2,369 research outputs found
A simple model for the quenching of pairing correlations effects in rigidly deformed rotational bands
Using Chandrasekhar's S-type coupling between rotational and intrinsic
vortical modes one may simply reproduce the HFB dynamical properties of
rotating nuclei within Routhian HF calculations free of pairing correlations
yet constrained on the relevant so-called Kelvin circulation operator. From the
analogy between magnetic and rotating systems, one derives a model for the
quenching of pairing correlations with rotation, introducing a critical angular
velocity -- analogous to the critical field in supraconductors -- above which
pairing vanishes. Taking stock of this usual model, it is then shown that the
characteristic behavior of the vortical mode angular velocity as a function of
the global rotation angular velocity can be modelised by a simple two parameter
formula, both parameters being completely determined from properties of the
band-head (zero-spin) HFB solution. From calculation in five nuclei, the
validity of this modelised Routhian approach is assessed. It is clearly shown
to be very good in cases where the evolution of rotational properties is only
governed by the coupling between the global rotation and the pairing-induced
intrinsic vortical currents. It therefore provides a sound ground base for
evaluating the importance of coupling of rotation with other modes (shape
distortions, quasiparticle degrees of freedom).Comment: 10 pages, 8 figures. Submited to PR
History-sensitive accumulation rules for life-time prediction under variable loading
This is the post-print version of the article. The official published version can be obtained from the link below - Copyright @ 2011 SpringerA general form of temporal strength conditions under variable creep loading is employed to formulate several new phenomenological accumulation rules based on the constant-loading durability diagram. Unlike the well-known Robinson rule of linear accumulation of partial life-times, the new rules allow to describe the life-time sensibility to the load sequence, observed in experiments. Comparison of the new rules with experimental data shows that they fit the data much more accurately than the Robinson rule
Tagging the pion quark structure in QCD
We combine the constraints on the pion quark structure available from
perturbative QCD, nonperturbative QCD (nonlocal QCD sum rules and light cone
sum rules) with the analysis of current data on F_{\pi\gamma\gamma^*}(Q^2),
including recent high-precision lattice calculations of the second moment of
the pion's distribution amplitude. We supplement these constraints with those
extracted from the renormalon approach by means of the twist-four contributions
to the pion distribution amplitude in order to further increase stability with
respect to related theoretical uncertainties. We show which regions in the
space of the first two non-trivial Gegenbauer coefficients a_2 and a_4 of all
these constraints overlap, tagging this way the pion structure to the highest
degree possible at present.Comment: V1: 6 pages, 2 figures, 1 table. V2: Two references added with
corresponding insertions in the text. Matches version published in PR
Characteristic Lie rings, finitely-generated modules and integrability conditions for 2+1 dimensional lattices
Characteristic Lie rings for Toda type 2+1 dimensional lattices are defined.
Some properties of these rings are studied. Infinite sequence of special kind
modules are introduced. It is proved that for known integrable lattices these
modules are finitely generated. Classification algorithm based on this
observation is briefly discussed.Comment: 11 page
Two-component generalizations of the Camassa-Holm equation
A classification of integrable two-component systems of non-evolutionary partial differential equations that are analogous to the Camassa-Holm equation is carried out via the perturbative symmetry approach. Independently, a classification of compatible pairs of Hamiltonian operators is carried out, which leads to bi-Hamiltonian structures for the same systems of equations. Some exact solutions and Lax pairs are also constructed for the systems considered
Derivation of the particle dynamics from kinetic equations
We consider the microscopic solutions of the Boltzmann-Enskog equation
discovered by Bogolyubov. The fact that the time-irreversible kinetic equation
has time-reversible microscopic solutions is rather surprising. We analyze this
paradox and show that the reversibility or irreversibility property of the
Boltzmann-Enskog equation depends on the considered class of solutions. If the
considered solutions have the form of sums of delta-functions, then the
equation is reversible. If the considered solutions belong to the class of
continuously differentiable functions, then the equation is irreversible. Also,
we construct the so called approximate microscopic solutions. These solutions
are continuously differentiable and they are reversible on bounded time
intervals. This analysis suggests a way to reconcile the time-irreversible
kinetic equations with the time-reversible particle dynamics. Usually one tries
to derive the kinetic equations from the particle dynamics. On the contrary, we
postulate the Boltzmann-Enskog equation or another kinetic equation and treat
their microscopic solutions as the particle dynamics. So, instead of the
derivation of the kinetic equations from the microdynamics we suggest a kind of
derivation of the microdynamics from the kinetic equations.Comment: 18 pages; some misprints have been corrected, some references have
been adde
On the equivalence of pairing correlations and intrinsic vortical currents in rotating nuclei
The present paper establishes a link between pairing correlations in rotating
nuclei and collective vortical modes in the intrinsic frame. We show that the
latter can be embodied by a simple S-type coupling a la Chandrasekhar between
rotational and intrinsic vortical collective modes. This results from a
comparison between the solutions of microscopic calculations within the HFB and
the HF Routhian formalisms. The HF Routhian solutions are constrained to have
the same Kelvin circulation expectation value as the HFB ones. It is shown in
several mass regions, pairing regimes, and for various spin values that this
procedure yields moments of inertia, angular velocities, and current
distributions which are very similar within both formalisms. We finally present
perspectives for further studies.Comment: 8 pages, 4 figures, submitted to Phys. Rev.
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