On the Coulomb interaction between spherical and deformed nuclei

Ismail, M.; Seif, W. M.; El-Gebaly, H.

doi:10.1016/s0370-2693(03)00600-2

Cited by 50 publications

(40 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The choice of this interaction in the current study, in addition to the SLy4 force, is due to its success in describing the different nuclear structure properties, the α-decay half-lives, and different nuclear reactions in various studies [42][43][44][45][46]. Like the nuclear potential, the Coulomb potential will be calculated microscopically within the folding model [47]. The centrifugal contribution is usually used in its Langer modified form, V (r) = ( + 1/2) 2h2 /2μr 2 [21], in terms of the orbital angular momentum carried by the α particle.…”

Section: Theorectical Backgroundmentioning

confidence: 99%

See 1 more Smart Citation

Isospin asymmetry dependence of theαspectroscopic factor for heavy nuclei

2011

View full text Add to dashboard Cite

Both the valence nucleons (holes) and the isospin asymmetry dependencies of the preformation probability of an α-cluster inside parents radioactive nuclei are investigated. The calculations are employed in the framework of the density-dependent cluster model of an α-decay process for the even-even spherical parents nuclei with protons number around the closed shell Z 0 = 82 and neutrons number around the closed shells Z 0 = 82 and Z 0 = 126. The microscopic α-daughter nuclear interaction potential is calculated in the framework of the Hamiltonian energy density approach based on the SLy4 Skyrme-like effective interaction. Also, the calculations based on the realistic effective M3Y-Paris nucleon-nucleon force have been used to confirm the results. The calculations then proceed to find the assault frequency and the α penetration probability within the WKB approximation. The half-lives of the different mentioned α decays are then determined and have been used in turn to find the α spectroscopic factor. We found that the spectroscopic factor increases with increasing the isospin asymmetry of the parent nuclei if they have valence protons and neutrons. When the parent nuclei have neutron or proton holes in addition to the valence protons or neutrons, then the spectroscopic factor is found to decrease with increasing isospin asymmetry. The obtained results show also that the deduced spectroscopic factors follow individual linear behaviors as a function of the multiplication of the valence proton (N p ) and neutron (N n ) numbers. These linear dependencies are correlated with the closed shells core (Z 0 , N 0 ). The same individual linear behaviors are obtained as a function of the multiplication of N p N n and the isospin asymmetry parameter, N p N n I . Moreover, the whole deduced spectroscopic factors are found to exhibit a nearly general linear trend with the function N p N n /(Z 0 + N 0 ).

show abstract

Section: Theorectical Backgroundmentioning

confidence: 99%

“…ρ 0 is determined from the normalization condition ρ(r)d r = A d that ensures the volume conservation of the matter distribution. For the folding Coulomb interaction potential, the charge distribution is normalized to the total charge Ze [47].…”

Section: Theorectical Backgroundmentioning

confidence: 99%

Isospin asymmetry dependence of theαspectroscopic factor for heavy nuclei

2011

View full text Add to dashboard Cite

show abstract

“…[11] which is based on multipole expansion of two deformed density distributions. This method of calculating the Coulomb potential is more accurate than other methods based on expanding the potential in terms of deformation parameters [31,32]. Figure 6 shows the calculations of the 238 U+ 238 U fusion cross section for the three orientation angles (θ T , θ P ) = (0 • , 0 • ), (90 • , 90 • ), and (0 • , 90 • ) of the symmetry axes of the two interacting nuclei.…”

Section: Numerical Resultsmentioning

confidence: 99%

Orientation dependence of the heavy-ion potential between two deformed nuclei

et al. 2005

Self Cite

View full text Add to dashboard Cite

The deformation and orientation dependence of the real part of the interaction potential is studied for two heavy deformed nuclei using the Hamiltonian energy density approach derived from the well-known Skyrme NN interaction with two parameter sets SIII and SkM * . We studied the real part of the heavy ion (HI) potential for 238 U+ 238 U pair considering quadrupole and hexadecapole deformations in both nuclei and taking into consideration all the possible orientations, coplanar and noncoplanar, of the two interacting nuclei. We found strong orientation dependence for the physically significant region of the HI potential. The orientation dependence increases with adding the hexadecapole deformation. The azimuthal angle dependence is found to be strong for some orientations. This shows that taking the two system axes in one plane produces a large error in calculating the physical quantities.

show abstract

“…Like the nuclear potential, the Coulomb potential will be calculated microscopically within the folding model [66]. V l (r) is the centrifugal contribution to the barrier, V l (r) = l(l + 1)h 2 /2µr 2 , which acts to reduce the tunneling probability if the angular momentum carried by the α particle, l, is nonzero.…”

Section: α Decay and Effective Interaction Potentialmentioning

confidence: 99%

“…ρ 0 can be determined from the normalization condition ρ( r)d r = mass number, which ensures the volume conservation. For the folding Coulomb interaction potential, the charge distributions are normalized to the total charge Ze [66].…”

Section: α Decay and Effective Interaction Potentialmentioning

confidence: 99%

α decay as a probe of nuclear incompressibility

Seif

2006

Phys. Rev. C

View full text Add to dashboard Cite

This study is focused on probing the incompressibility of nuclear matter. Calculations are employed in the framework of the superasymmetric fission model of α decay for 182 radioactive nuclei, including the recently produced isotopes of superheavy elements, to probe nuclear incompressibility and its isospin dependence through the use of an effective density-dependent nucleon-nucleon force. The microscopic α-daughter nuclear interaction potential is calculated by double folding the density distributions of both α and daughter nuclei with a realistic effective density-dependent M3Y force that is modified to consider the effect of incompressibility in the case of total overlapped densities inside the barrier. The microscopic Coulomb potential is calculated by folding the charge density distributions of the two interacting nuclei. The minimum angular momentum transfer required for the spin-parity conservation is considered. The half-lives of the different α decays have been calculated within the WKB approximation. The obtained values for nuclear matter incompressibility range between 205 and 255 MeV for the most studied cases which have an isospin asymmetry range of δ = 0.033 to 0.228. For the same isospin asymmetry, the incompressibility values of the even(N )-even(Z) nuclei are found to be the highest, while those of the odd-odd nuclei are the lowest. The estimated symmetric nuclear matter incompressibility deduced from the results obtained for different asymmetric nuclei is K 0 (δ = 0) = 241.28 MeV.

show abstract

On the Coulomb interaction between spherical and deformed nuclei

Cited by 50 publications

References 16 publications

Isospin asymmetry dependence of theαspectroscopic factor for heavy nuclei

Isospin asymmetry dependence of theαspectroscopic factor for heavy nuclei

Orientation dependence of the heavy-ion potential between two deformed nuclei

α decay as a probe of nuclear incompressibility

Contact Info

Product

Resources

About