scholarly journals A systematic study of the effect of short range correlations on the occupation numbers of the shell model orbits in light nuclei

2019 ◽  
Vol 3 ◽  
pp. 48
Author(s):  
G. A. Lalazissis ◽  
S. E. Massen ◽  
C. P. Panos

The role of short-range correlations on the depletion of the Fermi sea is studied in light nuclei.The short range correlations are considered in an approximate treatment allowing a systematic study of nuclei in the region 4 < A < 40. The "natural orbital" representation is used for the determination of the occupation probabilities of the shell model orbits of the ground state wave function. The depletion of the nuclear Fermi sea appears to be, on the average, about 32%.

2010 ◽  
Vol 25 (21n23) ◽  
pp. 1985-1988
Author(s):  
TAKAYUKI MYO ◽  
HIROSHI TOKI ◽  
KIYOMI IKEDA

We propose a new method to describe nuclear structure using bare nuclear interaction, in which the tensor and short-range correlations are described by using the tensor optimized shell model (TOSM) and the unitary correlation operator method (UCOM), respectively.


2009 ◽  
Vol 24 (11n13) ◽  
pp. 847-850
Author(s):  
TAKAYUKI MYO ◽  
HIROSHI TOKI ◽  
KIYOMI IKEDA

We propose a new theoretical approach to calculate nuclear structure using bare nuclear interaction, in which the tensor and short-range correlations are described by using the tensor optimized shell model (TOSM) and the unitary correlation operator method (UCOM), respectively. We compare the obtained results using TOSM+UCOM for 4 He with the rigorous calculation.


2020 ◽  
Vol 5 ◽  
pp. 158
Author(s):  
G. A. Lalazissis ◽  
S. E. Massen ◽  
C. P. Panos

The influence of state dependent short range correlations on the occupation numbers of the single particle shell model orbits of the doubly closed shell nuclei 16O and 40Ca is examined. The study shows that the effect of the state dependence of the short range correlations is rather small. The total depletion of the nuclear Fermi sea changes slightly compared with the one calculated by considering state independent short range correlations.


2014 ◽  
Vol 569 ◽  
pp. 012065
Author(s):  
T Myo ◽  
A Umeya ◽  
K Horii ◽  
H Toki ◽  
K Ikeda

2006 ◽  
Vol 8 (25) ◽  
pp. 2972 ◽  
Author(s):  
P. S. Shternin ◽  
V. K. Ivanov ◽  
A. G. Suits ◽  
O. S. Vasyutinskii

2013 ◽  
Vol 436 ◽  
pp. 012029 ◽  
Author(s):  
T Myo ◽  
A Umeya ◽  
H Toki ◽  
K Ikeda

2014 ◽  
Vol 113 (24) ◽  
Author(s):  
Rebecca Dally ◽  
Tom Hogan ◽  
Alex Amato ◽  
Hubertus Luetkens ◽  
Chris Baines ◽  
...  

2019 ◽  
Vol 17 ◽  
pp. 23
Author(s):  
G. Pavlou ◽  
E. Mavrommatis ◽  
Ch. C. Moustakidis ◽  
J. W. Clark

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.


2015 ◽  
Vol 5 (1) ◽  
Author(s):  
David Billington ◽  
David Ernsting ◽  
Thomas E. Millichamp ◽  
Christopher Lester ◽  
Stephen B. Dugdale ◽  
...  

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