256 research outputs found
Interplay of classical and quantal features within the coherent state model
The classical and quantal features of a quadrupole coherent state and its
projections over angular momentum and boson number are quantitatively analyzed
in terms of the departure of the Heisenberg uncertainty relations from the
classical limit. This study is performed alternatively for two choices of the
pairs of conjugate coordinates. The role of deformation as mediator of
classical and quantal behaviors is also commented. Although restoring the
rotational and gauge symmetries makes the quantal features manifest dominantly
for small deformation, these are blurred by increasing the deformation which
pushes the system toward a classical limit.Comment: 11 pages, 5 figure
A new renormalization procedure of the quasiparticle random phase approximation
The ground state of a many body Hamiltonian considered in the quasiparticle
representation is redefined by accounting for the quasiparticle quadrupole
pairing interaction. The residual interaction of the newly defined
quasiparticles is treated by the QRPA. Solutions of the resulting equations
exhibit specific features. In particular, there is no interaction strength
where the first root is vanishing. A comparison with other renormalization
methods is presented.Comment: 16 pages, 4 figure
Semi-phenomenological description of the chiral bands in
A set of interacting particles are coupled to a phenomenological core
described using the generalized coherent state model. Among the particle-core
states a finite set which have the property that the angular momenta carried by
the proton and neutron quadrupole bosons and the particles, separately, are
mutually orthogonal are identified. The magnetic properties of such states are
studied. All terms of the model Hamiltonian exhibit chiral symmetry except the
spin-spin interaction. There are four bands of the type with
two-quasiparticle-core dipole states, exhibiting properties which are specific
for magnetic twin bands. An application is presented, for the isotopes Os.Comment: 20 pages, 7 figures. arXiv admin note: substantial text overlap with
arXiv:1407.505
Description of the chiral bands in
To a phenomenological core described by the Generalized Coherent State Model
a set of interacting particles are coupled. Among the particle-core states one
identifies a finite set which have the property that the angular momenta
carried by the proton and neutron quadrupole bosons and the particles
respectively, are mutually orthogonal. The magnetic properties of such states
are studied. All terms of the model Hamiltonian satisfy the chiral symmetry
except for the spin-spin interaction. There are four bands of two
quasiparticle-core dipole states type, which exhibit properties which are
specific for magnetic twin bands. Application is made for the isotopes Os.Comment: 13pages, 7 figures. arXiv admin note: substantial text overlap with
arXiv:1401.469
Description of the decay within a fully renormalized pnQRPA approach with a restored gauge symmetry
A many body Hamiltonian involving the mean field for a projected spherical
single particle basis, the pairing interactions for alike nucleons and the
dipole-dipole proton-neutron interactions in the particle-hole () and
particle-particle () channels is treated by the projected gauge fully
renormalized proton-neutron quasiparticle random phase approximation
(PGFRpnQRPA) approach. The resulting wave functions and energies for the mother
and the daughter nuclei are used to calculate the decay rate
and the process half life. For illustration, the formalism is applied for the
decay Mo Ru. The results are in good agreement with the
corresponding experimental data. The Ikeda sum rule () is obeyed. The
gauge projection makes the interaction inefficient.Comment: 11 pages, 1 figur
The CSM extension for description of the positive and negative parity bands in even-odd nuclei
A particle-core Hamiltonian is used to describe the lowest parity partner
bands in
Ra, U and Pu, and three parity partner bands,
, in Ra. The core is described
by a quadrupole and octupole boson Hamiltonian which was previously used for
the description of four positive and four negative parity bands in the
neighboring even-even isotopes. The particle-core Hamiltonian consists of four
terms: a quadrupole-quadrupole, an octupole-octupole, a spin-spin and a
rotational interaction, with denoting the total angular
momentum. The single particle space for the odd nucleon consists of three
spherical shell model states, two of positive and one of negative parity. The
product of these states with a collective deformed ground state and the
intrinsic gamma band state generate, through angular momentum projection, the
bands with , respectively. In the space
of projected states one calculates the energies of the considered bands. The
resulting excitation energies are compared with the corresponding experimental
data as well as with those obtained with other approaches. Also, we searched
for some signatures for a static octupole deformation in the considered odd
isotopes. The calculated branching ratios in Ra agree quite well with
the corresponding experimental data.Comment: 26 pages, r figure
A new picture for the chiral symmetry properties within a particle-core framework
The Generalized Coherent State Model, proposed previously for a unified
description of magnetic and electric collective properties of nuclear systems,
is extended to account for the chiral like properties of nuclear systems. To a
phenomenological core described by the GCSM a set of interacting particles are
coupled. Among the particle-core states one identifies a finite set which have
the property that the angular momenta carried by the proton and neutron
quadrupole bosons and the particles respectively, are mutually orthogonal. All
terms of the model Hamiltonian satisfy the chiral symmetry except for the
spin-spin interaction. The magnetic properties of the particle-core states,
where the three mentioned angular momenta are orthogonal, are studied. A
quantitative comparison of these features with the similar properties of
states, where the three angular momenta belong to the same plane, is performed.Comment: 35 pages, 14 figures, to appear in Journal of Physics G: Nucl. Part.
Phy
Wobbling motion in Lu within a semi-classical framework
The results obtained for Lu with a semi-classical formalism are
presented. Properties like excitation energies for the super-deformed bands
TSD1, TSD2, TSD3, in Lu, and TSD1 and TSD2 for Lu, inter- and
intra-band B(E2) and B(M1), the mixing ratios, transition quadrupole moments
are compared either with the corresponding experimental data or with those
obtained for Lu. Also alignments, dynamic moments of inertia, relative
energy to a reference energy of a rigid symmetric rotor with an effective
moment of inertia and the angle between the angular momenta of the core and odd
nucleon were quantitatively studied. One concludes that the semi-classical
formalism provides a realistic description of all known wobbling features in
Lu.Comment: 29 pages, 14 figure
Possible chiral symmetry in Nd
The pheomenological Generalized Coherent State Model Hamiltonian is amended
with a many body term describing a set of nucleons moving in a shell model
mean-field and interacting among themselves with paring, as well as with a
particle-core interaction involving a quadrupole-quadrupole and a
hexadecapole-hexdecapole force and a spin-spin interaction. The model
Hamiltonian is treated in a restricted space consisting of the core projected
states associated to the bands ground,
and and two proton aligned quasiparticles coupled to the
states of the ground band. The chirally transformed particle-core states are
also included. The Hamiltonian contains two terms which are not invariant to
the chiral transformations relating the right handed trihedral and the left handed ones , ,
where
are the angular momenta carried by fermions, proton and neutron bosons,
respectively. The energies defined with the particle-core states form four
chiral bands, two of them being degenerate. Electromagnetic properties of the
chiral bands are investigated. Results are compared with the experimental data
on Nd.Comment: 22 pages, 15 figures. arXiv admin note: text overlap with
arXiv:1407.5059, arXiv:1505.0091
Specific features and symmetries for magnetic and chiral bands in nuclei
Magnetic and chiral bands have been a hot subject for more than twenty years.
Therefore, quite large volumes of experimental data as well as theoretical
descriptions have been accumulated. Although some of the formalisms are not so
easy to handle, the results agree impressively well with the data. The
objective of this paper is to review the actual status of both experimental and
theoretical investigations. Aiming at making this material accessible to a
large variety of readers, including young students and researchers, I gave some
details on the schematic models which are able to unveil the main features of
chirality in nuclei. Also, since most formalisms use a rigid triaxial rotor for
the nuclear system's core, I devoted some space to the semi-classical
description of the rigid triaxial as well as of the tilted triaxial rotor. In
order to answer the question whether the chiral phenomenon is spread over the
whole nuclear chart and whether it is specific only to a certain type of
nuclei, odd-odd, odd-even or even-even, the current results in the mass regions
of are briefly described for all kinds of
odd/even-odd/even systems. The chiral geometry is a sufficient condition for a
system of proton-particle, neutron-hole and a triaxial rotor to have the
electromagnetic properties of chiral bands. In order to prove that such
geometry is not unique for generating magnetic bands with chiral features, I
presented a mechanism for a new type of chiral bands. One tries to underline
the fact that this rapidly developing field is very successful in pushing
forward nuclear structure studies.Comment: 80 pages, 22 figure
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