Lowest-order constrained variational calculation for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>-stable matter at finite temperature

Modarres, M.; Moshfegh, H. R.

doi:10.1103/physrevc.62.044308

Cited by 42 publications

(15 citation statements)

References 32 publications

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“…[9][10][11][12] In these calculations, a very good agreement was found between the LOCV results and the more complicated approaches such as the DMC and the FHNC, which go beyond the lowest order. 13 14 It has been also shown that the LOCV formalism has very good convergence properties i.e., the three-body cluster energy is much smaller than the two-body one.…”

Section: Introductionsupporting

confidence: 53%

The (E)LOCV Study of Liquid <SUP>3</SUP>He Atoms in a Nanometer Tube

Modarres¹,

Motahari²,

Rajabi³

2013

Jnl of Comp & Theo Nano

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The bound state of 3 He atoms confined in a nanometer tube is studied in the framework of (extended) lowest order constrained variational ((E)LOCV) method. The Woods-Saxon (WS) density-profile is assumed from the center of tube towards its boundary, for the liquid helium 3 atoms distribution. It is found that the binding energy of liquid helium 3 per atom and unit length saturates at N = 6 (4) 3 He atoms with the nanometer tube radius of R 12 55 (9 13) Å in the frame work of LOCV (ELOCV) method. The corresponding saturation energy is about −1 35 (−1 67) K, i.e., as expected, its lower in the ELOCV case. The density-profile distribution at saturation point and the comparison of present results with the others approaches are also discussed and a reasonable agreement is found.

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Section: Introductionsupporting

confidence: 53%

The (E)LOCV Study of Liquid <SUP>3</SUP>He Atoms in a Nanometer Tube

Modarres¹,

Motahari²,

Rajabi³

2013

Jnl of Comp & Theo Nano

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“…This method was reformulated to include more sophisticated interactions [34], such as UV 14 , AV 18 [35], and charge-dependent Reid potential (Reid93) [36]. The LOCV method has been also developed for calculating the various thermodynamic properties of hot and frozen homogeneous fermionic fluids, such as symmetric and asymmetric nuclear matter [37], β-stable matter [38], helium-3 [39], and electron fluid [40], with different realistic interactions. Recently, the LOCV formalism was developed for covering the relativistic Hamiltonian with a potential that has been fitted relativistically to nucleon-nucleon phase shifts [41].…”

Section: The Variational Methodsmentioning

confidence: 99%

Correlations in nuclear matter

Baldo

Moshfegh

2012

Phys. Rev. C

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We analyze the nuclear matter correlation properties in terms of the pair correlation function. To this aim we systematically compare the results for the variational method in the lowest-order constrained variational (LOCV) approximation and for the Bruekner-Hartree-Fock (BHF) scheme. A formal link between the Jastrow correlation factor of LOCV and the defect function (DF) of BHF is established and it is shown under which conditions and approximations the two approaches are equivalent. From the numerical comparison it turns out that the two correlation functions are quite close, which indicates in particular that the DF is approximately local and momentum independent. The equations of state (EOS) of nuclear matter in the two approaches are also compared. It is found that once the three-body forces (TBF) are introduced, the two EOS are fairly close, while the agreement between the correlation functions holds with or without TBF.

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“…The LOCV formalism has been also extended for calculating the various thermodynamic properties of the symmetric nuclear matter [28], neutron matter [29], β-stable matter [30] and the asymmetrical nuclear matter [31] with the Reid and -Reid potentials. In the above calculations the liquid-gas phase transition, corresponding critical temperatures and various critical index have been found.…”

Section: Introductionmentioning

confidence: 99%