Shapes and Dynamics from the Time-Dependent Mean Field

Explaining observed properties in terms of underlying shape degrees of freedom is a well--established prism with which to understand atomic nuclei. Self--consistent mean--field models provide one tool to understand nuclear shapes, and their link to other nuclear properties and observables. We present examples of how the time--dependent extension of the mean--field approach can be used in particular to shed light on nuclear shape properties, particularly looking at the giant resonances built on deformed nuclear ground states, and at dynamics in highly-deformed fission isomers. Example calculations are shown of $^{28}$Si in the first case, and $^{240}$Pu in the latter case.Comment: 9 pages, 5 figures, to appear in proceedings of International Workshop "Shapes and Dynamics of Atomic Nuclei: Contemporary Aspects" (SDANCA-15), 8-10 October 2015, Sofia, Bulgari

Cause of the charge radius isotope shift at the \emph{N}=126 shell gap

We discuss the mechanism causing the `kink' in the charge radius isotope shift at the N=126 shell closure. The occupation of the 1$i_{11/2}$ neutron orbital is the decisive factor for reproducing the experimentally observed kink. We investigate whether this orbital is occupied or not by different Skyrme effective interactions as neutrons are added above the shell closure. Our results demonstrate that several factors can cause an appreciable occupation of the 1$i_{11/2}$ neutron orbital, including the magnitude of the spin-orbit field, and the isoscalar effective mass of the Skyrme interaction. The symmetry energy of the effective interaction has little influence upon its ability to reproduce the kink.Comment: 4 pages, 4 figures, to be submitted to proceedings of INPC 201

Detection of Spiral photons in Quantum Optics

We show that a new type of photon detector, sensitive to the gradients of electromagnetic fields, should be a useful tool to characterize the quantum properties of spatially-dependent optical fields. As a simple detector of such a kind, we propose using magnetic dipole or electric quadrupole transitions in atoms or molecules and apply it to the detection of spiral photons in Laguerre-Gauss (LG) beams. We show that LG beams are not true hollow beams, due to the presence of magnetic fields and gradients of electric fields on beam axis. This approach paves the way to an analysis at the quantum level of the spatial structure and angular momentum properties of singular light beams.Comment: 5 pages, 4 figure

DEVELOPING CIVICALLY ENGAGED, JUSTICE ORIENTED CHURCHES RIGHT FROM THE START - A HISPANIC PENTECOSTAL PERSPECTIVE

Most church planting training programs train pastors in typical church operations systems as well as how to build their teams with a strong mission. However, often their training is vague and even non-existent in the area of biblical justice and advocacy, an area of pressing need in the changing face of the United States. We are more racially divided than ever, and we struggle with a myriad of socio-economic issues that need to be addressed at the root level. Those who are called to plant churches must therefore understand that unlike any other time in history, church planting today requires an additional set of skills, particularly when planting in urban locations where lack of justice abounds. This research project provides a biblical basis and justification for training church pastors to establish civically engaged, justice-oriented churches right from the start by returning to an old framework of partnership between evangelization and justice, which I suggest is particularly important for churches who desire to make a real difference in their communities and to be more effective in bringing long-term, sustainable change. Chapter One introduces the problem, and its relation to the ministry of the writer. Chapter Two explores a biblical and theological framework in support of justice-oriented church planting through a selective reading of key texts. Chapter Three discusses the Hispanic population\u27s importance in the United States, which is the particular population of interest as it relates to church planting. Chapter Four reports on data collection and analysis as well as describing the content of seminar sessions. Chapter Five and Six discuss lessons learned and recommendations for further research