scholarly journals Softness of Sn isotopes in relativistic semiclassical approximation

2015 ◽  
Vol 30 (20) ◽  
pp. 1550097 ◽  
Author(s):  
S. K. Biswal ◽  
S. K. Singh ◽  
S. K. Patra

Within the framework of relativistic Thomas–Fermi (RTF) and relativistic extended Thomas–Fermi (RETF) approximations, we calculate the giant monopole resonance (GMR) excitation energies for Sn and related nuclei. A large number of nonlinear relativistic force parameters are used in these calculations. We find a parameter set is capable to reproduce the experimental monopole energy of Sn isotopes, when its nuclear matter compressibility lies within 210–230 MeV, however, it fails to reproduce the GMR energy of other nuclei. That means, simultaneously a parameter set cannot reproduce the GMR values of Sn and other nuclei.

1994 ◽  
Vol 569 (1-2) ◽  
pp. 303-312 ◽  
Author(s):  
S. Shlomo ◽  
D.H. Youngblood

1969 ◽  
Vol 24 (7) ◽  
pp. 1037-1039
Author(s):  
R Kar ◽  
M Roy

Abstract Using a Thomas-Fermi method developed by KUMAR, LE COUTEUR and ROY 1 , it is shown here that the two-body soft-core potential suggested by KÖHLER and WAGMARE 2 does not give rise to correct binding energy and equilibrium density in nuclear matter calculations.


1999 ◽  
Vol 82 (4) ◽  
pp. 691-694 ◽  
Author(s):  
D. H. Youngblood ◽  
H. L. Clark ◽  
Y.-W. Lui

2011 ◽  
Vol 20 (10) ◽  
pp. 1995-2002 ◽  
Author(s):  
MICHAEL ROTONDO ◽  
REMO RUFFINI ◽  
SHE-SHENG XUE ◽  
VLADIMIR POPOV

In a unified treatment we extrapolate results for neutral atoms with heavy nuclei to nuclear matter cores of stellar dimensions with mass numbers A ≈ (m Planck /mn)3 ~ 1057. We give explicit analytic solutions for the relativistic Thomas–Fermi equation of Nn neutrons, Np protons and Ne electrons in beta equilibrium, fulfilling global charge neutrality, with Np = Ne. We give explicit expressions for the physical parameters including the Coulomb and the surface energies and we study as well the stability of such configurations. Analogous to heavy nuclei these macroscopic cores exhibit an overcritical electric field near their surface.


1996 ◽  
Vol 54 (5) ◽  
pp. 2525-2537 ◽  
Author(s):  
C. da Providência ◽  
L. Brito ◽  
J. da Providência ◽  
M. Nielsen ◽  
X. Viñas

1999 ◽  
Vol 54 (1) ◽  
pp. 83-90 ◽  
Author(s):  
K. Strobel ◽  
F. Weber ◽  
M. K. Weigel

Abstract The properties of warm symmetric and asymmetric nuclear matter are investigated in the frame of the Thomas-Fermi approximation using a recent modern parameterization of the effective nucleon-nucleon interaction of Myers and Świątecki. Special attention is paid to the liquid-gas phase transition, which is of special interest in modern nuclear physics. We have determined the critical temperature, critical density and the so-called flash temperature. Furthermore, the equation of state for cold neutron star matter is calculated.


1974 ◽  
Vol 53 ◽  
pp. 67-75
Author(s):  
J. Robert Buchler

The nuclear Thomas-Fermi model which is based on nuclear matter calculations has been successfully applied to the study of the bulk properties of nuclei. It is ideally suited for extrapolation into the region of very neutron-rich and of superheavy nuclei. It is therefore a valuable approach for r-process calculations as well as for the study of neutron star matter at subnuclear densities.


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