INSTITUTE OF PHYSICS PUBLISHING PHYSICA SCRIPTA
Phys. Scr. T125 (2006) 103–107 doi:10.1088/0031-8949/2006/T125/024
Clarification of the low-lying states of
9
Be
M J G Borge
1
, Y Prezado
1
, O Tengblad
1
, H O U Fynbo
2
, K Riisager
2
and B Jonson
3
1
Instituto Estructura de la Materia, CSIC, Serrano 113bis, E-28006 Madrid, Spain
2
Inst. for fysik og astronomi, Aarhus Universitet, DK-8000 Aarhus C, Denmark
3
Fundamental Fysik, Chalmers Tekniska Högskola, S-412 96 Göteborg, Sweden
E-mail: borge@iem.cfmac.csic.es
Received 18 July 2005
Accepted for publication 1 September 2005
Published 28 June 2006
Online at stacks.iop.org/PhysScr/T125/103
Abstract
A newly developed technique for dealing with three-body decays of broad isolated levels is
extended to deal with the broad, overlapping levels found at 2–9MeV excitation energy in
9
Be. The levels are populated through beta-decay of
9
Li. The method gives firm evidence for
the existence of several levels. Angular correlation studies allow spin values to be assigned.
PACS numbers: 23.40.Hc, 27.20.+n, 24.80.+y
(Some figures in this article are in colour only in the electronic version.)
1. Introduction
The interest in very light nuclei has renewed recently due to
the progress in ab initio calculations applied to the structure
of light nuclei, now reaching the lowest energy states for
several spin values in isobars with mass 9 and 10 [1, 2].
This development presents a challenge for experimentalists
to complete the knowledge on the excited states. This
task becomes increasingly hard when one moves to the
unbound part of the spectrum. Even for a well-studied
stable nucleus such as
9
Be there are large uncertainties at
about 5MeV excitation energy. Ab initio calculations have
made an effort [1] to reach this region. They predict more
3/2
−
, 5/2
−
and 7/2
−
levels in the Q
β
-window than are seen
experimentally. Between 5–8MeV excitation energy, there
is an experimental indication of a tentative 3/2
−
level at
5.6 MeV observed in a single experiment (p, p
′
) at 180 MeV in
which spin assignment stems from theory [3]. The first 7/2
−
state at 6.4MeV has been firmly established [3] and a state
at 7.94MeV observed in beta decay has a controverted spin
assignment. The difficulty of the region is that all levels are
broad (width about 1 MeV) and disintegrate into 3-particles.
The partial decay channels of these broad levels are of
interest. The properties of low-lying unbound states in
9
Be
are relevant in the calculation of the
4
He(αn,γ )
9
Be reaction
rate in the stellar scenario. This reaction is one of the key
reactions which could bridge the mass gap at A = 8 to produce
intermediate-to-heavy mass elements in alpha- and neutron-
rich environments. A ternary process hardly plays a role in
the formation of
9
Be. Instead the reaction reflects the nuclear
structure of
9
Be with large neutron widths. The reaction is
described by α + α ⇋
8
Be(n,γ)
9
Be which takes place during
the lifetime of
8
Be (10
−16
s) in such a suitable astrophysical
scenario as the neutrino driven wind [4]. So resonance states
in
9
Be near threshold play an important role. Besides it
has recently been pointed out [5] that the reaction α +n ⇋
5
He(α, γ )
9
Be with the lifetime of
5
He (10
−21
s) can have an
additional contribution to the formation of
9
Be. A microscopic
three-cluster study of the photoneutron cross-section for
9
Be
shows that the
5
He + α channel is of growing importance at
temperatures above 10
9
K(≈ 4 MeV). Lack of experimental
information has prevented the incorporation of this channel in
photodisintegration calculations. Therefore a good knowledge
of the
9
Be system is very important with emphasis on the
5
He
intermediate decay channel.
Due to its selection rules, β -decay provides a clean way
to feed unbound states making beta delayed particle emission
an excellent source of nuclear structure information. This
approach has given a lot of information. If one knows the
final state from the particle spectra one can derive the beta
feeding to the different states. In a two-body break-up as
in the beta-decay of
8
Li by measuring the single alpha-
spectrum the process is fully determined. In a seminal paper,
Barker [6] presented an R-matrix analysis of the α spectra
following the decay of
8
Li and
8
B, which is applicable to
spectra of single-particle emission to bound states. Later
the formulation was expanded for cases where the final
state is also a resonance and a second particle is emitted,
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