Study of the surface energy coefficient used in nuclear proximity potential of the $ \alpha$-nuclei systems from density-dependent nucleon-nucleon interactions

Gharaei, R.; Mohammadi, S.

doi:10.1140/epja/i2019-12804-5

Cited by 10 publications

(6 citation statements)

References 66 publications

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“…Herein, the proximity potential model [55] was applied to calculate the nucleus-nucleus potential. This model is well known for studying nuclear reactions and decays including elastic scattering [61], fusion reaction [62][63][64], proton decay of proton emitter [65], and alpha decay of heavy and super-heavy nuclei [66][67][68]. In 1977, Blocki et al [55] presented the first version of the proximity potentials which is known as 'Proximity 1977 (Prox.…”

Section: The Nucleus-nucleus Potentialmentioning

confidence: 99%

Exploring the fusion hindrance phenomenon: the case of ^32,34S + ⁸⁹Y

Gharaei¹,

Fuji²,

Azadegan³

et al. 2021

Phys. Scr.

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The sub-barrier fusion data of 32,34S + 89Y colliding systems are analyzed using the coupled-channels (CC) calculations, including couplings to the low-lying 2+ and 3− states in reacting nuclei as well as mutual and multi-phonon excitations of these states, based on the proximity potential model. In this scheme, we focus upon the the effect of surface energy coefficient γ and also thermal properties of liquids and hot nuclei on the inner part of the nuclear potential and thus on the fusion cross sections at bombarding energies far below the Coulomb barrier. As expected, our primary calculations using the original proximity potential 1977 show that this model underestimates the measured fusion cross sections at the whole energy region. It is shown that the mentioned physical effects bring significant cross sections enhancements for both reactions. The indications of the fusion hindrance phenomenon in the fusion cross sections at energies far below the Coulomb barrier show up. The observed S factors for the above-mentioned systems develop a maximum at low energies which can also be predicted by the phenomenological extrapolations. Our results within the framework of the modified form of the proximity potential reveal that the calculated fusion cross sections, S factors, and logarithmic slopes for the two systems are in good agreement with the corresponding experimental data even at the lowest energies.

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Section: The Nucleus-nucleus Potentialmentioning

confidence: 99%

Exploring the fusion hindrance phenomenon: the case of ^32,34S + ⁸⁹Y

Gharaei¹,

Fuji²,

Azadegan³

et al. 2021

Phys. Scr.

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“…Isotopic system Z Z Ca+ 48 Ca. It is well known that the addition and/or removal of the neutrons could affect directly the strength of the attractive force.…”

Section: Calculations and Resultsmentioning

confidence: 99%

“…It is well known that the addition and/or removal of the neutrons could affect directly the strength of the attractive force. Under these conditions, one can expect that the increase in N/Z ratio from 40 Ca+ 40 Ca to 48 Ca+ 48 Ca causes the decrease in the fusion barrier height as much as 3.79 MeV.…”

Section: Calculations and Resultsmentioning

confidence: 99%

“…Here, the proximity potential model [34,35] was applied to calculate the nucleus-nucleus potential. It is well known for studying nuclear reactions and decays including elastic scattering [37,38], fusion reaction [3,[39][40][41][42][43][44][45][46][47], proton decay of proton emitter [46,47], and alpha decay of heavy and super-heavy nuclei [48][49][50][51]. In 1977, Blocki et al [34] presented the first version of the proximity potentials which is known as 'Proximity 1977 (Prox.…”

Section: Methodsmentioning

confidence: 99%

“…Recent progress of the experimental techniques enable us to get access to the radioactive neutron-rich (or proton-rich) beams and thus to synthesize new heavy nuclei with neutronrich/-deficient content [23][24][25]. So far, extensive efforts have been made to answer the question: how do the additional/ removal neutrons affect the shape of interaction potential and fusion probabilities for different isotopic systems which include either (or both) proton-rich (for example 48 Ni+ 48 Ni and 34 Ca+ 34 Ca) or neutron-rich (for example 64 Ni+ 64 Ni and 18 O+ 28 Si) colliding nuclei [16,18,20,22]. In those studies, various theoretical approaches have been adopted to calculate the heavy ion-ion potential.…”

Section: Introductionmentioning

confidence: 99%

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Role of nuclear surface tension coefficients in the isotopic dependence of fusion dynamics for neutron-rich colliding nuclei: New parametrization of fusion barriers

Gharaei¹,

Farkhonde²

2020

Phys. Scr.

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A theoretical approach is developed to study systematically the influence of the nuclear surface tension coefficient, γ, of the proximity formalism on the isotopic behavior of the fusion dynamics over a wide range of neutron-rich colliding systems with condition of 1 ≤ N/Z < 1.6 for their compound nuclei. Here six different versions of the surface energy coefficient (γ-PD03, γ-MS67, γ-MS66, γ-MN81-I, γ-MN81-II and γ-MN76) in the calculation of the nuclear potential based on the original proximity potential 1977are employed. It is found that the fusion barrier characteristics and fusion cross sections follow a linear isotopic dependence which is sensitive to the change in the nuclear surface tension between the reacting nuclei. The maximum sensitivity of the data to this technical parameter is obtained for the use of the γ-PD03 version. Further, it is shown that the sensitivity of the isotopic behavior of the fusion cross sections to the coefficient γ increases by decreasing the incident energy. After the calculation of fusion barrier heights and positions using the different versions of proximity potentials, we have searched for their parametrization. Firstly, we present a pocket formula for fusion barriers which is directly dependent on both the coefficient γ and the N/Z ratio of the isotopic systems. Our analysis for the studied isotopic systems reveals that the agreement with the empirical data is improved when we consider the dependence of the analytical parameterized formulas on this coefficient. Further, the fusion cross sections obtained by the present pocket formula are in good agreement with the corresponding experimental data. A comparison with other well known parameterized forms in the context of isotopic studies is also made.

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