Köln 2004 – scientific programme
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HK: Physik der Hadronen und Kerne
HK 29: Nuclear Structure/Spectroscopy V
HK 29.2: Group Report
Wednesday, March 10, 2004, 14:30–15:00, A
Evolution of the “β-Excitation” in Axially-Symmetric Transitional Nuclei — •N. Pietralla1,2, C. Fransen2, O. Gorbachenko2, and D. Mücher2 — 1Dept. of Physics, State Univ. of New York at Stony Brook — 2Inst. für Kernphysik, Univ. zu Köln
The structure of transitional nuclei has traditionally been considered
the most complicated to comprehend until recently the concept of
“critical point symmetries”, applicable to situations close to the
transitional points of quantum shape phase transitions, have been
introduced [1].
These analytical solutions correspond to square-well potentials in
deformation
variables and serve as new benchmarks of nuclear structure.
The properties of excited Jπ= 0+ states are particularly sensitive
for testing the critical-point character of transitional nuclei [2].
Iachello’s X(5) solution has been generalized
to the transition path between X(5) and the rigid rotor limit using
infinite square-well potentials in the quadrupole deformation parameter
β confined within boundaries at βM > βm≥ 0.
Analytical solutions in terms of Bessel-functions of first and second kind
were derived [3].
The new solutions are presented and compared to data.
The evolutionary trajectory of 02+ states in nuclei of the N≈
90
transition region is well described [3].
Supported by the NSF under PHY-0245018 and by the DFG
under Pi 393/1-2.
[1] F. Iachello, Phys. Rev. Lett. 85, 3580 (2000);
ibid 87, 052502 (2001); ibid 91,
132502 (2003).
[2] R.F. Casten and N.V. Zamfir, Phys. Rev. Lett. 85, 3584
(2000);
ibid 87, 052503 (2001).
[3] N. Pietralla and O. Gorbachenko,
submitted for publication.