The elastic scattering data of
12
C +
90
,
91
,
92
,
94
,
96
Zr at 66 MeV and
13
C +
90
,
91
,
92
,
94
,
96
Zr at 64 MeV are reanalyzed within the framework of the optical model (OM) using ...phenomenological Woods–Saxon (WS) potential and microscopic double folding potentials. The microscopic potentials employed in the study are the velocity-dependent S
a
~
o Paulo Potential version 2 (SPP2), the Brazilian nuclear potential (BNP), and the density-dependent Michigan-3-Yukawa (CDM3Y6) potential. Both the real and imaginary parts of the microscopic potentials are constructed from the folding model. Comparative studies are performed for the real and imaginary potentials using the phenomenological and microscopic forms. The sensitivity of the elastic scattering cross sections to the three different folding potentials is tested and compared with the results obtained using the phenomenological WS potential. The analysis revealed that the results obtained with the SPP2 and BNP potentials fit the data well with renormalization factors
N
R
= 1 and
N
I
= 0.78 to 0.9 for the real and imaginary parts, respectively. Additionally, the CDM3Y6 potential required renormalization factors
N
R
= 0.6 to 0.8 and
N
I
= 0.4 to 0.8 to fit the
12
C elastic scattering data, and renormalization factors
N
R
= 0.7 to 1 and
N
I
= 0.4 to 0.8 to fit the
13
C elastic scattering data. A notable finding from the present study is that the SPP2 potential successfully describes the
12
,
13
C +
90
,
91
,
92
,
94
,
96
Zr system better than the previous calculations using the first version of SPP. Overall, all the calculated results agree reasonably well with the experimental data.
Over the past two decades high energy-resolution inelastic proton scattering studies were used to gain an understanding of the origin of fine structure observed in the isoscalar giant quadrupole ...resonance (ISGQR) and the isovector giant dipole resonance (IVGDR). Recently, the isoscalar giant monopole resonance (ISGMR) in \(^{58}\)Ni, \(^{90}\)Zr, \(^{120}\)Sn and \(^{208}\)Pb was studied at the iThemba Laboratory for Accelerator Based Sciences (iThemba LABS) by means of inelastic \(\alpha\)-particle scattering at very forward scattering angles (including \(0\circ\)). The good energy resolution of the measurement revealed significant fine structure of the ISGMR.~To extract scales by means of wavelet analysis characterizing the observed fine structure of the ISGMR in order to investigate the role of different mechanisms contributing to its decay width. Characteristic energy scales are extracted from the fine structure using continuous wavelet transforms. The experimental energy scales are compared to different theoretical approaches performed in the framework of quasiparticle random phase approximation (QRPA) and beyond-QRPA including complex configurations using both non-relativistic and relativistic density functional theory. All models highlight the role of Landau fragmentation for the damping of the ISGMR especially in the medium-mass region. Models which include the coupling between one particle-one hole (1p-1h) and two particle-two hole (2p-2h) configurations modify the strength distributions and wavelet scales indicating the importance of the spreading width. The effect becomes more pronounced with increasing mass number. Wavelet scales remain a sensitive measure of the interplay between Landau fragmentation and the spreading width in the description of the fine structure of giant resonances.
Inelastic \(\alpha\)-particle scattering at energies of a few hundred MeV and very-forward scattering angles including \(0^\circ\) has been established as a tool for the study of the isoscalar giant ...monopole (IS0) strength distributions in nuclei. An independent investigation of the IS0 strength in nuclei across a wide mass range was performed using the \(0^\circ\) facility at iThemba Laboratory for Accelerator Based Sciences (iThemba LABS), South Africa, to understand differences observed between IS0 strength distributions in previous experiments performed at the Texas A\&M University (TAMU) Cyclotron Institute, USA and the Research Center for Nuclear Physics (RCNP), Japan. The isoscalar giant monopole resonance (ISGMR) was excited in \(^{58}\)Ni, \(^{90}\)Zr, \(^{120}\)Sn and \(^{208}\)Pb using \(\alpha\)-particle inelastic scattering with \(196\) MeV \(\alpha\) beam and scattering angles \(\theta_{\text{Lab}} = 0^\circ\) and \(4^\circ\). The K\(600\) magnetic spectrometer at iThemba LABS was used to detect and momentum analyze the inelastically scattered \(\alpha\) particles. The IS0 strength distributions in the nuclei studied were deduced with the difference-of-spectra (DoS) technique including a correction factor for the \(4^\circ\) data based on the decomposition of \(L > 0\) cross sections in previous experiments. IS0 strength distributions for \(^{58}\)Ni, \(^{90}\)Zr, \(^{120}\)Sn and \(^{208}\)Pb are extracted in the excitation-energy region \(E_{\rm x} = 9 - 25\) MeV.Using correction factors extracted from the RCNP experiments, there is a fair agreement with their published IS0 results. Good agreement for IS0 strength in \(^{58}\)Ni is also obtained with correction factors deduced from the TAMU results, while marked differences are found for \(^{90}\)Zr and \(^{208}\)Pb.
Background: In highly deformed nuclei, there is a noticeable coupling of the Isoscalar Giant Monopole Resonance (ISGMR) and the \(K = 0\) component of the Isoscalar Giant Quadrupole Resonance ...(ISGQR), which results in a double peak structure of the isoscalar monopole (IS0) strength (a narrow low-energy deformation-induced peak and a main broad ISGMR part). The energy of the narrow low-lying IS0 peak is sensitive to both the incompressibility modulus \(K_\infty\) and the coupling between IS0 and isoscalar quadrupole (IS2) strength. Objective: This study aims to investigate the two-peaked structure of the ISGMR in the prolate \(^{24}\)Mg and oblate \(^{28}\)Si nuclei and identify among a variety of energy density functionals based on Skyrme parameterisations the one which best describes the experimental data. This will allow for conclusions regarding the nuclear incompressibility. Because of the strong IS0/IS2 coupling, the deformation splitting of the ISGQR will also be analysed. Methods: The ISGMR was excited in \(^{24}\)Mg and \(^{28}\)Si using \(\alpha\)-particle inelastic scattering measurements acquired with an \(E_\alpha = 196\) MeV beam at scattering angles \(\theta_{\text{Lab}} = 0^\circ\) and \(4^\circ\). The K\(600\) magnetic spectrometer at iThemba LABS was used to detect and momentum analyse the inelastically scattered \(\alpha\) particles. An experimental energy resolution of \(\approx 70\) keV (FWHM) was attained, revealing fine structure in the excitation-energy region of the ISGMR. The IS0 strength distributions in the nuclei studied were obtained with the Difference-of-Spectrum (DoS) technique. The theoretical comparison is based on the quasiparticle random-phase approximation (QRPA) with a representative set of Skyrme forces.
Two recent studies of the evolution of the isoscalar giant monopole resonance (ISGMR) within the calcium isotope chain report conflicting results. One study suggests that the monopole resonance ...energy, and thus the incompressibility of the nucleus \(K_{A}\) increase with mass, which implies that \(K_{\tau}\), the asymmetry term in the nuclear incompressibility, has a positive value. The other study reports a weak decreasing trend of the energy moments, resulting in a generally accepted negative value for \(K_{\tau}\). An independent measurement of the central region of the ISGMR in the Ca isotope chain is provided to gain a better understanding of the origin of possible systematic trends. Inelastically scattered \(\alpha\) particles from a range of calcium targets (\(\mathrm{^{40,42,44,48}Ca}\)), observed at small scattering angles including 0\(^\circ\), were momentum analyzed in the K600 magnetic spectrometer at iThemba LABS, South Africa. Monopole strengths spanning an excitation-energy range between 9.5 and 25.5 MeV were obtained using the difference-of-spectra (DoS) technique. The structure of the \(E0\) strength distributions of \(^{40,42,44}\)Ca agrees well with the results from the previous measurement that supports a weak decreasing trend of the energy moments, while no two datasets agree in the case of \(^{48}\)Ca. Despite the variation in the structural character of \(E0\) strength distribution from different studies, we find for all datasets that the moment ratios, calculated from the ISGMR strength in the excitation-energy range that defines the main resonance region, display at best only a weak systematic sensitivity to a mass increase. Different trends observed in the nuclear incompressibility are caused by contributions to the \(E0\) strength outside of the main resonance region, and in particular for high excitation energies.
Experiments investigating the fine structure of the IsoScalar Giant Monopole Resonance (ISGMR) of 48Ca were carried out with a 200 MeV alpha inelastic-scattering reaction, using the high ...energy-resolution capability and the zero-degree setup at the K600 magnetic spectrometer of iThemba LABS, Cape Town, South Africa. Considerable fine structure is observed in the energy region of the ISGMR. Characteristic energy scales are extracted from the experimental data by means of a wavelet analysis and compared with the state-of-the-art theoretical calculations within a Skyrme-RPA (random phase approximation) approach using the finite-rank separable approximation with the inclusion of phonon-phonon coupling (PPC). Good agreement was observed between the experimental data and the theoretical predictions.
