Abstract.
With the recent advances in radioactive ion beam technology, Coulomb excitation at safe energies becomes an important experimental tool in nuclear-structure physics. The usefulness of the technique to extract key information on the electromagnetic properties of nuclei has been demonstrated since the 1960s with stable beam and target combinations. New challenges present themselves when studying exotic nuclei with this technique, including dealing with low statistics or number of data points, absolute and relative normalisation of the measured cross-sections and a lack of complementary experimental data, such as excited-state lifetimes and branching ratios. This paper addresses some of these common issues and presents analysis techniques to extract transition strengths and quadrupole moments utilising the least-squares fit code, GOSIA.
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References
D.G. Jenkins, Nat. Phys. 10, 909 (2014)
A. Görgen, J. Phys. G: Nucl. Part. Phys. 37, 103101 (2010)
D. Cline, Annu. Rev. Nucl. Part. Sci. 36, 683 (1986)
T. Czosnyka, D. Cline, C.Y. Wu, Bull. Am. Phys. Soc. 28, 745 (1983)
D. Cline, Gosia User Manual for Simulation and Analysis of Coulomb Excitation Experiments (Rochester, NY, US, 2012) http://www.pas.rochester.edu/~cline/Gosia/Gosia_Manual_20120510.pdf
K. Alder, A. Winther, Coulomb Excitation: A Collection of Reprints (Academic Publishing, New York, 1966)
K. Alder, A. Bohr, T. Huus, B. Mottelson, A. Winther, Rev. Mod. Phys. 28, 432 (1956)
D. Cline, P.M.S. Lesser, C. Townsley, unpublished (1974)
L. Hasselgren, D. Cline, $E2$ Matrix Elements and Shape Coexistence in ${}^{110}Pd$, in Interacting Bose-Fermi Systems in Nuclei, edited by F. Iachello (Springer, US, 1981) pp. 59--63
B. Kotliński, Quadrupole collectivity in ${}^{72}Ge$, ${}^{110}Pd$, and ${}^{168}Er$, PhD Thesis, University of Rochester (1984)
C.Y. Wu, $E2$ Collective behaviour in the even-even osmium and platinum nuclei, PhD Thesis, University of Rochester (1983)
C.Y. Wu et al., Phys. Rev. C 40, R3 (1989)
C.Y. Wu et al., Nucl. Phys. A 533, 359 (1991)
C.Y. Wu et al., Nucl. Phys. A 607, 178 (1996)
C. Fahlander et al., Nucl. Phys. A 485, 327 (1988)
B. Kotliński et al., Nucl. Phys. A 519, 646 (1990)
A. Kavka et al., Nucl. Phys. A 593, 177 (1995)
B. Kotliński et al., Nucl. Phys. A 517, 365 (1990)
T. Czosnyka et al., Nucl. Phys. A 458, 123 (1986)
R. Ibbotson et al., Phys. Rev. Lett. 71, 1990 (1993)
G. Breit, R. Gluckstern, J. Russell, Phys. Rev. 103, 727 (1956)
J. de Boer, J. Eichler, The Reorientation Effect, in Advanced in Nuclear Physics, edited by M. Baranger, E. Vogt, Vol. 1 (Springer, US, 1968) Chapt. 1, pp. 1--65
L.P. Gaffney et al., Phys. Rev. C 89, 024307 (2014)
N. Bree et al., Phys. Rev. Lett. 112, 162701 (2014)
E. Clément et al., Phys. Rev. C 75, 054313 (2007)
K. Wrzosek-Lipska, to be published in Phys. Rev. C
N. Kesteloot et al., Phys. Rev. C 92, 054301 (2015)
D. Radford et al., Phys. Rev. Lett. 88, 222501 (2002)
J.M. Allmond et al., Phys. Rev. C 90, 034309 (2014)
N. Warr et al., Eur. Phys. J. A 49, 40 (2013)
N. Bree, Shape coexistence in the neutron-deficient mercury isotopes studied through Coulomb excitation, PhD Thesis, KU Leuven (2014).
A. Görgen et al., Eur. Phys. J. A 26, 153 (2005)
T. Grahn et al., Phys. Rev. C 80, 014324 (2009)
L.P. Gaffney et al., Nature 497, 199 (2013)
J. Van de Walle et al., Phys. Rev. C 79, 014309 (2009)
D. Cline, P.M.S. Lesser, Nucl. Instrum. Methods 82, 291 (1970)
P.M.S. Lesser, D. Cline, P. Goode, R.N. Horoshko, Nucl. Phys. A 190, 597 (1972)
D. Rogers, Nucl. Instrum. Methods 127, 253 (1975)
M. Albers et al., Phys. Rev. Lett. 108, 062701 (2012)
M. Albers et al., Nucl. Phys. A 899, 1 (2013)
L.P. Gaffney et al., Eur. Phys. J. A 51, 136 (2015)
J. Ljungvall et al., Phys. Rev. C 81, 061301 (2010)
W. Rother et al., Phys. Rev. Lett. 106, 022502 (2011)
L.P. Gaffney et al., Phys. Rev. C 91, 064313 (2015)
A. Bohr, B.R. Mottelson, Nuclear Structure, Vol. II: Nuclear Deformations (W. A. Benjamin, New York, NY, USA, 1969)
M. Zielińska et al., Phys. Rev. C 80, 014317 (2009)
D.D. DiJulio et al., Phys. Rev. C 86, 031302 (2012)
D.D. DiJulio et al., Eur. Phys. J. A 48, 105 (2012)
B. Siebeck et al., Phys. Rev. C 91, 014311 (2015)
C. Sotty et al., Phys. Rev. Lett. 115, 172501 (2015)
G. Alaga, K. Alder, A. Bohr, B. Mottelson, K. Dan. Vidensk. Selsk. Mat.-Fys. Medd. 29, (1955)
C. Plaisir et al., Phys. Rev. C 89, 021302 (2014)
T. Roger, private communications
K. Alder, A. Winther, Electromagnetic Excitation: Theory of Coulomb Excitation with Heavy Ions (North-Holland Publ. Co., 1975)
J. Srebrny et al., Nucl. Phys. A 766, 25 (2006)
F. Bosch, H. Spehl, Z. Phys. A 280, 329 (1977)
R. Brenn, H. Spehl, A. Weckherlin, H.A. Doubt, G. Middelkoop, Z. Phys. A 281, 219 (1977)
A.E. Kavka, Coulomb excitation: analytical methods and experimental results on even selenium nuclei, PhD Thesis, University of Uppsala (1989)
J.N. Orce et al., Phys. Rev. C 86, 041303 (2012)
E. Clément et al., Phys. Rev. Lett. 116, 022701 (2016)
M. Lindroos, P. Butler, M. Huyse, K. Riisager, Nucl. Instrum. Methods B 266, 4687 (2008)
SPIRAL2 Web Page at GANIL: http://www.ganil-spiral2.eu/spiral2
ARIEL Web Page at TRIUMF: http://www.triumf.ca/ariel
CARIBU Web Page at ANL: http://www.phy.anl.gov/atlas/caribu/
G. Pretea et al., EPJ Web of Conferences 66, 11030 (2014)
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Zielińska, M., Gaffney, L.P., Wrzosek-Lipska, K. et al. Analysis methods of safe Coulomb-excitation experiments with radioactive ion beams using the GOSIA code. Eur. Phys. J. A 52, 99 (2016). https://doi.org/10.1140/epja/i2016-16099-8
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DOI: https://doi.org/10.1140/epja/i2016-16099-8