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Investigation of Band Termination in the Lower fp Shell within the Cranked Relativistic Mean Field Model

Bhagwat, A and Wyss, R and Satuła, W and Meng, J and Gambhir, Y. K. (2012) Investigation of Band Termination in the Lower fp Shell within the Cranked Relativistic Mean Field Model. In: International Conference on Recent Trends in Nuclear Physics-2012: ICRTNP, 19–21 November 2012, Chitkara University, Barotiwala, India.

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Abstract

The excitation energy difference (ΔE) between the terminating states built on the fn 7/2 and d−1 3/2fn+1 7/2 configurations (here, ‘n’ denotes the number of valence particles outside the 40Ca core and the particle hole excitation across the magic gap 20 is of proton type) in the lower fp shell are studied systematically within the framework of the cranked relativistic mean field model. The ΔE thus defined, depends predominantly on the f7/2 - d3/2 shell gap, and its evolution as a function of neutron - proton asymmetry. The latter, in turn, depends on the isoscalar - isovector balance in the spin - orbit potential. Therefore,a systematic investigation of the difference ΔE is expected to test quantitatively the predicted shell gaps as a function of isospin. We find that: 1) the conventional NL3 parameter set over estimates the ΔE values, implying that the said shell gap is over - estimated in this parametrization and 2) the largest deviation between the calculated and the experimental values of ΔE is obtained for the nucleus with the smallest asymmetry value in the set of nuclei considered, and that the deviation decreases with increasing asymmetry, indicating that the in RMF parametrization considered, the isoscalar - isovector balance in the spin - orbit potential requires improvement. We carry out a re - fit of the RMF parameters to attempt a remedy to these two problems. We find that in addition to the binding energies and charge radii, if a constraint is put on the f7/2 - d3/2 shell gap in the fit to the Lagrangian parameters, the overall agreement of ΔE with the experiment improves significantly, without disturbing the agreement already achieved for the bulk properties of the nuclei spanning the entire periodic table. At a finer level, however, it is found that the isoscalar - isovector balance in the spin orbit interaction is required to be improved further.A detailed work in this direction is in progress.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: RMF Model, Band Termination
Subjects: Departments at MU > Manipal Centre for Natural Sciences
Depositing User: MCNS Library
Date Deposited: 14 Sep 2013 10:40
Last Modified: 07 Nov 2014 05:20
URI: http://eprints.manipal.edu/id/eprint/137190

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