63 citations · 313 across the 36 of their papers we have counts for
26 papers · 1 filter
On the strong local potential limit
K. Murulane, S. Karataglidis, B. G. Giraud
Finite, bound, many-body systems, where the interaction operator, , is local and happens to strongly dominate the kinetic energy operator, , display a cl…
Fluctuations of collective coordinates and convexity theorems for energy surfaces
B. G. Giraud, S. Karataglidis, T. Sami
Constrained energy minimizations of a many-body Hamiltonian return energy landscapes e(b) where b=<B> representes the average value(s) of one (or several) collective operator(s), B…
Concavity Theorems for Energy Surfaces
B. G. Giraud, S. Karataglidis
Concavity properties prevent the existence of significant landscapes in energy surfaces obtained by strict constrained energy minimizations. The inherent contradiction is due to fl…
Spin density matrices for nuclear density functionals with parity violations
B. R. Barrett, B. G. Giraud
The spin density matrix (SDM) used in atomic and molecular physics is revisited for nuclear physics, in the context of the radial density functional theory. The vector part of the…
Open problems in nuclear density functional theory
B. G. Giraud
This note describes five subjects of some interest for the density functional theory in nuclear physics. These are, respectively, i) the need for concave functionals, ii) the natur…
Algebraic Density Functionals
B. G. Giraud, S. Karataglidis
A systematic strategy for the calculation of density functionals (DFs) consists in coding informations about the density and the energy into polynomials of the degrees of freedom o…
Schrödinger equations for the square root density of an eigenmixture and % the square root of an eigendensity spin matrix
B. G. Giraud, P. Moussa
We generalize a "one eigenstate" theorem of Levy, Perdew and Sahni (LPS) to the case of densities coming from eigenmixture density operators. The generalization is of a special int…
From Di-Nucleus to Mono-Nucleus - Neck Evolution in Fusion of Massive Systems -
Y. Abe, C. Shen, D. Boilley +1
Dynamics of the neck degree of freedom during fusioning process between heavy ions is studied. Time scales of the three degrees of freedom (the relative distance, the neck and the…
Scalar Nature of the Nuclear Density Functional
B. G. Giraud
Because of the rotational invariance of the nuclear Hamiltonian, there exists a density functional for nuclei that depends only on two scalar densities. Practical calculations boil…
Bounds to binding energies from the concavity of thermodynamical functions
B. K. Jennings, B. R. Barrett, B. G. Giraud
Sequences of experimental ground-state energies are mapped onto concave patterns cured from convexities due to pairing and/or shell effects. The same patterns, completed by a list…
Laboratory Density Functionals
B. G. Giraud
We compare several definitions of the density of a self-bound system, such as a nucleus, in relation with its center-of-mass zero-point motion. A trivial deconvolution relates the…
Concavity for nuclear binding energies, thermodynamical functions and density functionals
B. R. Barrett, B. G. Giraud, B. K. Jennings +1
Sequences of experimental ground-state energies for both odd and even are mapped onto concave patterns cured from convexities due to pairing and/or shell effects. The same patt…
Existence of a Density Functional for an Intrinsic State
B. G. Giraud, B. K. Jennings, B. R. Barrett
A generalization of the Hohenberg-Kohn theorem proves the existence of a density functional for an intrinsic state, symmetry violating, out of which a physical state with good quan…
Retrieving Nuclear Information from Protons Propagating through A Thick Target
B. G. Giraud, Lon-chang Liu
The multiple scattering of high-energy particles in a thick target is fromulated in an impact parameter representation. A formalism similar but not identical to that of Moliere is…
Symmetric Density Functionals
B. G. Giraud
Variations in distinct restricted spaces of wave functions generate distinct density functionals. In particular, angular momentum projected Slater determinants define a new density…
Coordinates, modes and maps for the density functional
B. G. Giraud, A. Weiguny, L. Wilets
Special bases of orthogonal polynomials are defined, that are suited to expansions of density and potential perturbations under strict particle number conservation. Particle-hole e…
Complex Scaled Spectrum Completeness for Coupled Channels
B. G. Giraud, K. Kato, A. Ohnishi
The Complex Scaling Method (CSM) provides scattering wave functions which regularize resonances and suggest a resolution of the identity in terms of such resonances, completed by t…
Is friction responsible for the reduction of fusion rates far below the Coulomb barrier?
B. G. Giraud, S. Karataglidis, K. Amos +1
The fusion of two interacting heavy ions traditionally has been interpreted in terms of the penetration of the projectile into the target. Observed rates well below the Coulomb bar…
Local scale transformations and extended matter distributions in nuclei
S. Karataglidis, K. Amos, B. G. Giraud
Local scale transformations are made to vary the long range properties of harmonic oscillator orbitals conventionally used in model structure calculations of nuclear systems. The t…
Diffusion over a saddle with a Langevin equation
Y. Abe, D. Boilley, B. G. Giraud +1
The diffusion problem over a saddle is studied using a multi-dimensional Langevin equation. An analytical solution is derived for a quadratic potential and the probability to pass…
Beyond the time independent mean field theory for nuclear and atomic reactions: Inclusion of particle-hole correlations in a generalized random phase approximation
J. C. Lemm, B. G. Giraud, A. Weiguny
The time independent mean field method (TIMF) for scattering defines biorthonormal sets of single-particle wave functions and corresponding creation and annihilation operators. 2p…
Efimov Effect Revisited with Inclusion of Distortions
B. G. Giraud, Y. Hahn
An elementary proof of the 3-body Efimov effect is provided in the case of a separable 2-body potential which binds at zero energy a light particle to a heavy one. The proof procee…
Time reversal and parity breaking by propagation
H. Jünemann, A. Weiguny, B. G. Giraud
The time independent mean field method (TIMF) for the calculation of matrix elements of non relativistic propagators is based on a variational principle whose non linearity induces…
Eigenmodes of Decay and Discrete Fragmentation Processes
B. G. Giraud, W-h. Ma, R. Peschanski
Linear rate equations are used to describe the cascading decay of an initial heavy cluster into fragments. This representation is based upon a triangular matrix of transition rates…