Systematic calculations of the ground state properties of superheavy nuclei

Ren, Zhongzhou; Tai, Fei; Ding-Han, Chen

doi:10.1103/physrevc.66.064306

Cited by 67 publications

(31 citation statements)

References 35 publications

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“…This formula successfully gave the experimental average binding energy curve of nuclei (B/A) and led to the successful explanation of large energy release of the 235 U fission by Bohr and Wheeler in 1939 [13]. At present, various studies on variations of nuclear masses are still the hot points of nuclear physics [4][5][6][7][8][9][10][11][12][14][15][16][17][18][19][20]. A large number of mass models were available for the whole range of Z and A numbers of present and future interest and a complete review on them was made by Haustein in 1989 [4,5].…”

Section: Introductionmentioning

confidence: 98%

“…Since the discovery of the neutron at the beginning of the 1930s nuclear physicists have spent much time developing various nuclear models to calculate accurately the binding energies of nuclei [1][2][3][4][5][6][7][8][9][10][11][12]. The original studies on nuclear masses are the semiempirical mass formula proposed by Weizsäcker and Bethe in the middle of 1930s [1,2].…”

Section: Introductionmentioning

confidence: 99%

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New model of binding energies of heavy nuclei withZ≥90

Dong

Ren

2005

Phys. Rev. C

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A new form of the binding energy formula of heavy nuclei with Z 90 is proposed where new terms beyond the standard Bethe and Weizsäcker formula are introduced by analytical expressions. This can be considered an interesting development of the Bethe and Weizsäcker mass formula for heavy nuclei with Z 90. Two versions of the formulae are presented. The first version of the formula can reproduce the 117 known binding energies of nuclei with Z 90 and N 140 with an average deviation 0.118 MeV. This is the first time that the binding energies of heavy nuclei with Z 90 and N 140 can be calculated very accurately by a formula with only seven parameters. The binding energies, α-decay energies, and α-decay half-lives of unknown superheavy nuclei are predicted. The second version of the formula is obtained by fitting the 181 data of nuclei with Z 90 with nine parameters and good agreement with experimental binding energies is also reached for all nuclei with Z 90.

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

New model of binding energies of heavy nuclei withZ≥90

Dong

Ren

2005

Phys. Rev. C

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“…Inner fission barriers in several nuclei have been calculated in the axially symmetric relativistic mean field (RMF) + BCS approach in Refs. [26][27][28][29][30]. However, these investigations employ the constant gap approximation in the BCS part.…”

Section: Introductionmentioning

confidence: 99%

Fission barriers in actinides in covariant density functional theory: The role of triaxiality

2010

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Relativistic mean field theory allowing for triaxial deformations is applied for a systematic study of fission barriers in the actinide region. Different pairing schemes are studied in details and it is shown that covariant density functional theory is able to describe fission barriers on a level of accuracy comparable with non-relativistic calculations, even with the best phenomenological macroscopic+microscopic approaches. Triaxiality in the region of the first saddle plays a crucial role in achieving that.

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“…Although the nuclear symmetry energy at ρ 0 is known to be around 30 MeV from the empirical liquid-drop mass formula [27,28], its values at other densities, especially at supra-saturation densities, are poorly known [6,7]. Various microscopic and phenomenological models, such as the relativistic Dirac-Brueckner-HartreeFock (DBHF) [29][30][31][32][33][34][35] and the nonrelativistic BruecknerHartree-Fock (BHF) [36][37][38][39] approach, the relativistic mean-field (RMF) model based on nucleon-meson interactions [12,[40][41][42], and the nonrelativistic mean-field model based on Skyrme-like interactions [43][44][45][46][47][48][49][50][51], have been used to study the isospin-dependent properties of asymmetric nuclear matter, such as the nuclear symmetry energy, the nuclear symmetry potential, and the isospin-splitting of the nucleon effective masses, but the predicted results vary widely. In fact, even the sign of the symmetry energy above 3ρ 0 is still uncertain [52,53].…”

Section: Introductionmentioning

confidence: 99%

Higher-order effects on the incompressibility of isospin asymmetric nuclear matter

et al. 2009

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Analytical expressions for the saturation density of asymmetric nuclear matter as well as its binding energy and incompressibility at saturation density are given up to fourth order in the isospin asymmetry δ = (ρ n − ρ p )/ρ using 11 characteristic parameters defined by the density derivatives of the binding energy per nucleon of symmetric nuclear matter, the symmetry energy E sym (ρ), and the fourth-order symmetry energy E sym,4 (ρ) at normal nuclear density ρ 0 . Using an isospin-and momentum-dependent modified Gogny interaction (MDI) and the Skyrme-Hartree-Fock (SHF) approach with 63 popular Skyrme interactions, we have systematically studied the isospin dependence of the saturation properties of asymmetric nuclear matter, particularly the incompressibilityat saturation density. Our results show that the magnitude of the higher order K sat,4 parameter is generally small compared to that of the K sat,2 parameter. The latter essentially characterizes the isospin dependence of the incompressibility at saturation density and can be expressed asL, where L and K sym represent, respectively, the slope and curvature parameters of the symmetry energy at ρ 0 and J 0 is the third-order derivative parameter of symmetric nuclear matter at ρ 0 . Furthermore, we have constructed a phenomenological modified Skyrme-like (MSL) model that can reasonably describe the general properties of symmetric nuclear matter and the symmetry energy predicted by both the MDI model and the SHF approach. The results indicate that the higher order J 0 contribution to K sat,2 generally cannot be neglected. In addition, it is found that there exists a nicely linear correlation between K sym and L as well as between J 0 /K 0 and K 0 . These correlations together with the empirical constraints on K 0 , L, E sym (ρ 0 ), and the nucleon effective mass lead to an estimate of K sat,2 = −370 ± 120 MeV.

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Systematic calculations of the ground state properties of superheavy nuclei

Cited by 67 publications

References 35 publications

New model of binding energies of heavy nuclei withZ≥90

New model of binding energies of heavy nuclei withZ≥90

Fission barriers in actinides in covariant density functional theory: The role of triaxiality

Higher-order effects on the incompressibility of isospin asymmetric nuclear matter

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