Let A be a set of trivariate irreducible integral polynomials and let D be an A-invariant cylindrical algebraic decomposition (cad) of three-dimensional space. This paper presents a new algorithm for determining the interstack adjacencies in D over a given non-nullifying (for A) 0-cell, 1-cell adjacency in the cad D 0 of the plane induced by D. We show that this new adjacency algorithm for thre...

R. Winkler,* A. Gade, T. Baugher, D. Bazin, B. A. Brown, T. Glasmacher, G. F. Grinyer, R. Meharchand,* S. McDaniel, A. Ratkiewicz, and D. Weisshaar National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA (Received 27 February 2012; published 30 Ap...

The distribution of p+ Gamow-Teller strength in 26Mg, 54Fe and 56Ni is calculated in the QRPA and large-basis shell-model spaces. The quenching relative to the simplest jj coupled model found in the QRPA is similar to that found in a shell-model basis which includes 2p2h ground-state correlations within the major shell (sd or pf). For 26Mg there is significant additional quenching found in the ...

The neutron charge form factor G En (q) is determined from an analysis of the deuteron quadrupole form factor F C2 (q) data. Recent calculations, based on a variety of different model interactions and currents, indicate that the contributions associated with the uncertain two-body operators of shorter range are relatively small for F C2 (q), even at large momentum transfer q. Hence, G En (q) ca...

dand f -shells support a large number of local degrees of freedom: dipoles, quadrupoles, octupoles, hexadecapoles, etc. Usually, the ordering of any multipole component leaves the system sufficiently symmetrical to allow a second symmetry breaking transition. To classify the possibilities, one has to construct the symmetry group of the first ordered phase, and then re-classify the order paramet...

We present ab initio calculations of both the dipole and quadrupole polarizabilities within the framework of the relativistic coupled-cluster theory. We directly solve the first order perturbed equation arising from a general one-electron perturbation, thereby avoiding an explicit summation over intermediate states. This method can be applied to a wide range of problems including the high preci...

We present the analysis on the quadrupole phases of the Internal Linear Combination map, ILC(I) and (III) derived by the WMAP team (1 and 3-year data release). This approach allows us to see the global trend of non-Gaussianity of the quadrupoles for the ILC(III) map through phase correlations with the foregrounds. Significant phase correlations is found in between the ILC(III) quadrupole and th...

Over the years, the ev8 code has been a very useful tool for the study of nuclear mean-field theory. Its main characteristic is that it solves the Hartree-Fock plus BCS equations for Skyrme type functionals via a discretization of the individual wave-functions on a three-dimensional cartesian mesh. This allows maximal flexibility in the determination of the nuclear shape by the variational proc...

Multipole expansions depend on the coordinate system, so that coefficients of multipole moments can be set equal to zero by an appropriate choice of coordinates. Therefore, it is meaningless to say that a physical system has a nonvanishing quadrupole moment, say, without specifying which coordinate system is used. (Except if this moment is the lowest non-vanishing one.) This result is demonstra...

We review Maxwell’s multipole vectors, and elucidate some of their mathematical properties, with emphasis on the application of this tool to the cosmic microwave background (CMB). In particular, for a completely random function on the sphere (corresponding to the statistically isotropic Gaussian model of the CMB), we derive the full probability density function of the multipole vectors. This fu...