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Journal of Astrophysics & Aerospace Technology | ISSN: 2329-6542 | Volume 6
Atomic and Nuclear Physics
4
th
International Conference on
October 26-27, 2018 | Boston, USA
Liquid drop model of nuclei with account of viscosity
Azamat Khokonov
Kabardino-Balkarian State University, Russia
I
n present the interest to nuclear matter hydrodynamics increases. Liquid drop model (LDM) successfully being used for
semi-empirical formulation of surface and Coulomb terms in Bethe-Weizsacker mass formula. In this study in the frame
of nuclear liquid drop model an analytical solution for the frequency of capillary oscillations is obtained with taking into
account the damping due to viscosity and surrounding medium motion and polarizability. The normal coordinates for the
drop capillary oscillations are coefficients a
l
in expansion for drop surface radius over the Legendre polynomials
where
μ=cosθ, θ
is the polar angle shown in Fig.
The result for square of capillary oscillation frequency looking is as follows
where a is nucleus radius, ρ
1
, η
1
are the nuclear core matter density and viscosity, ρ
2
, η
2
are the density and viscosity of
surrounding area, ε
1
and ε
2
electrical permittivities of the inner and outer core medium, respectively. Comparison of octupole
and quadrupole vibrations for empty exterior gives
where
The model with empty exterior has been applied for estimation of even-even spherical nuclei surface tension and viscosity. On
the base of experimental data, it has been shown that energy shift of capillary oscillations of even-even spherical nuclei due to
viscous dissipation gives viscosities in the interval 4.2−7.6 MeV fm−2 c−1 for nuclei from Pd–106 to Hg–198. For non-zero
temperatures the ratio of shear viscosity η to entropy density s is estimated and compared with the limit
motivated by
AdS/CFT for quark–gluon plasma.
azkh@mail.ruJ Astrophys Aerospace Technol 2018, Volume 6
DOI: 10.4172/2329-6542-C3-024