 MeV/cpη′=1050 MeV/c, at which the η′η′-meson is produced in the nuclear rest frame. The inelastic η′Nη′N cross section is estimated to be 310 mb. Parameterizing the photoproduction cross section of η′η′-mesons by σ(A)=σ0Aασ(A)=σ0Aα, a value of α=0.84±0.03α=0.84±0.03 has been deduced.

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.

Scaling calculation of isoscalar giant resonances in relativistic Thomas-Fermi theory

We derive analytical expressions for the excitation energy of the isoscalar giant monopole and quadrupole resonances in finite nuclei, by using the scaling method and the extended ThomasFermi approach to relativistic mean-field theory. We study the ability of several nonlinear σω parameter sets of common use in reproducing the experimental data. For monopole oscillations the calculations agree better with experiment when the nuclear matter incompressibility of the relativistic interaction lies in the range 220260 MeV. The breathing-mode energies of the scaling method compare satisfactorily with those obtained in relativistic RPA and time-dependent mean-field calculations. For quadrupole oscillations, all the analyzed nonlinear parameter sets reproduce the empirical trends reasonably well.

Pigs Transgenic For Human Dominant Mutations Of The GUCY2D Gene

Purpose: Studies on large animal models are an important step to test new therapeutical strategies before human application. Considering the importance of cone function for human vision and the paucity of large animal models for cone dystrophies having an enriched cone region, we propose to develop a pig model for cone degeneration. With a lentiviral-directed transgenesis, we obtained pigs transgenic for a cone-dominant mutant gene described in a human cone dystrophy.Methods: Lentiviral vectors encoding the human double mutant GUCY2DE837D/R838S cDNA under the control of a region of the pig arrestin-3 promoter (Arr3) was produced and used for lentiviral-derived transgenesis in pigs. PCR-genotyping and southern blotting determined the genotype of pigs born after injection of the vector at the zygote stage. Retina function analysis was performed by ERG and behavioral tests at 11, 24 and 54 weeks of age. OCT and histological analyses were performed to describe the retina morphology.Results: The ratio of transgenic pigs born after lentiviral-directed transgenesis was close to 50%. Transgenic pigs with 3 to 5 transgene copies per cell clearly present a reduced photopic response from 3 months of age on. Except for one pig, which has 6 integrated transgene copies, no dramatic decrease in general mobility was observed even at 6 months of age. OCT examinations reveal no major changes in the ONL structure of the 6-months old pigs. The retina morphology was well conserved in the 2 pigs sacrificed (3 and 6 months old) except a noticeable displacement of some cone nuclei in the outer segment layer.Conclusions: Lentiviral-directed transgenesis is a rapid and straightforward method to engineer transgenic pigs. Some Arr3-GUCY2DE837D/R838S pigs show signs of retinal dysfunction but further work is needed to describe the progression of the disease in this model.