67 research outputs found
Quantum Monte-Carlo method applied to Non-Markovian barrier transmission
In nuclear fusion and fission, fluctuation and dissipation arise due to the
coupling of collective degrees of freedom with internal excitations. Close to
the barrier, both quantum, statistical and non-Markovian effects are expected
to be important. In this work, a new approach based on quantum Monte-Carlo
addressing this problem is presented. The exact dynamics of a system coupled to
an environment is replaced by a set of stochastic evolutions of the system
density. The quantum Monte-Carlo method is applied to systems with quadratic
potentials. In all range of temperature and coupling, the stochastic method
matches the exact evolution showing that non-Markovian effects can be simulated
accurately. A comparison with other theories like Nakajima-Zwanzig or
Time-ConvolutionLess ones shows that only the latter can be competitive if the
expansion in terms of coupling constant is made at least to fourth order. A
systematic study of the inverted parabola case is made at different
temperatures and coupling constants. The asymptotic passing probability is
estimated in different approaches including the Markovian limit. Large
differences with the exact result are seen in the latter case or when only
second order in the coupling strength is considered as it is generally assumed
in nuclear transport models. On opposite, if fourth order in the coupling or
quantum Monte-Carlo method is used, a perfect agreement is obtained.Comment: 10 pages, 6 figures, to be published in Phys. Rev.
Non-Markovian effects in quantum system: an exact stochastic mean-field treatment
A quantum Monte-Carlo is proposed to describe fusion/fission processes when
fluctuation and dissipation, with memory effects, are important. The new theory
is illustrated for systems with inverted harmonic potentials coupled to a
heat-bath.Comment: Proceedings of the international conference: "Nuclear Structure and
related topics, Dubna, June (2009
Functional approach for pairing in finite systems: How to define restoration of broken symmetries in Energy Density Functional theory ?
The Multi-Reference Energy Density Functional (MR-EDF) approach (also called
configuration mixing or Generator Coordinate Method), that is commonly used to
treat pairing in finite nuclei and project onto particle number, is
re-analyzed. It is shown that, under certain conditions, the MR-EDF energy can
be interpreted as a functional of the one-body density matrix of the projected
state with good particle number. Based on this observation, we propose a new
approach, called Symmetry-Conserving EDF (SC-EDF), where the breaking and
restoration of symmetry are accounted for simultaneously. We show, that such an
approach is free from pathologies recently observed in MR-EDF and can be used
with a large flexibility on the density dependence of the functional.Comment: proceeding of the conference "Many body correlations from dilute to
dense Nuclear systems", Paris, February 201
Ab initio calculations of reactions with light nuclei
An {\em ab initio} (i.e., from first principles) theoretical framework
capable of providing a unified description of the structure and low-energy
reaction properties of light nuclei is desirable to further our understanding
of the fundamental interactions among nucleons, and provide accurate
predictions of crucial reaction rates for nuclear astrophysics, fusion-energy
research, and other applications. In this contribution we review {\em ab
initio} calculations for nucleon and deuterium scattering on light nuclei
starting from chiral two- and three-body Hamiltonians, obtained within the
framework of the {\em ab initio} no-core shell model with continuum. This is a
unified approach to nuclear bound and scattering states, in which
square-integrable energy eigenstates of the -nucleon system are coupled to
target-plus-projectile wave functions in the spirit of the resonating
group method to obtain an efficient description of the many-body nuclear
dynamics both at short and medium distances and at long ranges.Comment: 9 pages, 5 figures, proceedings of the 21st International Conference
on Few-Body Problems in Physic
Description of Pairing correlation in Many-Body finite systems with density functional theory
Different steps leading to the new functional for pairing based on natural
orbitals and occupancies proposed in ref. [D. Lacroix and G. Hupin,
arXiv:1003.2860] are carefully analyzed. Properties of quasi-particle states
projected onto good particle number are first reviewed. These properties are
used (i) to prove the existence of such a functional (ii) to provide an
explicit functional through a 1/N expansion starting from the BCS approach
(iii) to give a compact form of the functional summing up all orders in the
expansion. The functional is benchmarked in the case of the picked fence
pairing Hamiltonian where even and odd systems, using blocking technique are
studied, at various particle number and coupling strength, with uniform and
random single-particle level spacing. In all cases, a very good agreement is
found with a deviation inferior to 1% compared to the exact energy.Comment: 14 pages, 9 figure
Quasifission at extreme sub-barrier energies
With the quantum diffusion approach the behavior of the capture cross-section
is investigated in the reactions Mo + Mo, Ru +
Ru, Pd + Pd, and Kr + Sn at deep
sub-barrier energies which are lower than the ground state energies of the
compound nuclei. Because the capture cross section is the sum of the complete
fusion and quasifission cross sections, and the complete fusion cross section
is zero at these sub-barrier energies, one can study experimentally the unique
quasifission process in these reactions after the capture.Comment: 3 pages, 3 figure
Peculiarities of sub-barrier fusion with quantum diffusion approach
With the quantum diffusion approach the unexpected behavior of fusion cross
section, angular momentum, and astrophysical S-factor at sub-barrier energies
has been revealed. Out of the region of short-range nuclear interaction and
action of friction at turning point the decrease rate of the cross section
under the barrier becomes smaller. The calculated results for the reactions
with spherical nuclei are in a good agreement with the existing experimental
data.Comment: 11 pages, 5 figure
Ab initio alpha-alpha scattering
Processes involving alpha particles and alpha-like nuclei comprise a major
part of stellar nucleosynthesis and hypothesized mechanisms for thermonuclear
supernovae. In an effort towards understanding alpha processes from first
principles, we describe in this letter the first ab initio calculation of
alpha-alpha scattering. We use lattice effective field theory to describe the
low-energy interactions of nucleons and apply a technique called the adiabatic
projection method to reduce the eight-body system to an effective two-cluster
system. We find good agreement between lattice results and experimental phase
shifts for S-wave and D-wave scattering. The computational scaling with
particle number suggests that alpha processes involving heavier nuclei are also
within reach in the near future.Comment: 6 pages, 6 figure
Sub-barrier capture with quantum diffusion approach: actinide-based reactions
With the quantum diffusion approach the behavior of capture cross sections
and mean-square angular momenta of captured systems are revealed in the
reactions with deformed nuclei at subbarrier energies. The calculated results
are in a good agreement with existing experimental data. With decreasing
bombarding energy under the barrier the external turning point of the
nucleusnucleus potential leaves the region of short-range nuclear interaction
and action of friction. Because of this change of the regime of interaction, an
unexpected enhancement of the capture cross section is expected at bombarding
energies far below the Coulomb barrier. This effect is shown its worth in the
dependence of mean-square angular momentum of captured system on the bombarding
energy. From the comparison of calculated and experimental capture cross
sections, the importance of quasifission near the entrance channel is shown for
the actinide-based reactions leading to superheavy nuclei.Comment: 11 pages, 16 figures, Regular Articl
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