scholarly journals S-pairing in neutron matter: I. Correlated basis function theory

2008 ◽  
Vol 803 (3-4) ◽  
pp. 137-158 ◽  
Author(s):  
Adelchi Fabrocini ◽  
Stefano Fantoni ◽  
Alexey Yu. Illarionov ◽  
Kevin E. Schmidt
Keyword(s):  
Basis Function ◽  
Function Theory ◽  
Neutron Matter

scholarly journals Ground state ofN=Zdoubly closed shell nuclei in correlated basis function theory

1998 ◽  
Vol 57 (4) ◽  
pp. 1668-1680 ◽  
Author(s):  
A. Fabrocini ◽  
F. Arias de Saavedra ◽  
G. Co’ ◽  
P. Folgarait
Keyword(s):  
Basis Function ◽  
Ground State ◽  
Function Theory ◽  
Closed Shell ◽  
Closed Shell Nuclei

scholarly journals A CBF calculation of 1S0 Superfluidity in the Inner Crust of Neutron Stars

2019 ◽  
Vol 17 ◽  
pp. 23
Author(s):  
G. Pavlou ◽  
E. Mavrommatis ◽  
Ch. C. Moustakidis ◽  
J. W. Clark
Keyword(s):  
Equation Of State ◽  
Neutron Stars ◽  
Basis Function ◽  
Correlation Functions ◽  
Short Range ◽  
Higher Order ◽  
Neutron Matter ◽  
S Wave ◽  
Short Range Correlations

Singlet S-wave superfluidity of dilute neutron matter in the inner crust of neutron stars is studied within the correlated BCS (Bardeen, Cooper, Schrieffer) method, taking into account both pairing and short-range correlations. First, the equation of state (EOS) of normal neutron matter is calculated within the correlated-basis-function (CBF) method in lowest cluster order using the Argonne V18 and V4′ potentials and Jastrow-type correlation functions. The 1S0 superfluid gap is then calculated with these potentials and correlation functions. The dependence of our results on the choice of the correlation functions is ana- lyzed and the role of higher-order cluster corrections is considered. The values obtained for the 1S0 gap within this simplified scheme are comparable to those from other, more elaborate, methods.

scholarly journals CORRELATED-BASIS-FUNCTION THEORY FOR EXCITED STATES

1989 ◽  
Vol 38 (10) ◽  
pp. 1648
Author(s):  
SHUAI ZHI-GANG ◽  
SUN XIN ◽  
FU ROU-LI
Keyword(s):  
Excited States ◽  
Basis Function ◽  
Function Theory

scholarly journals Ground states of medium-heavy doubly-closed-shell nuclei in correlated-basis function theory

2006 ◽  
Vol 73 (5) ◽  
Author(s):  
C. Bisconti ◽  
F. Arias de Saavedra ◽  
G. Co' ◽  
A. Fabrocini
Keyword(s):  
Basis Function ◽  
Function Theory ◽  
Ground States ◽  
Closed Shell ◽  
Closed Shell Nuclei

scholarly journals CORRELATIONS AND REALISTIC INTERACTIONS IN DOUBLY CLOSED SHELL NUCLEI

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1558-1567 ◽  
Author(s):  
A. FABROCINI ◽  
F. ARIAS DE SAAVEDRA ◽  
G. P. CO'
Keyword(s):  
Experimental Data ◽  
Basis Function ◽  
Ground State ◽  
Function Theory ◽  
Closed Shell ◽  
Complete Agreement ◽  
Static Structure ◽  
State Dependent ◽  
Closed Shell Nuclei ◽  
Variational Calculations

We review the latest variational calculations of the ground state properties of doubly closed shell nuclei, from 12 C to 208 Pb , with semirealistic and realistic two- and three-nucleon interactions. The studies are carried on within the framework of the correlated basis function theory and integral equations technique, with state dependent correlations having central and tensor components. We report results for the ground-estate energy, one- and two-body densities and static structure functions. For 16 O and 40 Ca we use modern interactions and find that the accuracy of the method is comparable to that attained in nuclear matter with similar hamiltonians, giving nuclei underbound by ~2 MeV/A. The computed Coulomb sums are in complete agreement with the latest analysis of the experimental data.

Brownian motion with quadratic killing and some implications

1986 ◽  
Vol 23 (04) ◽  
pp. 893-903 ◽  
Author(s):  
Michael L. Wenocur
Keyword(s):  
Brownian Motion ◽  
Weibull Distribution ◽  
Special Function ◽  
Function Theory ◽  
Killing Rate

Brownian motion subject to a quadratic killing rate and its connection with the Weibull distribution is analyzed. The distribution obtained for the process killing time significantly generalizes the Weibull. The derivation involves the use of the Karhunen–Loève expansion for Brownian motion, special function theory, and the calculus of residues.

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