Semiclassical and microscopic calculations of the spin-orbit density part of the Skyrme nucleus-nucleus interaction potential with temperature effects included

Gupta, Raj K.; Singh, Dalip; Greiner, Walter

doi:10.1103/physrevc.75.024603

Cited by 55 publications

(35 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The SEDF in semiclassical Extended Thomas Fermi (ETF) method [6] provides a convenient way for calculating the interaction potential between two nuclei. In the Hamiltonian density, the kinetic energy density τ as well as the spin-orbit density J are functions of the nucleon density ρ q , q = n, p. The nucleus-nucleus interaction potential in SEDF, based on semiclassical ETF model, is…”

Section: Semi-classical Skyrme Energy Density Formalism (Sedf)mentioning

confidence: 99%

“…Then, the interaction potential V N (R) between two nuclei separated by R = R 1 + R 2 + s is given as (for more detail see Ref. [6,13,14]),…”

Section: Semi-classical Skyrme Energy Density Formalism (Sedf)mentioning

confidence: 99%

“…In order to have better understanding of fusion barrier, the contribution of nuclear interaction potential plays a significant role. In the Skyrme energy density formalism (SEDF) [5][6][7], the spinorbit dependent (V J ) and spin-orbit independent (V P ) potential add up to give the total nuclear potential. Therefore within this approach one can study effect of deformation and orientation on individual contribution of nuclear potential.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effect of deformation and orientation on spin orbit density dependent nuclear potential

2017

View full text Add to dashboard Cite

Abstract. Role of deformation and orientation is investigated on spin-orbit density dependent part V J of nuclear potential (V N =V P +V J ) obtained within semi-classical Thomas Fermi approach of Skyrme energy density formalism. Calculations are performed for 24−54 Si+ 30 Si reactions, with spherical target 30 Si and projectiles 24−54 Si having prolate and oblate shapes. The quadrupole deformation β 2 is varying within range of 0.023 ≤ β 2 ≤ 0.531 for prolate and -0.242 ≤ β 2 ≤ -0.592 for oblate projectiles. The spin-orbit dependent potential gets influenced significantly with inclusion of deformation and orientation effect. The spin-orbit barrier and position gets significantly influenced by both the sign and magnitude of β 2 -deformation. Si-nuclei with β 2 <0 have higher spin-orbit barrier (compact spin-orbit configuration) in comparison to systems with β 2 >0. The possible role of spin-orbit potential on barrier characteristics such as barrier height, barrier curvature and on the fusion pocket is also probed. In reference to prolate and oblate systems, the angular dependence of spin-orbit potential is further studied on fusion cross-sections.

show abstract

Section: Semi-classical Skyrme Energy Density Formalism (Sedf)mentioning

confidence: 99%

“…Then, the interaction potential V N (R) between two nuclei separated by R = R 1 + R 2 + s is given as (for more detail see Ref. [6,13,14]),…”

Section: Semi-classical Skyrme Energy Density Formalism (Sedf)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effect of deformation and orientation on spin orbit density dependent nuclear potential

2017

View full text Add to dashboard Cite

show abstract

“…Moreover, in Ref. [21] a comparison drawn among nuclear density distributions obtained by ETF and HF calculations and the proposed Fermi density in Ref. [21] showed that such a Fermi density [21], instead of self-consistent densities, can be reasonably employed in the semiclassical ETF model.…”

Section: Density Distributions Of Nucleimentioning

confidence: 99%

“…and R 0i and a i are half-density radii and the surface thickness parameters, which were determined based on fitting the experimental values to the polynomials in the nuclear mass region A = 4-209 as [21] R 0i = 0.90106 + 0.…”

Section: Density Distributions Of Nucleimentioning

confidence: 99%

Comparative study of fusion barriers using Skyrme interactions and the energy density functional

Ghodsi

Torabi

2015

Phys. Rev. C

View full text Add to dashboard Cite

Using different Skyrme interactions, we have carried out a comparative analysis of fusion barriers for a wide range of interacting nuclei in the framework of semiclassical Skyrme energy density formalism. The results of our calculations reveal that SVI, SII, and SIII Skyrme forces are able to reproduce the empirical values of barrier heights with higher accuracy than the other considered forces in this formalism. It is also shown that the calculated nucleus-nucleus potentials derived from such Skyrme interactions are able to explain the fusion cross sections at energies near and above the barrier.

show abstract

Relativistic Mean-Field Treatment to the Fusion Cross-Section of the Reaction $$^{12}$$C + $$^{20}$$Ne Using Hill–Wheeler and Morse Transmission Coefficients

Rana

Majekodunmi

Jain

et al. 2022

Intelligent Systems

View full text Add to dashboard Cite

Semiclassical and microscopic calculations of the spin-orbit density part of the Skyrme nucleus-nucleus interaction potential with temperature effects included

Cited by 55 publications

References 40 publications

Effect of deformation and orientation on spin orbit density dependent nuclear potential

Effect of deformation and orientation on spin orbit density dependent nuclear potential

Comparative study of fusion barriers using Skyrme interactions and the energy density functional

Relativistic Mean-Field Treatment to the Fusion Cross-Section of the Reaction $$^{12}$$C + $$^{20}$$Ne Using Hill–Wheeler and Morse Transmission Coefficients

Contact Info

Product

Resources

About