11,179 research outputs found
-decay half-lives of neutron-rich nuclei and matter flow in the -process
The -decay half-lives of neutron-rich nuclei with are systematically investigated using the newly developed fully
self-consistent proton-neutron quasiparticle random phase approximation (QRPA),
based on the spherical relativistic Hartree-Fock-Bogoliubov (RHFB) framework.
Available data are reproduced by including an isospin-dependent proton-neutron
pairing interaction in the isoscalar channel of the RHFB+QRPA model. With the
calculated -decay half-lives of neutron-rich nuclei a remarkable
speeding up of -matter flow is predicted. This leads to enhanced -process
abundances of elements with , an important result for the
understanding of the origin of heavy elements in the universe.Comment: 14 pages, 4 figure
Two monotonic functions involving gamma function and volume of unit ball
In present paper, we prove the monotonicity of two functions involving the
gamma function and relating to the -dimensional volume of the
unit ball in .Comment: 7 page
Stability of Strutinsky Shell Correction Energy in Relativistic Mean Field Theory
The single-particle spectrum obtained from the relativistic mean field (RMF)
theory is used to extract the shell correction energy with the Strutinsky
method. Considering the delicate balance between the plateau condition in the
Strutinsky smoothing procedure and the convergence for the total binding
energy, the proper space sizes used in solving the RMF equations are
investigated in detail by taking 208Pb as an example. With the proper space
sizes, almost the same shell correction energies are obtained by solving the
RMF equations either on basis space or in coordinate space.Comment: 9 pages, 4 figure
Separable states and the geometric phases of an interacting two-spin system
It is known that an interacting bipartite system evolves as an entangled
state in general, even if it is initially in a separable state. Due to the
entanglement of the state, the geometric phase of the system is not equal to
the sum of the geometric phases of its two subsystems. However, there may exist
a set of states in which the nonlocal interaction does not affect the
separability of the states, and the geometric phase of the bipartite system is
then always equal to the sum of the geometric phases of its subsystems. In this
paper, we illustrate this point by investigating a well known physical model.
We give a necessary and sufficient condition in which a separable state remains
separable so that the geometric phase of the system is always equal to the sum
of the geometric phases of its subsystems.Comment: 13 page
Nuclear charge-exchange excitations based on relativistic density-dependent point-coupling model
Spin-isospin transitions in nuclei away from the valley of stability are
essential for the description of astrophysically relevant weak interaction
processes. While they remain mainly beyond the reach of experiment, theoretical
modeling provides important insight into their properties. In order to describe
the spin-isospin response,vcthe proton-neutron relativistic quasiparticle
random phase approximation (PN-RQRPA) is formulated using the relativistic
density-dependent point coupling interaction, and separable pairing interaction
in both the and pairing channels. By implementing recently
established DD-PCX interaction with improved isovector properties relevant for
the description of nuclei with neutron-to-proton number asymmetry, the isobaric
analog resonances (IAR) and Gamow-Teller resonances (GTR) have been
investigated. In contrast to other models that usually underestimate the IAR
excitation energies in Sn isotope chain, the present model accurately
reproduces the experimental data, while the GTR properties depend on the
isoscalar pairing interaction strength. This framework provides not only an
improved description of the spin-isospin response in nuclei, but it also allows
future large scale calculations of charge-exchange excitations and weak
interaction processes in stellar environment.Comment: 40 pages, 6 figures, revised versio
Adiabatic Theory of Nonlinear Evolution of Quantum States
We present a general theory for adiabatic evolution of quantum states as
governed by the nonlinear Schrodinger equation, and provide examples of
applications with a nonlinear tunneling model for Bose-Einstein condensates.
Our theory not only spells out conditions for adiabatic evolution of
eigenstates, but also characterizes the motion of non-eigenstates which cannot
be obtained from the former in the absence of the superposition principle. We
find that in the adiabatic evolution of non-eigenstates, the Aharonov-Anandan
phases play the role of classical canonical actions.Comment: substantial revision, 5 pages and 3 figure
PDB1 ASSOCIATION BETWEEN GLYCOSYLATED HEMOGLOBIN AND CARDIOVASCULAR OUTCOMES IN PATIENTS WITH TYPE 2 DIABETES MELLITUS: A NESTED CASE-CONTROL STUDY
Exciton Optical Absorption in Self-Similar Aperiodic Lattices
Exciton optical absorption in self-similar aperiodic one-dimensional systems
is considered, focusing our attention on Thue-Morse and Fibonacci lattices as
canonical examples. The absorption line shape is evaluated by solving the
microscopic equations of motion of the Frenkel-exciton problem on the lattice,
in which on-site energies take on two values, according to the Thue-Morse or
Fibonacci sequences. Results are compared to those obtained in random lattices
with the same stechiometry and size. We find that aperiodic order causes the
occurrence of well-defined characteristic features in the absorption spectra
which clearly differ from the case of random systems, indicating a most
peculiar exciton dynamics. We successfully explain the obtained spectra in
terms of the two-center problem. This allows us to establish the origin of all
the absorption lines by considering the self-similar aperiodic lattices as
composed of two-center blocks, within the same spirit of the renormalization
group ideas.Comment: 16 pages in REVTeX 3.0. 2 figures on request to F. D-A
([email protected]
The Operating Performance of Buyout IPOs in the UK and the Influence of Private Equity Financing
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