Atomic Nucleus with Halo: For the First Time, Scientists Measure the Size
of a One-Neutron Halo with Lasers

Atomic nucleus of beryllium is three times as large as normal due to halo /
Publication in Physical Review Letters

http://www.uni-mainz.de/eng/13031.php

16.02.2009
Atomic nuclei are normally compact structures defined by a sharp border.
About twenty-five years ago, it was discovered at the University of
California in Berkeley that there are exceptions to this picture: Certain
exotic atomic nuclei contain particles that shear off from the central core
and create a cloud, which surrounds the central core like a
'heiligenschein' or halo. An example of such a halo occurs in beryllium-11,
a specific isotope of the metal beryllium. Here, the halo is made up of a
single neutron. For the first time ever, scientists at the Institute of
Nuclear Chemistry of the Johannes Gutenberg University Mainz in cooperation
with colleagues from other institutes have succeeded in precisely measuring
this one-neutron halo by means of a laser, and in evaluating the dimensions
of the cloud. By studying neutron halos, scientists hope to gain further
understanding of the forces within the atomic nucleus that bind atoms
together, taking into account the fact that the degree of displacement of
halo neutrons from the atomic nuclear core is incompatible with the
concepts of classical nuclear physics.

"We intuitively imagine the atomic nucleus as a compact sphere consisting
of positively charged protons and uncharged neutrons," explains Dr.
Wilfried Nörtershäuser of the Institute of Nuclear Chemistry. "In fact, we
have known since the 1980s that atomic nuclei of certain neutron-rich
isotopes of the lightest elements - lithium, helium and beryllium -
completely contradict this conception." These isotopes consist of a compact
nuclear core and a cloud made of diluted nuclear material - called
'heiligenschein' or 'halo'. A halo consists mostly of neutrons that are
very weakly bound to the nuclear core, "normally with only one-tenth of the
usual binding energy of a neutron inside the core," explains Nörtershäuser.

The discovery of these exotic atomic nuclei created a new area of research,
which Nörtershäuser as the head of a young investigators group funded by
the German Helmholtz Association has pursued since 2005 at the University
in Mainz and at the GSI Helmholtz Center for Heavy Ion Research in
Darmstadt. Measuring halo nuclei is extremely difficult, since they can
only be artificially created in minute amounts. In addition, these
synthesized nuclei decay within seconds, mostly even in milliseconds.

Nörtershäuser’s team has now succeeded for the first time in measuring the
nuclear charge radius in beryllium-11. This nucleus consists of a dense
core with 4 protons and 6 neutrons and a single weakly bound neutron that
forms the halo. In order to accomplish this ultra-precise laser
spectroscopic measurement, the scientists used a method developed 30 years
ago at the University of Mainz, but combined it now for the first time with
the most modern techniques for precise laser frequency measurement, i.e.,
by employing an optical frequency comb. This combination alone was not
sufficient, though. Only by further expanding the method using an
additional laser system it was possible to achieve the right level of
precision. The technique was then applied to beryllium isotopes at the
Isotope Separator On Line (ISOLDE) facility for radioactive ion beams at
the European Organization for Nuclear Research (CERN) in Geneva. The
professional journal Physical Review Letters published this work in its
latest February 13 issue.

The measurements revealed that the average distance between the halo
neutrons and the dense core of the nucleus is 7 femtometers. Thus, the halo
neutron is about three times as far from the dense core as is the outermost
proton, since the core itself has a radius of only 2.5 femtometers. "This
is an impressive direct demonstration of the halo character of this
isotope. It is interesting that the halo neutron is thus much farther from
the other nucleons than would be permissible according to the effective
range of strong nuclear forces in the classical model," explains
Nörtershäuser. The strong interaction that holds atoms together can only
extend to a distance of between 2 to 3 femtometers. The riddle as to how
the halo neutron can exist at such a great distance from the core nucleus
can only be resolved by means of the principles of quantum mechanics: In
this model, the neutron must be characterized in terms of a so-called wave
function. Because of the low binding energy, the wave function only falls
off very slowly with increasing distance from the core. Thus, it is highly
likely that the neutron can expand into classically forbidden distances,
thereby inducing the expansive 'heiligenschein'.

This work was supported by the Helmholtz Association, the GSI Darmstadt and
the Federal Ministry of Education and Research (BMBF).

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