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Our
studies of octupole collectivity
are motivated by the lack of understanding of reflection asymmetry in nuclei
and by its important relevance to particular measurements of symmetry breaking
phenomena. This is important for nuclear
theory as there is a poor understanding of the nature of low-lying octupole
collectivity in nuclei, with different interpretations (e.g., clustering
phenomena, deformed mean field with different interactions etc.) for the
observed phenomena in nuclei having strong octupole correlations in the mass
region A~224. A central question is whether atomic nuclei can assume a
permanent octupole distortion, or “pear” shape, or whether the instability is
dynamic, with the nucleus undergoing octupole vibrations.
Beyond
nuclear physics, atoms with octupole-deformed nuclei are very important in the
search for permanent atomic Electric-Dipole Moments. The observation of a
non-zero EDM indicates T- and P- (or equivalently CP-) violation that cannot be
explained by the Standard Model (SM). CP violation has not yet been observed for
processes governed by the strong and electromagnetic interaction. Measurements
that give a limit on the EDM can provide the most important constraints on the
many proposed extensions of the SM that give rise to CP violation. Octupole-deformed nuclei will have large
nuclear “Schiff” moments due to the presence of nearly degenerate parity
doublets (seen in odd mass nuclei) and large collective octupole deformation.
Since the Schiff moment induces the atomic EDM, the sensitivity over
non-octupole systems such as for 199Hg, currently providing one of the
most stringent limits on an atomic EDM, can be improved by a factor of 100-1000. Essential in the interpretation of such
limits in terms of new physics is a detailed understanding of the structure of
these nuclei.
Our investigations of octupole shapes largely employ the method of Coulomb
excitation. These experiments have been made possible by the unique capability
of HIE-ISOLDE, at ISOLDE, CERN, to post-accelerate mass 200
radioactive ions. Coulomb excitation measurements can measure directly nuclear
matrix elements and provide detailed tests of the effective interactions used
in the descriptions of nuclei. We
have demonstrated that it is possible to provide more precise information on
the nature of the octupole collectivity through Coulomb excitation of
radioactive radon (Rn) and radium (Ra) beams. By studying their behaviour under
rotations, we have shown that Rn isotopes do not possess rigid pear-shapes, and hence are not ideal candidates for
EDM searches. On the other hand, by measuring the only observable that provides
unambiguous and direct evidence for enhanced octupole correlations, the E3
matrix element, we have shown that Ra-222 and Ra-224 have permanent octupole deformation. This information is
important for the on-going searches for EDMs in radium atoms. In the longer term our programme of study will
benefit from the ISOLDE
Solenoidal Spectrometer (ISS), constructed by a Liverpool-led
collaboration, that has initially been used to study single
particle structure in exotic nuclei.