Universal functions of nuclear proximity potential for Skyrme nucleus–nucleus interaction in a semiclassical approach

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.

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“…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%

“…Here, R 0i is the half-density nuclear radius at temperature T=0 obtained by fitting the experimental data to respective polynomials in the nuclear mass region A = 4-238 [14,16]. The T-dependence in the Eq.…”

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

confidence: 99%

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

2017

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“…In another study these parameters, R 0i and a i , were extended up to A=238 as [24] R 0i = 0.9543 + 0.0994A i − 9.8851 × 10…”

Section: Density Distributions Of Nucleimentioning

confidence: 99%

“…Density distributions of nuclei, which are calculated by different methods, and parameter sets of Skyrme interactions have influence on calculations of fusion barriers in the energy density formalism. Considering this point, in the present study, we performed a comparative and systematic analysis of fusion barriers using several Skyrme interactions, together with Fermi density distributions including parameters determined by fitting the experimental data [21,24], in the semiclassical energy density formalism.…”

Section: Introductionmentioning

confidence: 99%

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

Ghodsi

Torabi

2015

Phys. Rev. C

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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.

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“…In this contribution, we use within the -summed Wong model, the nuclear proximity potential obtained recently [12] for the Skyrme nucleus-nucleus interaction in the semiclassical ETF approach. Using SEDF, the universal function of proximity potential is obtained as a sum of the parameterized spin-orbit-density-independent and the spin-orbit-density-dependent universal functions (UF's), with different parameters of UF's obtained for different Skyrme forces [12].…”

Section: Introductionmentioning

confidence: 99%

Barrier modification in sub-barrier fusion reaction⁶⁴Ni+¹⁰⁰Mo using Wong formula with Skyrme forces in semiclassical formalism

Kumar¹,

Gupta²

2011

J. Phys.: Conf. Ser.

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Abstract. We obtain the nuclear proximity potential by using semiclassical extended Thomas Fermi (ETF) approach in Skyrme energy density formalism (SEDF), and use it in the extended -summed Wong formula under frozen density approximation. This method has the advantage of allowing the use of different Skyrme forces, giving different barriers. Thus, for a given reaction, we could choose a Skyrme force with proper barrier characteristics, not-requiring extra "barrier lowering" or "barrier narrowing" for a best fit to data. For the 64 Ni+ 100 Mo reaction, the -summed Wong formula, with effects of deformations and orientations of nuclei included, fits the fusion-evaporation cross section data exactly for the force GSkI, requiring additional barrier modifications for forces SIII and SV. However, the same for other similar reactions, like 58,64 Ni+ 58,64 Ni, fit the data best for SIII force. Hence, the barrier modification effects in -summed Wong expression depend on the choice of Skyrme force in semiclassical ETF method. IntroductionThe unexpected behavior of some fusion-evaporation cross sections at energies far below the Coulomb barrier, has challenged the theoretical models to explain the, so called, fusion hindrance phenomenon in true coupled-channels calculations (ccc) for reactions such as 58 Ni+ 58 Ni, 64 Ni+ 64 Ni, and 64 Ni+ 100 Mo [1]. The ccc could, however, be sensitive to the so far unobserved, hence not-included, high-lying states. Misicu and Esbensen [2] were the first who succeeded in describing the above said three reactions in terms of a density-dependent M3Y interaction, modified by adding a repulsive core potential [3]. The repulsive core changes the shape of the inner part of the potential in terms of a thicker barrier (reduced curvaturehω) and shallower pocket. Here, the nuclei are considered spherical in ground-state and the dynamical quadrupole and octupole deformations (β 2 , β 3 ) are included (only β 2 in the case of 58 Ni+ 58 Ni).The dynamical cluster-decay model (DCM) of preformed clusters by Gupta and collaborators [4,5] is found recently [6,7] to have barrier modification effects as the inbuilt property, where "barrier lowering" at sub-barrier energies arise in a natural way in its fitting of the only parameter of model, the neck-length parameter. The difference of actually-calculated barrier from the actually-used barrier height, corresponding to the neck-length parameter for best-fitted fusionevaporation cross section, gives the "barrier lowering" in DCM, whose values are found to increase as the incident energy decreases to sub-barrier energies. Calculations are based on β 2 deformations and orientation θ i -dependent nuclear proximity potential of Blocki et al. [8].

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Universal functions of nuclear proximity potential for Skyrme nucleus–nucleus interaction in a semiclassical approach

Cited by 53 publications

References 23 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

Barrier modification in sub-barrier fusion reaction⁶⁴Ni+¹⁰⁰Mo using Wong formula with Skyrme forces in semiclassical formalism

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Universal functions of nuclear proximity potential for Skyrme nucleus–nucleus interaction in a semiclassical approach

Cited by 53 publications

References 23 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

Barrier modification in sub-barrier fusion reaction64Ni+100Mo using Wong formula with Skyrme forces in semiclassical formalism

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Barrier modification in sub-barrier fusion reaction⁶⁴Ni+¹⁰⁰Mo using Wong formula with Skyrme forces in semiclassical formalism