77 research outputs found
Monopole Excitation to Cluster States
We discuss strength of monopole excitation of the ground state to cluster
states in light nuclei. We clarify that the monopole excitation to cluster
states is in general strong as to be comparable with the single particle
strength and shares an appreciable portion of the sum rule value in spite of
large difference of the structure between the cluster state and the
shell-model-like ground state. We argue that the essential reasons of the large
strength are twofold. One is the fact that the clustering degree of freedom is
possessed even by simple shell model wave functions. The detailed feature of
this fact is described by the so-called Bayman-Bohr theorem which tells us that
SU(3) shell model wave function is equivalent to cluster model wave function.
The other is the ground state correlation induced by the activation of the
cluster degrees of freedom described by the Bayman-Bohr theorem. We
demonstrate, by deriving analytical expressions of monopole matrix elements,
that the order of magnitude of the monopole strength is governed by the first
reason, while the second reason plays a sufficient role in reproducing the data
up to the factor of magnitude of the monopole strength. Our explanation is made
by analysing three examples which are the monopole excitations to the
and states in O and the one to the state in C.
The present results imply that the measurement of strong monopole transitions
or excitations is in general very useful for the study of cluster states.Comment: 11 pages, 1 figure: revised versio
Multi-cluster dynamics in and analogy to clustering in
We investigate structure of and discuss the difference
and similarity between the structures of and by answering the questions if the linear-chain and gaslike cluster states,
which are proposed to appear in , survives, or new structure
states appear or not. We introduce a microscopic cluster model called,
Hyper-Tohsaki-Horiuchi-Schuck-R\"opke (H-THSR) wave function, which is an
extended version of the THSR wave function so as to describe
hypernuclei. We obtained two bound states and two resonance (quasi-bound)
states for in , corresponding to the four
states in . However, the inversion of level ordering
between the spectra of and , i.e. that the
and states in correspond to the
and states in , respectively, is shown to occur. The
additional particle reduces sizes of the and states
in very much, but the shrinkage of the state is
only a half of the other states. In conclusion, the Hoyle state becomes quite a
compact object with configuration in
and is no more gaslike state composed of the
clusters. Instead, the state in , coming from the
state, appears as a gaslike state composed of
configuration, i.e. the Hoyle analog
state. A linear-chain state in a hypernucleus is for the first time
predicted to exist as the state in with more
shrunk arrangement of the clusters along -axis than the
linear-chain configuration realized in the state.Comment: 9 pages, 6 figures, figures rearranged, accepted for publication in
PL
Alpha-particle condensation in nuclei
A round up of the present status of the conjecture that n alpha nuclei form
an alpha-particle condensate in excited states close to the n alpha threshold
is given. Experiments which could demonstrate the condensate character are
proposed. Possible lines of further theoretical developments are discussed.Comment: 6 page
Alpha Decay Width of Po from a quartetting wave function approach
A microscopic calculation of -cluster preformation probability and
decay width in the typical emitter Po is presented.
Results are obtained by improving a recent approach to describe
preformation in Po [Phys. Rev. C 90, 034304 (2014)] implementing
four-nucleon correlations (quartetting). Using the actually measured density
distribution of the Pb core, the calculated alpha decay width of
Po agrees fairly well with the measured one.Comment: 7 pages, 5 figures, 1 table, submitted to Phys. Rev.
Bound clusters on top of doubly magic nuclei
An effective particle equation is derived for cases where an
particle is formed on top of a doubly magic nucleus. As an example, we
consider Po with the on top of the Pb core. We will
consider the core nucleus infinitely heavy, so that the particle moves
with respect to a fixed center, i.e., recoil effects are neglected. The fully
quantal solution of the problem is discussed. The approach is inspired by the
THSR (Tohsaki-Horiuchi-Schuck-R\"{o}pke) wave function concept that has been
successfully applied to light nuclei. Shell model calculations are improved by
including four-particle (-like) correlations that are of relevance when
the matter density becomes low. In the region where the -like cluster
penetrates the core nucleus, the intrinsic bound state wave function transforms
at a critical density into an unbound four-nucleon shell model state.
Exploratory calculations for Po are presented. Such preformed cluster
states are only hardly described by shell model calculations. Reasons for
different physics behavior of an -like cluster with respect to a
deuteron-like cluster are discussed.Comment: 24 pages, 5 figure
Criterion for Bose-Einstein condensation in traps and self-bound systems
The internal one-particle density matrix is discussed for Bose-Einstein
condensates with finite number of particles in a harmonic trap. The outcome of
the digonalization of the density matrix depends on the choice of the internal
coordinates: The Pethick-Pitaevskii-type internal density matrix, whose
analytical eigenvalues and eigenfunctions are evaluated, yields a fragmented
condensate, while the Jacobi-type internal density matrix leads to an ideal
condensate. We give a criterion for the choice of the internal coordinates: In
the macroscopic limit the internal density matrix should have eigenvalues and
eigenfunctions of an ideal Bose-Einstein condensate, this being a very physical
condition for cases where the system is also an ideal Bose condensation in the
laboratory frame. One choice fulfilling this boundary condition is given by the
internal Jacobi coordinates, while the internal coordinates with respect to the
center of mass do not satisfy the condition. Based on our criterion, a general
definition of the internal one-particle density matrix is presented in a
self-bound system, consisting of interacting bosons.Comment: Shortened to Brief repor
Open Problems in Particle Condensation
particle condensation is a novel state in nuclear systems. We
briefly review the present status on the study of particle
condensation and address the open problems in this research field:
particle condensation in heavier systems other than the Hoyle state, linear
chain and particle rings, Hoyle-analogue states with extra neutrons,
particle condensation related to astrophysics, etc.Comment: 12 pages. To be published in J. of Phys. G special issue on Open
Problems in Nuclear Structure (OPeNST
Nuclear Alpha-Particle Condensates
The -particle condensate in nuclei is a novel state described by a
product state of 's, all with their c.o.m. in the lowest 0S orbit. We
demonstrate that a typical -particle condensate is the Hoyle state
( MeV, state in C), which plays a crucial role for
the synthesis of C in the universe. The influence of antisymmentrization
in the Hoyle state on the bosonic character of the particle is
discussed in detail. It is shown to be weak. The bosonic aspects in the Hoyle
state, therefore, are predominant. It is conjectured that -particle
condensate states also exist in heavier nuclei, like O,
Ne, etc. For instance the state of O at MeV
is identified from a theoretical analysis as being a strong candidate of a
condensate. The calculated small width (34 keV) of ,
consistent with data, lends credit to the existence of heavier Hoyle-analogue
states. In non-self-conjugated nuclei such as B and C, we discuss
candidates for the product states of clusters, composed of 's,
triton's, and neutrons etc. The relationship of -particle condensation
in finite nuclei to quartetting in symmetric nuclear matter is investigated
with the help of an in-medium modified four-nucleon equation. A nonlinear order
parameter equation for quartet condensation is derived and solved for
particle condensation in infinite nuclear matter. The strong qualitative
difference with the pairing case is pointed out.Comment: 71 pages, 41 figures, review article, to be published in "Cluster in
Nuclei (Lecture Notes in Physics) - Vol.2 -", ed. by C. Beck,
(Springer-Verlag, Berlin, 2011
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