Coherent deeply virtual Compton scattering off the ${}^4\mathrm{He}$ nucleus is studied in impulse approximation. A convolution formula for the nuclear generalized parton distribution (GPD) is derived in terms of the ${}^4\mathrm{He}$ one-body nondiagonal spectral function and of the GPD of the struck nucleon. A model of the nuclear nondiagonal spectral function, based on the momentum distribution corresponding to the Argonne 18 nucleon-nucleon interaction, is used in the actual calculation. Typical impulse approximation results are reproduced, in proper limits, for the nuclear form factor and for nuclear parton distributions. The nuclear generalized parton distribution and the Compton form factor are evaluated using, as a nucleonic ingredient, a well-known generalized parton distribution model. An overall very good agreement is found with the data recently published by the EG6 experiment at the Jefferson Laboratory (JLab). More refined nuclear calculations are addressed and will be necessary for the expected improved accuracy of the next generation of experiments at JLab with the 12-GeV electron beam and high luminosity.

Selected (anti)neutrino-induced reactions on ${}^2\mathrm{H}, {}^3\mathrm{He}$, and ${}^3\mathrm{H}$ are studied consistently in momentum space for (anti)neutrino energies up to 250 MeV. For most of these processes we provide predictions for the total cross sections, and in the case of the (anti)neutrino-${}^3\mathrm{He}$ and (anti)neutrino-${}^3\mathrm{H}$ inelastic scattering we compute examples of essential response functions, using the AV18 nucleon-nucleon potential and a single-nucleon weak current operator. For the reactions with the deuteron we comment on relativistic effects in the final-state kinematics and compare two-nucleon scattering states obtained in momentum and coordinate spaces. Our results from momentum space are compared with the theoretical predictions by G. Shen et al. [Phys. Rev. C 86, 035503 (2012)]. The observed disagreement can be attributed to the differences in kinematics and in the weak current operator.

Angle-integrated cross sections and forward/backward ratios for the reaction ${}^{18}\mathrm{O}({}^3\mathrm{He},p){}^{20}\mathrm{F}$ have been combined with existing information in order to classify ${}^{20}\mathrm{F}$ states up to 4.4 MeV excitation. Experimental counterparts are now known for all 13 ${\left(sd\right)}^4$ shell-model states in this region.

Lifetimes of $2_1^{+}$ and $4_1^{+}$ states in ${}^{190,192,194,196}\mathrm{Hg}$ and of some negative parity band members were measured using the $\gamma -\gamma$ fast-timing technique with a high-purity germanium and ${\mathrm{LaBr}}_3$(Ce) detector array. The excited states were populated via fusion-evaporation reactions using the Tandem Van de Graaff accelerator of the Institute of Nuclear Physics in Cologne, Germany. The derived reduced transition probabilities of the $2_1^{+}\to 0_1^{+}$ and $4_1^{+}\to 2_1^{+}$ transitions are discussed in the framework of the interacting boson approximation with two models using configuration mixing: a phenomenological one and a microscopical one. Both models describe the observed quantities of the nuclei within the experimental uncertainties.

The neutron emission in coincidence with the fragments have been investigated for the ${}^{48}\mathrm{Ti}+{}^{208}\mathrm{Pb}$ reaction populating the near superheavy compound nucleus ${}^{256}\mathrm{Rf}$ at an excitation energy of 57.4 MeV. The National Array of Neutron Detectors facility is used for a precise determination of the prescission ($M_n^{\mathrm{pre}}$) and postscission ($M_n^{\mathrm{post}}$) neutron multiplicities as a function of fission observables. A moving source fitting procedure has been adopted to deduce $M_n^{\mathrm{pre}}$ and $M_n^{\mathrm{post}}$. The variation of $M_n^{\mathrm{pre}}$ with the mass-split and total kinetic energy (TKE) of the fission fragments have been studied to understand the fission dynamics of ${}^{256}\mathrm{Rf}$. It is observed that $M_n^{\mathrm{pre}}$ increases from the value of 1.66 $\pm$ 0.07 to 2.23 $\pm$ 0.07 with transition from the asymmetric to the symmetric mass region. $M_n^{\mathrm{pre}}$ is also found to increase with the decrease in TKE, which is probably due to the neutron emission during the acceleration time of the fission fragments in this heavy system. The experimental results for neutron multiplicity have also been compared with the theoretical predictions from the statistical model calculations. From this comparison, the value of reduced dissipation strength for the ${}^{256}\mathrm{Rf}$ nucleus is found to be (13.0 $\pm$ 1.0) $\times {10}^{21} {\mathrm{s}}^{-1}$ and a fission delay time of (${67.3}_{-3.9}^{+5.3}$) $\times {10}^{-21}$ s has also been estimated. For the spontaneous fission of ${}^{256}\mathrm{Rf}$, the extracted average neutron multiplicity $M_n^{sf}$ is found to be 4.4 $\pm$ 1.0 which is in good agreement with the recently reported value for the ${}^{258,260}\mathrm{Rf}$ isotopes.

The modifications of the masses of the $B$ and $\overline{B}$ mesons in asymmetric nuclear matter in the presence of strong magnetic fields are investigated using a chiral effective model. The medium modifications of these open bottom mesons arise due to their interactions with the scalar mesons and the nucleons. In the magnetized nuclear matter, the proton has contributions from the Landau levels. In the chiral effective model, the masses of the $B$ and $\overline{B}$ mesons are calculated from the leading term, namely the vectorial Weinberg-Tomozawa term as well as from the next-to-leading-order contributions, i.e., due to the scalar exchange and the range terms. Due to the Weinberg-Tomozawa term, the $\overline{B}$ mesons experience an attractive interaction in the symmetric nuclear matter, whereas the $B$ mesons have a repulsive interaction. Inclusion of the contributions from the scalar exchange and the range terms as well leads to drop of the masses of both $B$ and $\overline{B}$ mesons. The effect of the isospin asymmetry breaks the mass degeneracy of the $B^{+}$ and $B^0$ (as well as of the $B^{-}$ and $\overline{B^0}$) mesons, and its effect is observed to be large at high densities. The effects of anomalous magnetic moments of the nucleons are taken into account in the present study of the masses of the open bottom mesons in magnetized nuclear matter.

Gamow-Teller (GT) transitions from high-spin isomers are studied using the sum-rule approach and the shell model. The GT transition strengths from the high-spin isomeric states show a stronger collectivity than those from the ground states in two $N=Z$ nuclei ${}^{52}\mathrm{Fe}$ and ${}^{94}\mathrm{Ag}$. It is argued that the spin-up and spin-down Fermi spheres involved in the GT transitions from the high-spin isomeric states play important roles. These Fermi spheres are analogous to the isospin-up and isospin-down Fermi spheres for the GT transitions from the ground states in $N>Z$ nuclei and create a strong collectivity.

In this paper, the $\gamma$-unstable Bohr Hamiltonian is studied in the presence of an extended sextic potential. It is expected that in this situation, we reach some degenerate levels in the energy spectrum, but we are interested in a case in which there is no degeneracy between those levels. This goal can be achieved by including the effects of an interaction made by the Casimir operator of SO(3). When this term is involved in the $\gamma$-unstable Bohr Hamiltonian, the degeneracy will be removed. According to the new scheme of energy levels, after the elimination of degeneracy, some low-lying excited levels are introduced. Then we examine the results by reproducing the experimental data of some isotopes for energy levels and $E2$ electromagnetic transitions.

In the present work, the experimental studies of projectile break-up (incomplete fusion) at energies $\approx 4$–7 MeV/nucleon have been performed by using offline $\gamma$-ray spectroscopy. The excitation functions of reaction residues populated in the ${}^{19}\mathrm{F}+{}^{175}\mathrm{Lu}$ system via complete fusion and/or incomplete fusion processes were measured and analyzed within the framework of the statistical model code pace4. The measured excitation functions of $xn$ and $pxn$ channels are found to be well reproduced by the predictions of pace4, which clearly indicates the population of these residues, predominantly, via complete fusion processes. However, in the case of residues involving $\alpha$ particles in the exit channels, the experimentally measured cross sections are found to show a significant enhancement when compared with pace4 predictions. This enhancement points toward the onset of incomplete fusion reactions at the studied range of energies and is found to be projectile energy dependent. Further, an attempt was made to study the influence of projectile (strongly bound) break-up on fusion cross sections, above the Coulomb barrier, within the framework of the universal fusion function, which is a benchmark function that does not depend on the system parameters. The experimental fusion function was deduced for the complete fusion (CF) cross section $\left(\sum {\sigma }_{\text{CF}}=\sum {\sigma }_{xn+pxn}^{\text{expt}}\right)$ and total fusion (TF) cross section $\left(\sum {\sigma }_{\text{TF}}=\sum {\sigma }_{\text{CF}\text{+}\text{ICF}}^{\text{expt}}\right)$ for three strongly bound projectiles ${}^{13}\mathrm{C},{}^{16}\mathrm{O}$, and ${}^{19}\mathrm{F}$ (present work) on different target nuclei and compared with the universal fusion function. Analysis of data indicates 10–$35\%$ complete fusion suppression above the barrier, indicating that it is essentially due to the prompt break-up (incomplete fusion) of the strongly bound projectiles. Moreover, the deduced complete fusion suppression factor for the present work shows a conspicuous exponential relation with the break-up threshold of the projectile.

The transitional nucleus ${}^{131}\mathrm{Xe}$ is investigated after multinucleon transfer in the ${}^{136}\mathrm{Xe}+{}^{208}\mathrm{Pb}$ and ${}^{136}\mathrm{Xe}+{}^{238}\mathrm{U}$ reactions employing the high-resolution Advanced $\gamma$-Tracking Array (AGATA) coupled to the magnetic spectrometer PRISMA at the Laboratori Nazionali di Legnaro, Italy, and as an elusive reaction product in the fusion-evaporation reaction ${}^{124}\mathrm{Sn}({}^{11}\mathrm{B},p3n){}^{131}\mathrm{Xe}$ employing the High-efficiency Observatory for $\gamma$-Ray Unique Spectroscopy (HORUS) $\gamma$-ray array coupled to a double-sided silicon strip detector at the University of Cologne, Germany. The level scheme of ${}^{131}\mathrm{Xe}$ is extended to 5 MeV. A pronounced backbending is observed at $\hslash \omega \approx 0.4\mathrm{MeV}$ along the negative-parity one-quasiparticle $\nu h_{11/2}(\alpha =-1/2)$ band. The results are compared to the high-spin systematics of the $Z=54$ isotopes and the $N=77$ isotones. Large-scale shell-model calculations employing the PQM130, SN100PN, GCN50:82, SN100-KTH, and a realistic effective interaction reproduce the experimental findings and provide guidance to elucidate the structure of the high-spin states. Further calculations in ${}^{129-132}\mathrm{Xe}$ provide insight into the changing nuclear structure along the Xe chain towards the $N=82$ shell closure. Proton occupancy in the $\pi 0h_{11/2}$ orbital is found to be decisive for the description of the observed backbending phenomenon.

We analyze the localization properties of two-body correlations induced by pairing in the framework of relativistic mean field (RMF) models. The spatial properties of two-body correlations are studied for the pairing tensor in coordinate space and for the Cooper pair wave function. The calculations are performed both with relativistic Hartree-Bogoliubov (RHB) and RMF + projected-BCS (PBCS) models and taking as examples the nuclei ${}^{66}\mathrm{Ni}$, ${}^{124}\mathrm{Sn}$, and ${}^{200}\mathrm{Pb}$. It is shown that the coherence length has the same pattern as in previous nonrelativistic HFB calculations, i.e., it is maximum in the interior of the nucleus and drops to a minimum in the surface region. In the framework of RMF+PBCS we have also analyzed, for the particular case of ${}^{120}\mathrm{Sn}$, the dependence of the coherence length on the intensity of the pairing force. This analysis shows that (a) pairing is reducing the coherent length by about 25–$30\%$ compared to the RMF limit and (b) after the onset of pairing correlations, the coherent length depends only weakly on the strength of the pairing force.

The amount of axial charge produced in heavy ion collisions is one of the key quantities in understanding chiral magnetic effect. Current phenomenological studies assume large axial charge chemical potential ${\mu }_5$ produced in Glasma phase and assume the conservation of axial charge throughout the evolution, which is valid in the long relaxation time limit. Based on the solution of stochastic hydrodynamics with phenomenological parameters, our study suggests that the situation of heavy ion collisions may be close to the opposite limit, in which axial charge fluctuation approaches thermodynamic limit. Using ${\mu }_5$ set by the thermodynamic limit for chiral magnetic effect and a background from parity-even $v_1$, we obtain a reasonable description of the centrality dependence of charged particle correlation measured in experiment.

Charge fluctuations for a baryon-neutral quark-gluon plasma have been calculated in lattice gauge theory. These fluctuations provide a well-posed rigorous representation of the quark chemistry of the vacuum for temperatures above $T_c\gtrsim 155\mathrm{MeV}$. Due to the finite lifetime and spatial extent of the fireball created in relativistic heavy ion collisions, charge-charge correlations can only equilibrate for small volumes due to the finite time required to transport charge. This constraint leads to charge correlations at finite relative position that evolve with time. The source and evolution of such correlations is determined by the evolution of the charge fluctuation and the diffusion constant for light quarks. Here, calculations are presented for the evolution of such correlations superimposed onto hydrodynamic simulations. Results are similar to preliminary measurements from STAR, but significant discrepancies remain.

The high-spin structure of ${}^{109}\mathrm{In}$ has been investigated with the ${}^{100}\mathrm{Mo}({}^{14}\mathrm{N}$, $5n){}^{109}\mathrm{In}$ reaction at a beam energy of 78 MeV using the in-beam $\gamma$ spectroscopic method. The level scheme of ${}^{109}\mathrm{In}$ has been modified considerably and extended by 46 new $\gamma$ rays to the highest excited state at 8.980 MeV and $J^{\pi }=(45/2^{+})$. The new level scheme consists of eight bands, six of which are identified as dipole bands. The configurations have been tentatively assigned with the help of the systematics of neighboring odd-$A$ indium isotopes and the experimental aligned angular momenta. The dipole bands are then compared with the titled axis cranking calculation in the framework of covariant density function theory. The results of theoretical calculations based on the configurations, which involve one proton hole at the $g_{9/2}$ orbital and two or four unpaired neutrons at the $g_{7/2}$, $d_{5/2}$, and $h_{11/2}$ orbitals, show that the shape of ${}^{109}\mathrm{In}$ undergoes an evolution on both $\beta$ and $\gamma$ deformations, and possible chirality is suggested in ${}^{109}\mathrm{In}$.

The chirality in rubidium isotopes is investigated for the first time by using adiabatic and configuration-fixed constrained triaxial relativistic mean-field theory. Several minima with the triaxial deformation and proper particle-hole configuration are obtained in ${}^{78,80,82,86}\mathrm{Rb}$ where the chiral doublet bands are possible to appear. Furthermore, the possible existence of multiple chiral doublet ($\mathrm{M}\chi \mathrm{D}$) bands is demonstrated in ${}^{78,80,82}\mathrm{Rb}$. The experimental explorations for the chirality and $\mathrm{M}\chi \mathrm{D}$ in Rb isotopes are expected to verify the predictions.

The nuclear half-life of ${}^{235m}\mathrm{U}$ has been reported to vary depending on the chemical environment. In this study, both the half-life and the internal-conversion (IC) electron energy spectrum were measured for ${}^{235m}\mathrm{U}$ with identical chemical environments for the first time. ${}^{235m}\mathrm{U}$ oxide and fluoride samples were subjected to these measurements, and clear differences in the half-life and the energy spectrum between these samples were observed. The peaks in the energy spectra were identified with a relativistic density functional theory calculation. The molecular orbital states of the ${}^{235m}\mathrm{U}$ oxide and fluoride, which were estimated from the energy spectra and the calculation, qualitatively explained the difference in the half-lives between the samples.

Using experimental information from ${}^{11}\mathrm{Be}$ and a simple potential model, I have computed energies and widths expected for several resonances in ${}^{11}\mathrm{N}$. The conclusion is that two or three expected resonances have never been observed.