Systematic investigation of projectile fragmentation using beams of unstable B and C isotopes

Background: Models describing nuclear fragmentation and fragmentation fission deliver important input for planning nuclear physics experiments and future radioactive ion beam facilities. These models are usually benchmarked against data from stable beam experiments. In the future, two-step fragmentation reactions with exotic nuclei as stepping stones are a promising tool for reaching the most neutron-rich nuclei, creating a need for models to describe also these reactions. Purpose: We want to extend the presently available data on fragmentation reactions towards the light exotic region on the nuclear chart. Furthermore, we want to improve the understanding of projectile fragmentation especially for unstable isotopes. Method: We have measured projectile fragments from (10,12-18C) and B10-15 isotopes colliding with a carbon target. These measurements were all performed within one experiment, which gives rise to a very consistent data set. We compare our data to model calculations. Results: One-proton removal cross sections with different final neutron numbers (1 pxn) for relativistic C-10,C-12-18 and B10-15 isotopes impinging on a carbon target. Comparing model calculations to the data, we find that the EPAX code is not able to describe the data satisfactorily. Using ABRABLA07 on the other hand, we find that the average excitation energy per abraded nucleon needs to be decreased from 27 MeV to 8.1 MeV. With that decrease ABRABLA07 describes the data surprisingly well. Conclusions: Extending the available data towards light unstable nuclei with a consistent set of new data has allowed a systematic investigation of the role of the excitation energy induced in projectile fragmentation. Most striking is the apparent mass dependence of the average excitation energy per abraded nucleon. Nevertheless, this parameter, which has been related to final-state interactions, requires further study.

State-building y entorno de seguridad en los países de Oriente Medio. Especial referencia al subcomplejo de seguridad regional del Golfo

El objetivo principal de esta investigación es contribuir al debate académico sobre la problemática de seguridad/inseguridad que afecta a los Estados árabes de Oriente Medio, indagando sobre sus causas y reflexionando sobre sus consecuencias desde el enfoque de los estudios de seguridad y, más concretamente, desde la corriente que aborda la cuestión de la seguridad en el Tercer Mundo. Una perspectiva novedosa tanto desde el punto de vista de las investigaciones llevadas a cabo en nuestro país sobre la región de Oriente Medio, como de las investigaciones existentes en lengua árabe. El punto de partida de nuestra investigación consiste en cuestionar la capacidad explicativa de las teorías tradicionales y dominantes de seguridad al ser aplicadas al análisis de la seguridad nacional en el contexto particular del Tercer Mundo y, como parte de este, al mundo árabe en general. En nuestra opinión, este enfoque tradicional no permite entender las causas de la inestabilidad permanente que azota el Oriente Medio, al no conseguir captar la naturaleza esencial de dicha problemática. La razón fundamental es que los estudios de seguridad surgieron para explicar y dar respuesta a los problemas de la seguridad occidental. Aplicar indiscriminadamente los postulados de la definición de seguridad dominante a cualquier escenario no sólo limita enormemente el alcance del análisis, sino que distorsiona la realidad objeto de estudio. Esta limitación es aplicable también al explicar el escenario de inestabilidad e inseguridad del Oriente Medio. Con el propósito de abordar el vacío existente dentro de los estudios de seguridad relativos a la problemática de la seguridad en el Tercer Mundo, y de poder llegar a entender lo que no alcanzan a explicar las teorías clásicas sobre seguridad surge la corriente del Realismo Subalterno. Dentro del marco de la teoría realista, el Realismo Subalterno no se ha limitado únicamente a ser una manifestación más de contestación del concepto de seguridad tradicional, sino que se presenta como un instrumento analítico alternativo a los paradigmas y teorías dominantes sobre seguridad –tanto de la concepción realista tradicional como de los nuevos intentos de revisión del concepto-. Una perspectiva útil para explicar problemas contemporáneos de seguridad frente a la insuficiente capacidad de las teorías de seguridad clásicas, especialmente frente a los nuevos desafíos surgidos tras el final de la Guerra Fría...

Critical behavior of su(1|1) supersymmetric spin chains with long-range interactions

We introduce a general class of su(1|1) supersymmetric spin chains with long-range interactions which includes as particular cases the su(1|1) Inozemtsev (elliptic) and Haldane-Shastry chains, as well as the XX model. We show that this class of models can be fermionized with the help of the algebraic properties of the su(1|1) permutation operator and take advantage of this fact to analyze their quantum criticality when a chemical potential term is present in the Hamiltonian. We first study the low-energy excitations and the low-temperature behavior of the free energy, which coincides with that of a (1+1)-dimensional conformal field theory (CFT) with central charge c=1 when the chemical potential lies in the critical interval (0,E(π)), E(p) being the dispersion relation. We also analyze the von Neumann and Rényi ground state entanglement entropies, showing that they exhibit the logarithmic scaling with the size of the block of spins characteristic of a one-boson (1+1)-dimensional CFT. Our results thus show that the models under study are quantum critical when the chemical potential belongs to the critical interval, with central charge c=1. From the analysis of the fermion density at zero temperature, we also conclude that there is a quantum phase transition at both ends of the critical interval. This is further confirmed by the behavior of the fermion density at finite temperature, which is studied analytically (at low temperature), as well as numerically for the su(1|1) elliptic chain.

Generalized isotropic Lipkin-Meshkov-Glick models: ground state entanglement and quantum entropies

We introduce a new class of generalized isotropic Lipkin–Meshkov–Glick models with su(m+1) spin and long-range non-constant interactions, whose non-degenerate ground state is a Dicke state of su(m+1) type. We evaluate in closed form the reduced density matrix of a block of Lspins when the whole system is in its ground state, and study the corresponding von Neumann and Rényi entanglement entropies in the thermodynamic limit. We show that both of these entropies scale as a log L when L tends to infinity, where the coefficient a is equal to (m  −  k)/2 in the ground state phase with k vanishing magnon densities. In particular, our results show that none of these generalized Lipkin–Meshkov–Glick models are critical, since when L-->∞ their Rényi entropy R_q becomes independent of the parameter q. We have also computed the Tsallis entanglement entropy of the ground state of these generalized su(m+1) Lipkin–Meshkov–Glick models, finding that it can be made extensive by an appropriate choice of its parameter only when m-k≥3. Finally, in the su(3) case we construct in detail the phase diagram of the ground state in parameter space, showing that it is determined in a simple way by the weights of the fundamental representation of su(3). This is also true in the su(m+1) case; for instance, we prove that the region for which all the magnon densities are non-vanishing is an (m  +  1)-simplex in R^m whose vertices are the weights of the fundamental representation of su(m+1).