There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

다중혈관 관상동맥 환자에서 y-문합을 이용하여 양쪽 내흉동맥만을 사용한 우회술의 조기 성적

Deposits of clastic carbonate-dominated (calciclastic) sedimentary slope systems in the rock record have been identified mostly as linearly-consistent carbonate apron deposits, even though most ancient clastic carbonate slope deposits fit the submarine fan systems better. Calciclastic submarine fans are consequently rarely described and are poorly understood. Subsequently, very little is known especially in mud-dominated calciclastic submarine fan systems. Presented in this study are a sedimentological core and petrographic characterisation of samples from eleven boreholes from the Lower Carboniferous of Bowland Basin (Northwest England) that reveals a >250 m thick calciturbidite complex deposited in a calciclastic submarine fan setting. Seven facies are recognised from core and thin section characterisation and are grouped into three carbonate turbidite sequences. They include: 1) Calciturbidites, comprising mostly of highto low-density, wavy-laminated bioclast-rich facies; 2) low-density densite mudstones which are characterised by planar laminated and unlaminated muddominated facies; and 3) Calcidebrites which are muddy or hyper-concentrated debrisflow deposits occurring as poorly-sorted, chaotic, mud-supported floatstones. These

Phd by thesis

The authors review the present status of self-consistent mean-field (SCMF) models for describing nuclear structure and low-energy dynamics. These models are presented as effective energy-density functionals. The three most widely used variants of SCMF's based on a Skyrme energy functional, a Gogny force, and a relativistic mean-field Lagrangian are considered side by side. The crucial role of the treatment of pairing correlations is pointed out in each case. The authors discuss other related nuclear structure models and present several extensions beyond the mean-field model which are currently used. Phenomenological adjustment of the model parameters is discussed in detail. The performance quality of the SCMF model is demonstrated for a broad range of typical applications.

Self-consistent mean-field models for nuclear structure

Annals of physics

The authors report a fully relativistic description of the $0\ensuremath{\nu}\phantom{\rule{0}{0ex}}\ensuremath{\beta}\phantom{\rule{0}{0ex}}\ensuremath{\beta}$-decay matrix element from ${}^{150}$Nd to ${}^{150}$Sm based on a state-of-the-art nuclear structure model The calculations reproduce the low-energy spectra and electric quadrupole transitions in both nuclei well The results are promising for next-generation double-$\ensuremath{\beta}$ decay experiments

Relativistic description of nuclear matrix elements in neutrinoless double- β decay

Single-particle resonant states in spherical nuclei are studied by an analytic continuation in the coupling constant (ACCC) method within the framework of the self-consistent relativistic mean field (RMF) theory. Taking the neutron resonant state nu1g(9/2) in Ca-60 as an example, we examine the analyticity of the eigenvalue and eigenfunction for the Dirac equation with respect to the coupling constant by means of a Pade approximant of the second kind. The RMF-ACCC approach is then applied to Zr-122 and, for the first time, this approach is employed to investigate both the energies, widths, and wave functions for lnot equal0 resonant states close to the continuum threshold. Predictions are also compared with corresponding results obtained from the scattering phase shift method.

Analytic continuation of single-particle resonance energy and wave function in relativistic mean field theory

The time-odd triaxial relativistic mean field approach is developed and applied to the investigation of the ground-state properties of light odd-mass nuclei near the double-closed shells. The nuclear magnetic moments including the isoscalar and isovector ones are calculated, and good agreement with Schmidt values is obtained. Taking F-17 as an example, the splitting of the single-particle levels (around 0.7 MeV near the Fermi level), the nuclear current, the core polarizations, and the nuclear magnetic potential, i.e., the spatial part of the vector potential due to the violation of the time reversal invariance, are investigated in detail.

Time-odd triaxial relativistic mean field approach for nuclear magnetic moments

Using the two-parameter expression for rotational spectra, {ital E}({ital I})={ital a}( {radical}1+{ital bI}({ital I}+1) {minus}1), derived from the Bohr Hamiltonian, the spins of 22 superdeformed bands observed in the {ital A}{similar to}190 region were determined The calculated transition energies depend sensitively on the prescribed spins The agreement between the calculated and observed transition energies is incredibly well when a correct spin assignment is made The kinematic and dynamic moments of inertia were extracted from the observed transition energies and their variation with rotational frequency was investigated

Spin determination and calculation of nuclear superdeformed bands in A~190 region.

The self-consistent random-phase approximation, based on the framework of relativistic energy density functionals, is employed in the study of isovector and isoscalar dipole response in 68Ni, 132Sn, and 208Pb. The evolution of pygmy dipole states (PDSs) in the region of low excitation energies is analyzed as a function of the density dependence of the symmetry energy for a set of relativistic effective interactions. The occurrence of PDSs is predicted in the response to both the isovector and the isoscalar dipole operators, and its strength is enhanced with the increase in the symmetry energy at saturation and the slope of the symmetry energy. In both channels, the PDS exhausts a relatively small fraction of the energy-weighted sum rule but a much larger percentage of the inverse energy-weighted sum rule. For the isovector dipole operator, the reduced transition probability B(E1) of the PDSs is generally small because of pronounced cancellation of neutron and proton partial contributions. The isoscalar-reduced transition amplitude is predominantly determined by neutron particle-hole configurations, most of which add coherently, and this results in a collective response of the PDSs to the isoscalar dipole operator.

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Jie Meng

Papers

Relativistic description of nuclear matrix elements in neutrinoless double- β decay

Analytic continuation of single-particle resonance energy and wave function in relativistic mean field theory

Time-odd triaxial relativistic mean field approach for nuclear magnetic moments

Spin determination and calculation of nuclear superdeformed bands in A~190 region.

Low-energy isovector and isoscalar dipole response in neutron-rich nuclei