53. International Winter Meeting on Nuclear Physics

Nuclear level density parameter of the hot Tin neutron-rich isotopes

Not scheduled

3m

Bormio, Italy

Poster Nuclear Structure and Astrophysics

Speaker

Mr Hocine KADI (Center of Reaserch in Astronomy, Astrophysics and Geophysics ( CRAAG))

Description

The study of nuclear level density for the hot nuclei is useful to understand the properties of excited nuclei and describe the dynamics of fission, and also in astrophysical applications (see e.g ref.[1]). It is usually calculated in the framework of statistical model of the back-Shifted Fermi-gas [2], which explicitly depends on the gap parameter, and nuclear level density parameter. The aim of this study is to investigate the effect of quantum and statistical fluctuations on the nuclear level density parameter. The statistical fluctuations are taken into account in a framework of the Modified BCS (MBCS) method and the quantum fluctuations are considered by using the particle number projection method: Modified Lipkin Nogami (MLN) [3,4]. For both methods, we use different formulas for determining the nuclear level density parameter, as functions of the excitation energy, entropy and heat capacity. One applied the methods in the case of Tin isotopes, as a first step the study is done for the ordinary isotopes and then extended to the neutron rich region. The obtained values of level density parameter will be compared with those of the FTBCS method as well as experimental data [5], and the results of reference [6]. The effect of the quantum and statistical fluctuations for each formula will be discussed. [1] T. Rauscher, F. K. Thielemann, and K. L. Kratz, Phys. Rev. C 56, 1613 (1997). [2] A. Gilbert and A.G.W. Cameron, Can. J. Phys. 43, 1446 (1965). [3] N. Dinh Dang, Phys. Rev. C 76, 064320 (2007). [4] H. Kadi, N. Benhamouda and A. Haddouche, Int. J. Mod. Phys. E 22, 1350034 (2013). [5] A. S. Iljinov et al, Nucl. Phys. A543, 517 (1992). [6] T. Von Egidy and D. Bucurescu Phys. Rev. C 76, 049901 (2006).