An explanation for the anomaly problem of diffuseness parameter of the nucleus-nucleus potential in heavy-ion fusion reactions: A possible thermal solution

Gharaei, R.; Hadikhani, A.; Zanganeh, V.

doi:10.1016/j.nuclphysa.2019.06.003

Cited by 2 publications

(6 citation statements)

References 65 publications

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“…( 10), the radius of any elementary particle is mainly a function of its mass. Expectedly, therefore, the larger particle with higher mass has a longer radius similar to report elsewhere [8]. Substitution of ionization energy of hydrogen into Eq.…”

Section: Resultssupporting

confidence: 75%

“…Substitution of ionization energy of hydrogen into Eq. ( 10) however, gave results whose difference from previous results for the proton and neutron are  0.03406 % of the results in the literature [8]. The superscript (C) means that the values were from CODATA recommended values [21].…”

Section: Resultsmentioning

confidence: 78%

“…It has been explained in the literature [8] why the r.m.s. radius of the proton will continue to shorten on the basis of the implication of the experimental procedure, the unusual electronproton scattering (e-p) approach involving particles of opposite charge as against the positron-proton (p-p) scattering approach.…”

Section: Resultsmentioning

confidence: 99%

“…( 6) gives   (7) It is known in the literature [2] that for any element, both hydrogenic and non-hydrogenic elements the equation as follows holds. (8) Where, a x is the Bohr's radius for any atom; for the purpose of emphasis and clarity, Eq. ( 8) gives exactly the same result or value of Bohr's radius for hydrogen if the old Bohr's equation is used.…”

Section:  (5)mentioning

confidence: 99%

“…radii of proton and neutron density distribution, surface diffuseness, and neutron skin thickness. Diffuseness parameter is defined as the fall-off of the nuclear potential in the tail region of the Coulomb barrier [8]. Thus, this research is undertaken to 1) link nuclear property, mass radius of the nucleon to ionization energy of hydrogen via the derivation of appropriate equation and 2) determine the mass-radii of the nucleons and some leptons.…”

Section: Introductionmentioning

confidence: 99%

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A Mathematical Relationship between Hydrogenic Periodic Property and Nuclear Properties in Furtherance of Bohr’s Theory

Udema¹

2022

AJR2P

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Background: Atomic physics and nuclear matter physics are often exclusively studied. However, atomic properties are a direct function of nuclear properties. Establishing a mathematical relationship between nuclear and atomic properties could serve the interest of nuclear and atomic engineers. Nuclear - and atomic-based instrumentation engineering and nuclear medicine (and perhaps atomic medicine) applications could be the benefits. Objectives: The research is undertaken to 1) link nuclear property, the mass-radius of the nucleon, and ionization energy of hydrogen via the derivation of appropriate equation and 2) determine the mass-radii of the nucleons and some leptons. Methods: Theoretical and computational methods. Results and Discussion: As applicable to the previous results in the literature, the larger the mass of the elementary particles, the longer the radii. For the particles investigated, the order of the radius is muon (m-)<proton (p+)< neutron (n)< tauon (t-) corresponding to increasing mass, m-<p+< n<t-. The values of the mass radii were respectively » 0.1240, 1.1012, 1.1027, and 2.0855 fm. Conclusion: Nuclear properties such as the radius of any nucleon (ΓN) can be mathematically linked to atomic properties such as the ionization energy of hydrogen via equation which shows that ΓN is inversely proportional to the ionization energy of hydrogen and directly proportional to the rest-mass of the particle.

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Section: Resultssupporting

confidence: 75%

Section: Resultsmentioning

confidence: 78%

Section: Resultsmentioning

confidence: 99%

Section:  (5)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Mathematical Relationship between Hydrogenic Periodic Property and Nuclear Properties in Furtherance of Bohr’s Theory

Udema¹

2022

AJR2P

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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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An explanation for the anomaly problem of diffuseness parameter of the nucleus-nucleus potential in heavy-ion fusion reactions: A possible thermal solution

Cited by 2 publications

References 65 publications

A Mathematical Relationship between Hydrogenic Periodic Property and Nuclear Properties in Furtherance of Bohr’s Theory

A Mathematical Relationship between Hydrogenic Periodic Property and Nuclear Properties in Furtherance of Bohr’s Theory

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

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