Speaker
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\noindent{\underline{The 12th International Conference on Nucleus-Nucleus Collisions, June 21-26, 2015, Catania, Italy}}
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{\large \bf Exploring the high spin states of $^{88}$Zr}
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\underline{S. Saha}$^1$, R. Palit$^{1}$, J. Sethi$^{1}$, S. Biswas$^{1}$, P. Singh$^{1}$, D. Choudhury$^{1}$, P. C. Srivastava$^{2}$
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{\em $^1$ Department of Nuclear and Atomic Physics, Tata Institute of Fundamental Research, Mumbai - 400005, India} \
{\em $^2$ Department of Physics, Indian Institute of Technology, Roorkee - 247667, India}\
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Understanding of the complex structure and dynamics of a nuclear system
requires investigation of motion of the constituent nucleons and their mutual
interactions. The high spin states of a nucleus near shell closure provide unique
test bench for exclusively studying the excitations of the valence shell nucleons
in the nuclear mean field and the residual interactions. In addition, a number of
interesting phenomena are observed in doubly closed shell nuclei, like, the evolution of
collectivity and presence of high spin isomers, to mention a few \cite{heyde11}.
Nuclei around $^{90}$Zr having $Z = 40$ sub-shell closure and $N = 50$ major shell
closure are perfect candidates to probe these emergent phenomena \cite{ssaha12}.
Recently, the high spin states of $^{88}$Zr were populated with $^{13}$C($^{80}$Se,$5n$)
reaction using $^{13}$C beam at 60 MeV from TIFR-BARC pelletron facility \cite{ssaha14}.
The $\gamma$-rays emitted from the residual nuclei were detected using 18 Compton suppressed
clover HPGe array, know as INGA \cite{pa12}. The energy, spin and parity of several
states of $^{88}$Zr have been assigned. The results have been compared with large scale shell
model calculations for full unrestricted $f_5pg_9$ model space using two recently
developed interactions JUN45 \cite{honma09} and jj44b \cite{brown}. Although, there
are overall good agreement between the calculated and the experimental results, at
high spin their differences have been observed to be increased. To explore further higher
spin states a more symmetric reaction was performed using $^{30}$Si beam and $^{65}$Cu target
at 137 MeV. A number of high energy transitions have been observed
indicating contribution from particle excitation across the 50 shell gap.
In this conference, the spectroscopic study of $^{88}$Zr produced using the two
different reactions will be presented and the results will be interpreted using large
scale shell model calculations.
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\begin{thebibliography}{20}
\bibitem{heyde11} K. Heyde and J. L. Wood, Rev. Mod. Phys. {\bf 83} (2011) 1467.
\bibitem{ssaha12} S. Saha {\it et al.}, Phys. Rev. C {\bf 86} (2012) 034315.
\bibitem{ssaha14} S. Saha {\it et al.}, Phys. Rev. C {\bf 89} (2014) 044315.
\bibitem{pa12} R. Palit {\it et al.}, Nucl. Instrum. Methods A {\bf 680} (2012) 90.
\bibitem{honma09} M. Honma, T. Otsuka, T. Mizusaki and M Hojorth-Jensen, Phys. Rev. C {\bf 80} (2009) 064323.
\bibitem{brown} B. A. Brown and A. F. Lisetski (unpublished).
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