Perturbative Hartree-Fock-Bogoliubov model for many-body pairing correlations

Hagino, K.; Sagawa, H.

doi:10.1103/physrevc.71.044302

Cited by 12 publications

(11 citation statements)

References 22 publications

(42 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The cross section of the evaporation residue (ER) formation is very small: some picobarns, or even some percent of picobarn at the synthesis of the element Z=113. Hagino et al [8] proposed to extract the diffuseness parameter from the backward quasielastic excitation function at deep subbarrier energies and this method has been used to study this subject [8,[18][19][20]. Additionally the neutron enrichment significantly affects the fusion dynamics.…”

Section: Introductionmentioning

confidence: 99%

Studies of heavy ion reactions around Coulomb barrier

Zhang

Jia

et al. 2010

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

Dependence of heavy-ion fusion reaction on nuclear deformation and nuclear shell structure AIP Conf.Abstract. The angular distributions of fission fragments for the 32 S+ 184 W reaction near Coulomb barrier energies were measured. The experimental fission excitation function is obtained. The measured fission cross sections are decomposed into fusion-fission, quasifission and fast fission contributions by the dinuclear system model. The hindrance to complete fusion both at small and large collision energies is explained. The fusion excitation functions of 32 S+ 90,96 Zr in an energy range from above to below Coulomb barrier were measured and analyzed. The obvious effect of positive Q-value neutron transfers has been observed in the 32 S+ 96 Zr system. In addition, the excitation functions of quasielastic scattering at a backward angle have been measured for the systems of 16 O + 208 Pb, 196 Pt, 184 W, and 154,152 Sm at energies well below the Coulomb barrier. Considering the coupling effects, the extracted diffuseness parameters are close to the values extracted from the systematic analysis of elastic and inelastic scattering data.

show abstract

Section: Introductionmentioning

confidence: 99%

Studies of heavy ion reactions around Coulomb barrier

Zhang

Jia

et al. 2010

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

show abstract

“…2) still works well as long as the bulk properties in the ground state, such as the ground-state energy and the root-mean-square (rms) radius, are concerned (see also Ref. 21), in which the HFB and HF+BCS are compared both with discretized continuum). That is, the HF+BCS method can be utilized for at least qualitative discussions, although the special care should be paid when the results of HF+BCS are compared quantitatively with experimental data of radii and quadrupole moments.…”

Section: §1 Introductionmentioning

confidence: 99%

Shape Evolution of C Isotopes in (β, γ) Deformation Plane

Zhang

Sagawa

Yoshino

et al. 2008

Progress of Theoretical Physics

View full text Add to dashboard Cite

We study the shape evolution of C isotopes in the full (β, γ) deformation plane using a constrained Skyrme Hartree-Fock + BCS method in coordinate space. It is shown that the deformation of the energy minimum varies markedly in the (β, γ) plane as a function of mass number, which can be viewed as a clear manifestation of the spontaneous symmetry breaking effect in finite many-body systems. We also study the difference in deformations between protons and neutrons in the total (β, γ) plane. It is found that the proton and neutron quadrupole moments are almost the same in light C isotopes, while the neutron quadrupole moment is about 3 times larger than the proton one in C isotopes heavier than 16 C. The isospin symmetry of the mirror nuclei 10 C and 10 Be is also examined in connection with the deformation in the (β, γ) plane.

show abstract

“…It was observed that a wide range of values from 0.65 a fm  to fm a 5 . 1  of diffuseness parameter are required to describe various nuclear phenomena [5][6][7][8][9][10][11][12]. As the value of diffuseness parameter increases beyond 0.65 a fm  , the potential pocket becomes more and more shallow and disappears for large values and the fusion barrier radius decreases rapidly [6,[13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Relative importance of energy dependent diffuseness parameter and barrier position in the analysis of fusion excitation function data

Kharab

Singh

2014

EPJ Web of Conferences

View full text Add to dashboard Cite

Abstract.We have investigated the relative importance of the energy dependence of diffuseness parameter and barrier position in the description of the fusion excitation function data of some heavy ion systems in near barrier energy region. The effects of the energy dependent diffuseness parameter are found to be much more prominent in comparison to those of barrier position.The sub-barrier heavy ion fusion reactions provide a very good insight into nuclear structure and nuclear interaction [1][2][3][4]. The interaction potential between heavy ions which consists of Coulomb, centrifugal and nuclear terms plays a very crucial role in the description of fusion dynamics because of the fact that the sum of these terms forms the Coulomb barrier which must be overcome for occurrence of fusion. The Coulomb and centrifugal terms are well understood whereas many ambiguities are associated with the nuclear potential. Since the predictions of fusion excitation functions in sub-barrier energy regions are very sensitive to the shape of nuclear potential, the success of any model for fusion depends strongly on the nuclear potential model employed in the analysis. As a result various potential models ranging from the simple phenomenological to realistic microscopic models have been proposed and used to explain the fusion excitation functions data. Generally, the three parametric Woods-Saxon potential remains the most frequently used potential for the description of compound nuclear reactions. Among the three parameters, depth, range and diffuseness parameter, there exist, large ambiguities in the determination of the accurate value of the diffuseness parameter. It was observed that a wide range of values from 0.65 a fm  to fm a 5 . 1  of diffuseness parameter are required to describe various nuclear phenomena [5][6][7][8][9][10][11][12]. As the value of diffuseness parameter increases beyond 0.65 a fm  , the potential pocket becomes more and more shallow and disappears for large values and the fusion barrier radius decreases rapidly [6,[13][14][15]. Very recently, an energy dependent parameterization scheme to determine the value of diffuseness parameter was successfully used to explain the fusion excitation functions of various systems [16]. Since, the barrier position changes with the change in the shape of the potential, the energy dependent potential induces energy dependence in the barrier position also. ____________________________________________ a Corresponding

show abstract

Perturbative Hartree-Fock-Bogoliubov model for many-body pairing correlations

Cited by 12 publications

References 22 publications

Studies of heavy ion reactions around Coulomb barrier

Studies of heavy ion reactions around Coulomb barrier

Shape Evolution of C Isotopes in (β, γ) Deformation Plane

Relative importance of energy dependent diffuseness parameter and barrier position in the analysis of fusion excitation function data

Contact Info

Product

Resources

About