International Journal of Modern Physics E

The decay characteristics of various clusters and neutron halo nuclei from heavy elements $Z=92-102$ are studied within the framework of the Coulomb and Proximity Potential Model for Deformed Nuclei (CPPMDN) and using a new empirical formula proposed by us. The predictive power of our formula is verified by comparing the predictions with the available experimental data and with the predictions of other models such as CPPM, Universal Decay Law of Qi et al. (UDL), Unified Description formula (UD) of Ni et al. Using the present formula and CPPMDN, decay half-lives of various light clusters from heavy elements are calculated, and the results are compared with the predictions of UDL, UD, and predictions made by Santhosh et al. based on the Modified Generalized Liquid Drop Model (MGLDM). The decay half-lives of halo nuclei from heavy elements are also calculated using the new formula and CPPMDN and compared with the predictions of UDL, UD, and the predictions made by Santhosh et al. based on the Coulomb and Proximity Potential Model (CPPM).

The systematic search of axial ground state and the emergence of new gaps in neutron-rich ${}^{44-52}$Ar isotopes are the challenging of current calculations of relativistic and nonrelativistic mean field models. For this purpose, we have employed the model based on Relativistic Hartree–Bogoliubov (RHB) with the density-dependent effective interaction of point coupling DD-PCX type. However, the nonrelativistic mean field calculations based on Hartree-Fock model were carried out with Skyrme SV-min parametrization. All the present calculations were performed within axial symmetries. The results provide that most of isotopes show an oblate-deformed ground state. In particular, ${}^{50}$Ar and ${}^{52}$Ar display a spherical shape in their ground states with SV-Min calculations. There is a notable signature of the sub-shell closure at neutron number $N=32$, whereas $N=34$ is expected to be nearly quenched in the spherical ground. Furthermore, coexistence features are predicted in the neutron-rich ${}^{44}$Ar isotope. We have also studied the neutron axial densities and its central depletion in the well-deformed grounds for the first time. In addition to these, the proton single-particle evolution and bubble-like structure at ${}^{46}$Ar are very well reproduced with DD-PCX calculations.

The elastic and inelastic scatterings of deuterons from ${}^{13}$C are registered in a wide range of angles at the laboratory energy of 14.5MeV. Data on the differential cross-sections are treated within both the optical model and coupled-channels method. A new set of optical potential parameters is found. Analyses of the $d{+}^{13}{\mathrm{\text{C}}}^{\ast }$ nuclear reactions are carried out for the levels of excitation 3.089, 8.86 and 9.87MeV. The single particle ${}^{12}\mathrm{\text{C}}+n$, and cluster ${}^9\mathrm{\text{Be}}+\alpha$ models are applied in calculations of differential cross-sections. The calculations show that the state 3.089MeV is populated with the single particle configuration, while the latter bands 8.86MeV and 9.87MeV mainly have the cluster ${}^9\mathrm{\text{Be}}+\alpha$ excitation. The major contribution of the Hoyle state of the core ${}^{12}\mathrm{\text{C}}$ is not observed, but the cluster ${}^9\mathrm{\text{Be}}+\alpha$ configuration is ascertained to be the main contributor to the state 8.86MeV.

In this paper, we present a novel event-shaped cumulants (ESC) response approach, based on a multi-phase transport (AMPT) model simulations, to analyze p-Pb collisions at $\sqrt{s_{NN}}=5.02$ TeV. We find that the Pearson coefficients between the subset cumulants of the final harmonics $v_2\{2k\}(k=1,2,3,4)$ and the subset cumulants of initial eccentricity ${𝜀}_2\{2k\}$ in the ESC basis are significantly enhanced. These Pearson coefficients are strongly-dependent on the charged multiplicity, the set number of events (SNE), and only weakly-dependent on the order of the multi-particle cumulants (two-particles, four-particles, and so on). Our results show that the ESC method can suppress the event-by-event fluctuations.

In this recent work, we present the characteristic of the emission of the black particles ejected with $𝜃$ $<$ $90^{\circ }$ and $𝜃$ $\ge$$90^{\circ }$ i.e., in the forward and backward hemispheres, respectively. For the multiplicity variation study of black particles, we have considered the interaction of ${}^{84}$Kr beam with the CNO, AgBr target present in the nuclear emulsion detector. After doing the analysis of the data, we have found that the emission possibility of black particle is greater in the forward hemisphere (FHS) angle whereas in the backward hemisphere (BHS) angle, it is quite low. Along with this, we have also found that the emission probability of black particles does not posses any relation with projectile mass as well as with the incident energy. In this work, we have also studied the characteristics of shower and et al. particles using a new parameter Q (total charge $Q=\sum Z_{\mathrm{\text{PF}}}$ of the outgoing projectile fragments emitted in forward cone ${𝜃}_c\le 7^{\circ }$, here Z denotes charge, and PF denotes Projectile Fragment) instead of impact parameter to distinguish the different type of collision for two interacting nuclei. The observation from this study suggests that the emission probability of the shower particles as well as gray particles increase as the value of Q decreasing (i.e., as we move from peripheral to central colisions). The results of this work are also compared with the context of other experimental observations and it seems to be relevant.

Inspired by various astrophysical phenomenons, it is suggested that pulsar-like compact stars are comprised entirely of strangeons (quark-clusters with three-light-flavor symmetry) and a small amount of electrons. In order to better constrain the properties of strangeon stars, we propose a linked bag model to describe the condensed matter by the strong interaction (i.e., strong condensed matter) in both 2-flavored (nucleons) and 3-flavored (hyperons, strangeons, etc.) scenarios. The model parameters are calibrated to reproduce the saturation properties of nuclear matter, which are later applied to hyperon matter and strangeon matter. Compared with baryon matter, the derived energy per baryon of strangeon matter is reduced if the strangeon carries a large number of valence quarks, which stiffens the equation of state and consequently increases the maximum mass of strangeon stars. In a large parameter space, the maximum mass and tidal deformability of strangeon stars predicted by the linked bag model are consistent with the current astrophysical constraints. It is found that the maximum mass of strangeon stars can be as large as $\sim 2.5M_{\odot }$, while the tidal deformability of a $1.4M_{\odot }$ strangeon star lies in the range of $180\lesssim {\mathrm{\Lambda }}_{1.4}\lesssim 340$.

In this paper, we study the interaction of neutrinos with nonrelativistic axions. Axions are low-mass neutral bosons whose existence has been proposed long ago by Peccei and Quinn to explain the spontaneous breaking of the CP symmetry in the early Universe. We treat them as pseudoscalar particles, which could be one of the constituents of cold DM. The interactions between axions and neutrinos might be a possible mechanism to explain for nonzero neutrino masses. Here on, we present an analysis which combines the limits for the neutrino masses extracted from the nonobservation of the neutrinoless double beta ($0\nu \beta \beta$) decay with the ones corresponding to the coupling between axions and neutrinos. We begin by defining the neutrino–axion interactions, then we extract the values of both the axion and neutrino masses by taking from the literature representative values of the strength of the couplings and of the matrix elements of the operators participating in the currents.

In this paper, we look for a novel analytical solution of the Conformable Fractional Bohr Hamiltonian in the presence of a four inverse power terms potential in $\beta$-part of the collective nuclear potential. The new expression for the wave functions and energy spectra is obtained using the conformable fractional extended Nikiforov–Uvarov method. The effect of the conformable fractional formulation is studied on root mean square deviation, and normalized fractional eigen energies of ground state band, $\gamma$-band and $\beta$-band of ${}^{192}$Pt, ${}^{194}$Pt and ${}^{196}$Pt atomic nuclei. The $B(E2)$ transition rates are calculated within the fractional domain. We compare our results with the experimental data, the classical Bohr Hamiltonian model with four inverse power terms potential, and other relevant theoretical works. We discuss on how the fractional parameter $\alpha$ acts on the spectra of triaxial nuclei. The results provided by our new approach are found to be in good agreement with the experimental data and improved compared to previous works.

The dependence of decay modes of hot compound nuclei formed in ${}^{86}$Kr$+{}^{134,138}$Ba reactions on the angular momentum has been analyzed using the dynamical cluster-decay model. This has been done by analyzing the change of fragmentation potential, preformation probability, penetrability and cross-section as a function of the fragment mass number at various values of the angular momentum. The evaporation residue cross-section calculated using dynamical cluster-decay model has been compared with the measured one for the channels: $n+\alpha n$, $2n+\alpha 2n$, $np+\alpha np$ for the decay of ${}^{220}$U${}^{\ast }$ and $n+\alpha n+2\alpha n$ for ${}^{224}$U${}^{\ast }$. The summed up fragment cross-sections for the light particles, intermediate mass fragments and fission fragments as a function of angular momentum have been studied which gives an idea for the change of reaction mechanism with angular momentum. The charge distribution of the fission fragment cross-section shows an odd–even staggering, i.e., the probability of even-Z fission fragments is relatively higher than others. The mass distributions obtained within the dynamical cluster-decay model for the decay of ${}^{220,224}$U${}^{\ast }$ are in conformity with mass distributions determined by means of the double kinetic-energy technique in literature. The position of the most probable channel has been found to be fixed to a constant atomic number instead of mass number.