3,403 research outputs found
Complementarity and Scientific Rationality
Bohr's interpretation of quantum mechanics has been criticized as incoherent
and opportunistic, and based on doubtful philosophical premises. If so Bohr's
influence, in the pre-war period of 1927-1939, is the harder to explain, and
the acceptance of his approach to quantum mechanics over de Broglie's had no
reasonable foundation. But Bohr's interpretation changed little from the time
of its first appearance, and stood independent of any philosophical
presuppositions. The principle of complementarity is itself best read as a
conjecture of unusually wide scope, on the nature and future course of
explanations in the sciences (and not only the physical sciences). If it must
be judged a failure today, it is not because of any internal inconsistency.Comment: 29 page
The Higgs mass derived from the U(3) Lie group
The Higgs mass value is derived from a Hamiltonian on the Lie group U(3)
where we relate strong and electroweak energy scales. The baryon states of
nucleon and delta resonances originate in specific Bloch wave degrees of
freedom coupled to a Higgs mechanism which also gives rise to the usual gauge
boson masses. The derived Higgs mass is around 125 GeV. From the same
Hamiltonian we derive the relative neutron to proton mass ratio and the N and
Delta mass spectra. All compare rather well with the experimental values. We
predict scarce neutral flavor baryon singlets that should be visible in
scattering cross sections for negative pions on protons, in photoproduction on
neutrons, in neutron diffraction dissociation experiments and in invariant mass
spectra of protons and negative pions in B-decays. The fundamental predictions
are based on just one length scale and the fine structure constant. More
particular predictions rely also on the weak mixing angle and the up-down quark
flavor mixing matrix element. With differential forms on the measure-scaled
wavefunction, we could generate approximate parton distribution functions for
the u and d valence quarks of the proton that compare well with established
experimental analysis.Comment: 18 pages, 13 figures, 3 table
Geometric factors in the Bohr--Rosenfeld analysis of the measurability of the electromagnetic field
The Geometric factors in the field commutators and spring constants of the
measurement devices in the famous analysis of the measurability of the
electromagnetic field by Bohr and Rosenfeld are calculated using a
Fourier--Bessel method for the evaluation of folding integrals, which enables
one to obtain the general geometric factors as a Fourier--Bessel series. When
the space region over which the factors are defined are spherical, the
Fourier--Bessel series terms are given by elementary functions, and using the
standard Fourier-integral method of calculating folding integrals, the
geometric factors can be evaluated in terms of manageable closed-form
expressions.Comment: 21 pages, REVTe
Electromagnetic transition strengths in soft deformed nuclei
Spectroscopic observables such as electromagnetic transitions strengths can
be related to the properties of the intrinsic mean-field wave function when the
latter are strongly deformed, but the standard rotational formulas break down
when the deformation decreases. Nevertheless there is a well-defined, non-zero,
spherical limit that can be evaluated in terms of overlaps of mean-field
intrinsic deformed wave functions. We examine the transition between the
spherical limit and strongly deformed one for a range of nuclei comparing the
two limiting formulas with exact projection results. We find a simple criterion
for the validity of the rotational formula depending on ,
the mean square fluctuation in the angular momentum of the intrinsic state. We
also propose an interpolation formula which describes the transition strengths
over the entire range of deformations, reducing to the two simple expressions
in the appropriate limits.Comment: 16 pages, 5 figures, supplemental material include
DMRG evaluation of the Kubo formula -- Conductance of strongly interacting quantum systems
In this paper we present a novel approach combining linear response theory
(Kubo) for the conductance and the Density Matrix Renormalization Group (DMRG).
The system considered is one-dimensional and consists of non-interacting tight
binding leads coupled to an interacting nanostructure via weak links. Electrons
are treated as spinless fermions and two different correlation functions are
used to evaluate the conductance.
Exact diagonalization calculations in the non-interacting limit serve as a
benchmark for our combined Kubo and DMRG approach in this limit. Including both
weak and strong interaction we present DMRG results for an extended
nanostructure consisting of seven sites. For the strongly interacting structure
a simple explanation of the position of the resonances is given in terms of
hard-core particles moving freely on a lattice of reduced size.Comment: 7 pages, 2 figures. Minor typos correcte
Structural evolution in Pt isotopes with the Interacting Boson Model Hamiltonian derived from the Gogny Energy Density Functional
Spectroscopic calculations are carried out, for the description of the
shape/phase transition in Pt nuclei in terms of the Interacting Boson Model
(IBM) Hamiltonian derived from (constrained) Hartree-Fock-Bogoliubov (HFB)
calculations with the finite range and density dependent Gogny-D1S Energy
Density Functional. Assuming that the many-nucleon driven dynamics of nuclear
surface deformation can be simulated by effective bosonic degrees of freedom,
the Gogny-D1S potential energy surface (PES) with quadrupole degrees of freedom
is mapped onto the corresponding PES of the IBM. Using this mapping procedure,
the parameters of the IBM Hamiltonian, relevant to the low-lying quadrupole
collective states, are derived as functions of the number of valence nucleons.
Merits of both Gogny-HFB and IBM approaches are utilized so that the spectra
and the wave functions in the laboratory system are calculated precisely. The
experimental low-lying spectra of both ground-state and side-band levels are
well reproduced. From the systematics of the calculated spectra and the reduced
E2 transition probabilities (E2), the prolate-to-oblate shape/phase
transition is shown to take place quite smoothly as a function of neutron
number in the considered Pt isotopic chain, for which the -softness
plays an essential role. All these spectroscopic observables behave
consistently with the relevant PESs and the derived parameters of the IBM
Hamiltonian as functions of . Spectroscopic predictions are also made for
those nuclei which do not have enough experimental E2 data.Comment: 11 pages, 5 figure
Symmetry energy and neutron-proton radii studies with a Wigner-Heisenberg monopole-monopole interaction
The symmetry energy in nuclei is studied using a monopole-monopole two boby
interaction which has an isospin dependent term. A Hartree theory is developed
for this interaction which has an oscillator shell model basis with
corresponding shell structure. The role of shell structure on the symmetry
energy is then studied. We also find that the strength of the Heisenberg
interaction is very important for understanding the difference between proton
and neutron radii and features associated with halo nuclei.
PACS numbers: 21.10.Sf, 21.65Cd, 21.65EfComment: 1 table, i figur
Phase transitions in the Interacting Boson Fermion Model: the gamma-unstable case
The phase transition around the critical point in the evolution from
spherical to deformed gamma-unstable shapes is investigated in odd nuclei
within the Interacting Boson Fermion Model. We consider the particular case of
an odd j=3/2 particle coupled to an even-even boson core that undergoes a
transition from spherical U(5) to gamma-unstable O(6) situation. The particular
choice of the j=3/2 orbital preserves in the odd case the condition of
gamma-instability of the system. As a consequence, energy spectrum and
electromagnetic transitions, in correspondence of the critical point, display
behaviours qualitatively similar to those of the even core. The results are
also in qualitative agreement with the recently proposed E(5/4) model, although
few differences are present, due to the different nature of the two schemes.Comment: In press in PRC as rapid communication. 7 pages, 4 figure
Breaking of N=8 magicity in 13Be
Structure of Be was investigated with antisymmetrized molecular
dynamics. The variation after spin and parity projections was performed. An
unnatural parity state was suggested to be lower than state
indicating that vanishing of the N=8 magic number occurs in Be. A
low-lying state with a configuration was also suggested.
Developed cluster structures were found in the intruder states. Lowering
mechanism of the intruder states was discussed in terms of molecular orbitals
around a core.Comment: 9 pages, 8 figures, submitted to PR
Cooper pair sizes in superfluid nuclei in a simplified model
Cooper pair sizes are evaluated in a simple harmonic oscillator model
reproducing the values of sophisticated HFB calculations. Underlying reasons
for the very small sizes of 2.0-2.5 fm of Cooper pairs in the surface of nuclei
are analysed. It is shown that the confining properties of the nuclear volume
is the dominating effect. It is argued that for Cooper pair sizes LDA is
particularly inadapted.Comment: 8 pages, 6 figure
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