Physics Letters B 790 (2019) 367–371
Contents lists available at ScienceDirect
Physics Letters B
www.elsevier.com/locate/physletb
Reliable extraction of the dB(E1)/dE for
11
Be from its breakup at
520 MeV/nucleon
L. Moschini
a,∗
, P. Capel
b,a
a
Physique Nucléaire et Physique Quantique (C.P. 229), Université libre de Bruxelles (ULB), 50 avenue F.D. Roosevelt, B-1050 Brussels, Belgium
b
Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, Johann-Joachim-Becher Weg 45, D-55099 Mainz, Germany
a r t i c l e i n f o a b s t r a c t
Article history:
Received
3 August 2018
Received
in revised form 18 January 2019
Accepted
19 January 2019
Available
online 24 January 2019
Editor:
J.-P. Blaizot
Keywords:
One-neutron
halo nuclei
dB
(E1)/dE
Coulomb
breakup
Nuclear
breakup
Eikonal
model
Relativistic
correction
We analyze the breakup of the one-neutron halo nucleus
11
Be measured at 520 MeV/nucleon at GSI on
Pb and C targets within an eikonal description of the reaction including a proper treatment of special
relativity. The Coulomb term of the projectile-target interaction is corrected at first order, while its
nuclear part is described at the optical limit approximation. Good agreement with the data is obtained
using a description of
11
Be, which fits the breakup data of RIKEN. This solves the apparent discrepancy
between the dB(E1)/dE estimations from GSI and RIKEN for this nucleus.
© 2019 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP
3
.
Since their discovery in the mid-80s halo nuclei have been the
subject of intense experimental and theoretical studies [1,2]. These
nuclei, located on the edge of the valley of stability exhibit a very
exotic structure. They are much larger than their isobars and this
unusual size is qualitatively explained by a quantum-tunneling ef-
fect
in which one or two loosely bound valence nucleons have a
high probability of presence at a large distance from the other
nucleons, far beyond the range of the nuclear interaction. These
nucleons hence form a diffuse halo surrounding a compact core.
The archetypes of halo nuclei are
11
Be, with a one-neutron halo,
and
11
Li, with two neutrons in its halo.
Because
of their short lifetime, these nuclei are mostly stud-
ied
through reactions. The breakup reaction, during which the halo
nucleons dissociate from the core, is of special interest, as it re-
veals
the internal structure of the projectile. When the breakup
is measured on a heavy target, like Pb, the reaction is dominated
by the Coulomb interaction, and the dissociation is characterized
by the E1 strength from the ground state to the core-halo con-
tinuum
dB(E1)/dE [3]. In addition to its importance in the study
of halo nuclei, this observable plays also a role in nuclear astro-
physics,
as it is related to the rate of radiative captures at low
*
Corresponding author.
E-mail
addresses: laura.moschini@ulb.ac.be (L. Moschini), pcapel@uni-mainz.de
(P. Capel).
energy. Coulomb breakup can thus provide an indirect method to
infer cross sections of astrophysical interest [4,5].
Many
measurements have been performed to constrain this
value experimentally for various halo nuclei [3]. The Coulomb
breakup of
11
Be has been measured at 520 MeV/nucleon at GSI [6]
and
at 69 MeV/nucleon at RIKEN [7]. Surprisingly the E1 strengths
inferred from both experiments differ significantly from one an-
other.
A recent ab initio calculation of
11
Be provides a dB(E1)/dE
in
agreement with the RIKEN data [8]. In this Letter, we reanalyze
the GSI data to study the reason for this discrepancy. We consider
an eikonal description of the reaction [9,10]with a correction of
the Coulomb interaction [11,12], which enables us to account for
the Coulomb breakup and its interference with the contribution of
the nuclear interaction. We also use a proper treatment of special
relativity [13,14], which seems to play a significant role at these
energies [15,16]. Following Ref. [17], we describe the structure of
11
Be within a Halo-EFT, which has been fitted to the output of
the ab initio calculation of Ref. [8]. In addition to solve this long-
standing
issue, the model we develop in this work will provide a
reliable tool to analyze similar measurements performed for both
one- and two-nucleon halo nuclei at GSI and the recent RIBF fa-
cility
at RIKEN. It should therefore significantly contribute to the
study of nuclear structure and astrophysics away from stability.
To
describe the collision of a one-neutron halo nucleus on a
target, we consider the following three-body model of reactions.
https://doi.org/10.1016/j.physletb.2019.01.041
0370-2693/
© 2019 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by
SCOAP
3
.
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