We study within the Faddeev framework the $\overrightarrow{{}^3\mathrm{He}}$$(\overrightarrow{e},e^{\text{'}}p)d$ as well as the $\overrightarrow{{}^3\mathrm{He}}$$(\overrightarrow{e},e^{\text{'}}p)\mathit{pn}$ and $\overrightarrow{{}^3\mathrm{He}}$$(\overrightarrow{e},e^{\text{'}}n)\mathit{pp}$ reactions in order to extract information on the proton and neutron polarization in polarized ${}^3\mathrm{He}$. We achieve clear analytical insight for simplified dynamical assumptions and define conditions for experimental access to important ${}^3\mathrm{He}$ properties. In addition we point to the possibility of measuring the electromagnetic proton form factors in the process $\overrightarrow{{}^3\mathrm{He}}$$(\overrightarrow{e},e^{\text{'}}p)d$ which would test the dynamical picture and put limits on medium corrections of the form factors.

An α folding potential for the ${}^{16}\mathrm{O}+{}^{16}\mathrm{O}$ system is presented based on an α-particle model of the nucleus ${}^{16}\mathrm{O}$. The angular distributions of the ${}^{16}\mathrm{O}+{}^{16}\mathrm{O}$ elastic scattering at incident energies ranging from 75 to 350 MeV have been calculated by using the α folding potential with an imaginary potential of standard Woods-Saxon type. The main features of the measured angular distributions can be satisfactorily described.

An exactly solvable $\mathfrak{sp}(4)$ algebraic approach extends beyond the traditional isospin-conserving nuclear interaction to bring forward effects of isospin symmetry breaking and isospin mixing resulting from a two-body nuclear interaction that includes proton-neutron (pn) and like-particle isovector pairing correlations plus significant isoscalar pn interactions. The model yields an estimate for the extent to which isobaric analog $0^{+}$ states in light and medium-mass nuclei may mix with one another and reveals possible, but still extremely weak, nonanalog $\beta$-decay transitions.

The level structure of the ${}^{95}\mathrm{Nb}$ nucleus has been studied with the $(t,p)$ reaction in ${}^{93}\mathrm{Nb}$ using a tandem Van de Graaff accelerator and a multichannel magnetic spectrograph at an incident beam energy of 12 MeV. Proton spectra are obtained at 12 different angles from $5^{°}$ to ${87.5}^{°}$ at an interval of ${7.5}^{°}$. Measurements of the proton distributions from the ${}^{93}\mathrm{Nb}$$(t,p)$${}^{95}\mathrm{Nb}$ reaction were made for the ground and 54 excited states up to the excitation energy of 3.669 MeV. Absolute differential cross sections for the levels have been measured. The experimental angular distributions are compared with the theoretical distorted-wave Born approximation calculations to determine L values and $J^{\pi }$ values. The level structure of ${}^{95}\mathrm{Nb}$ is compared with previous results.

We studied the reaction ${}^{12}\mathrm{C}$($e,e^{\text{'}}p$) in quasielastic kinematics at momentum transfers between 0.6 and 1.8 (GeV/c)${}^2$ covering the single-particle region. From this the nuclear transparency factors are extracted using two methods. The results are compared to theoretical predictions obtained using a generalization of Glauber theory described in this paper. Furthermore, the momentum distribution in the region of the 1s-state up to momenta of 300 MeV/c is obtained from the data and compared to the correlated basis function theory and the independent-particle shell model.

The Faddeev equation for three-body scattering at arbitrary energies is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial-wave decomposition. In its simplest form, the Faddeev equation for identical bosons, which we are using, is a three-dimensional integral equation in five variables, magnitudes of relative momenta and angles. This equation is solved through Padé summation. Based on a Malfliet-Tjon-type potential, the numerical feasibility and stability of the algorithm for solving the Faddeev equation is demonstrated. Special attention is given to the selection of independent variables and the treatment of three-body breakup singularities with a spline-based method. The elastic differential cross section, semiexclusive $d(N,N^{\text{'}}$) cross sections, and total cross sections of both elastic and breakup processes in the intermediate-energy range up to about 1 GeV are calculated and the convergence of the multiple-scattering series is investigated in every case. In general, a truncation in the first or second order in the two-body t matrix is quite insufficient.

The Coulomb interaction between two protons is included in the calculation of proton-deuteron breakup and of three-body electromagnetic disintegration of ${}^3\mathrm{He}$. The hadron dynamics is based on the purely nucleonic charge-dependent (CD) Bonn potential and its realistic extension, CD Bonn + Δ, to a coupled-channel two-baryon potential, allowing for single virtual Δ-isobar excitation. Calculations are done using integral equations in momentum space. The screening and renormalization approach is employed for including the Coulomb interaction. Convergence of the procedure is found at moderate screening radii. The reliability of the method is demonstrated. The Coulomb effect on breakup observables is seen at all energies in particular kinematic regimes.

We reanalyze the existing ${}^6\mathrm{Li}$ + ${}^{12}\mathrm{C}$ elastic scattering angular distributions for incident energies ranging from a few MeV to 318 MeV within the frame of the optical model. Despite the important breakup effects expected in the scattering of such a fragile projectile, the system is found to display a surprising transparency. Indeed the barrier-wave/internal-wave decomposition of the elastic scattering amplitude reveals that a substantial part of the incident flux that penetrates the nuclear interior reemerges in the elastic channel, and typical refractive effects, like Airy minima, are clearly identified in the angular distributions. Coupled channel calculations performed on ${}^{12}\mathrm{C}$(${}^6\mathrm{Li}$,${}^6\mathrm{Li}\text{'}$)${}^{12}\mathrm{C}$${}^{*}$($J^{\pi }=2^{+},E_x=4.44$ MeV) angular distributions extending through the whole angular range confirm the existence of an important internal-wave contribution in the backward hemisphere. A similar transparency is observed in other systems of this mass region, such as ${}^7\mathrm{Li}$ + ${}^{12}\mathrm{C}$ or ${}^6\mathrm{Li}$ + ${}^{16}\mathrm{O}$. Finally, we examine recent ${}^6\mathrm{He}$ + ${}^{12}\mathrm{C}$ elastic scattering data obtained at 18 MeV by Milin et al. [Nucl. Phys. A730, 285 (2004)] and extending up to ${\theta }_{\mathrm{c.m.}}\simeq {85}^{°}$, and we suggest additional measurements that could ascertain whether some transparency persists in the scattering of this radioactive projectile.

We calculate the properties of the pentaquarks ${\Theta }^{+}$ and ${\Xi }^{--,0}$ in symmetric nuclear matter using the quark-meson coupling model (QMC). The stability of the ${\Theta }^{+}$ in the medium with respect to the channel ${\Theta }^{+}\to {\mathit{NK}}^{+}$ is discussed.

We analyze the deuteron bound state through the one pion exchange potential. We pay attention to the short distance peculiar singularity structure of the bound state wave functions in coordinate space and the elimination of short distance ambiguities by selecting the regular solution at the origin. We determine the so far elusive amplitude of the converging exponential solutions at the origin. All bound state deuteron properties can then be uniquely deduced from the deuteron binding energy, the pion-nucleon coupling constant, and pion mass. This generates correlations among deuteron properties. Scattering phase shifts and low energy parameters in the ${}^3{S}_1\text{−}{}^3{D}_1$ channel are constructed by requiring orthogonality of the positive energy states to the deuteron bound state, yielding an energy independent combination of boundary conditions. We also analyze from the viewpoint of short distance boundary conditions the weak binding regime on the light of long distance perturbation theory and discuss the approach to the chiral limit.

We derive practical three-body equations for the equal-time three-body Green's function in matter. Our equations describe both bosons and fermions at finite density and temperature and take into account all possible two-body subprocesses allowed by the underlying Hamiltonian.

In the nuclear $f_{7/2}$ shell, the nucleon-nucleon interaction can be represented by the eight values $E(J)=\langle (f_{7/2}^2){}^J\left|V\right|(f_{7/2}^2){}^J\rangle ,J=0,1,\dots ,7$, where for even J the isospin is 1, and for odd J it is 0. If we set the $T=0$ (odd J) two-body matrix elements to zero (or to a constant), we find several degeneracies that we attempt to explain in this work. We also give more detailed expressions than previously for the energies of the states in question. New methods are used to explain degeneracies that are found in ${}^{45}\mathrm{Ti}$ ($I=25/2^{-}$ and $27/2^{-}$), ${}^{46}\mathrm{V}$ ($I={12}_1^{+}$ and ${13}_1^{+}$, as well as $I={13}_2^{+}$ and ${15}^{+}$), and ${}^{47}\mathrm{V}$ ($I=29/2^{-}$ and $31/2^{-}$).

The (${}^7\mathrm{Li}$,${}^7\mathrm{Be}$) charge-exchange spin-flip reaction was for the first time used to deduce the distribution of the B(M1) reduced matrix elements for the photodisintegration of deuteron from the analogous B(GT) distribution. The obtained distribution is in agreement with recent photodisintegration measurements and effective-field calculations.

Gamma-ray transitions in the extremely neutron-deficient nucleus ${}^{106}\mathrm{Te}$ have been identified for the first time. The experiment utilized the ${}^{54}\mathrm{Fe}$(${}^{54}\mathrm{Fe}$,2n)${}^{106}\mathrm{Te}{}^{*}$ reaction, and the γ-ray transitions from excited states in ${}^{106}\mathrm{Te}$ were selected by use of the recoil-decay-tagging technique. The production cross section was estimated at 25 nb, a new limit for in-beam γ-ray spectroscopy. A ground-state band tentatively extending up to $I^{\pi }={10}^{+}$ is proposed. The systematics of low-lying yrast states in the Te isotopes is discussed within the context of vibrational excitations and residual nucleon-nucleon interactions.

An all-order summation of core-polarization diagrams using the low-momentum nucleon-nucleon interaction $V_{\mathrm{low}-k}$ is presented. The summation is based on the Kirson-Babu-Brown (KBB) induced interaction approach in which the vertex functions are obtained self-consistently by solving a set of nonlinear coupled equations. It is found that the solution of these equations is simplified using $V_{\mathrm{low}-k}$, which is energy independent, and using the Green's functions in the particle-particle and particle-hole channels. We have applied this approach to the sd-shell effective interactions and find that the results we calculated to all orders by using the KBB summation technique are remarkably similar to those of second-order perturbation theory, the average differences being less than 10%.

High-precision cross-section data of the deuteron-proton breakup reaction at 130 MeV are presented for 72 kinematically complete configurations. The data cover a large region of the available phase space, divided into a systematic grid of kinematical variables. They are compared with theoretical predictions, in which the full dynamics of the three-nucleon (3N) system is obtained in three different ways: realistic nucleon-nucleon (NN) potentials are combined with model 3N forces (3NF's) or with an effective 3NF resulting from explicit treatment of the Δ-isobar excitation. Alternatively, the chiral perturbation theory approach is used at the next-to-next-to-leading order with all relevant NN and 3N contributions taken into account. The generated dynamics is then applied to calculate cross-section values by rigorous solution of the 3N Faddeev equations. The comparison of the calculated cross sections with the experimental data shows a clear preference for the predictions in which the 3NF's are included. The majority of the experimental data points are well reproduced by the theoretical predictions. The remaining discrepancies are investigated by inspecting cross sections integrated over certain kinematical variables. The procedure of global comparisons leads to establishing regularities in disagreements between the experimental data and the theoretically predicted values of the cross sections. They indicate deficiencies still present in the assumed models of the 3N system dynamics.

The variable S-matrix approach offers a unique way to extract low-energy threshold parameters for a given NN potential. We extract those parameters for the np system from the NijmII and Reid93 potentials to all partial waves with total angular momentum $j\le 5$, using the generalized effective-range expansion: $({f^{\mathit{sj}}}^{-1}){}_{l,l^{\text{'}}}{k}^l{k}^{l^{\text{'}}}=-({a^{\mathit{sj}}}^{-1}){}_{l,l^{\text{'}}}+\frac{1}{2}(r^{\mathit{sj}}){}_{l,l^{\text{'}}}{k}^2+({v_2}^{\mathit{sj}}){}_{l,l^{\text{'}}}{k}^4+({v_3}^{\mathit{sj}}){}_{l,l^{\text{'}}}{k}^6+({v_4}^{\mathit{sj}}){}_{l,l^{\text{'}}}{k}^8+\dots -i{k}^{l+l^{\text{'}}+1},$ where $f^{\mathit{sj}}=(S^{\mathit{sj}}-1)/(2ik)$ is the scattering amplitude and $S^{\mathit{sj}}$ is the unitary S matrix in coupled-channel space with total spin s and total angular momentum j. Our calculation includes all the relevant contributions of the full amplitude to $\mathcal{O}(k^8)$ in the c.m. momentum. We also discuss the validity of the generalized effective-range expansion in the region of analyticity $k\le m_{\pi }/2$ and its applicability as a stringent test for chiral effective theory.

High-spin states in ${}^{122}\mathrm{Cs}$ have been studied via ${}^{107}\mathrm{Ag}$(${}^{19}\mathrm{F}$, p3n)${}^{122}\mathrm{Cs}$ fusion evaporation reaction at beam energy of 93 MeV. Fifteen new transitions belonging to ${}^{122}\mathrm{Cs}$ have been observed and placed in the level scheme. The level structure of ${}^{122}\mathrm{Cs}$ has been extended up to $E_x\approx 7$ MeV and $J\approx 28\hslash$. We have performed the linear polarization measurements using the Clover detectors to assign the unknown spins and parities of a few bands. We have also observed a few linking transitions between negative and positive parity bands indicating the octupole collectivity in this nucleus. The structure of the various bands are discussed in the frame work of the cranked Hartree-Fock-Bogoliubov model and the microscopic projected Hartree-Fock model calculations.

A study of the $\alpha +$${}^6\mathrm{Li}$, $\alpha +$${}^6\mathrm{Li}$${}^{*}$, $d+$${}^8\mathrm{Be}$ and $p+$${}^9\mathrm{Be}$ decay of ${}^{10}\mathrm{B}$, the $\alpha +$${}^7\mathrm{Li}$, $t+$${}^8\mathrm{Be}$, and $d+$${}^9\mathrm{Be}$ decay of ${}^{11}\mathrm{B}$ and the α+${}^8\mathrm{Li}$ and t+${}^9\mathrm{Be}$ decay of ${}^{12}\mathrm{B}$ has been performed using the ${}^{12}\mathrm{C}$(${}^7\mathrm{Li}$,${}^{10}\mathrm{B}$${}^{*}$)${}^9\mathrm{Be}$, ${}^{16}\mathrm{O}$(${}^7\mathrm{Li}$,${}^{10}\mathrm{B}$${}^{*}$)${}^{13}\mathrm{C}$, ${}^7\mathrm{Li}$(${}^7\mathrm{Li}$,${}^{11}\mathrm{B}$${}^{*}$)t, and ${}^7\mathrm{Li}$(${}^7\mathrm{Li}$,${}^{12}\mathrm{B}$${}^{*}$)d reactions at 58 MeV. The excitation energy of the ${}^{10,11,12}$B${}^{*}$ was determined following the coincident detection of the α+Li and H+Be decay fragments. A study of the relative yields for the decay of a number of excited states in ${}^{10,11,12}$B${}^{*}$ indicates that the α-decay channel dominates in all cases.

Paring correlations in weakly bound nuclei on the edge of the neutron-drip line is studied by use of a three-body model. A density-dependent contact interaction is employed to calculate the ground state of halo nuclei ${}^6\mathrm{He}$ and ${}^{11}\mathrm{Li}$, as well as a skin nucleus ${}^{24}\mathrm{O}$. Dipole excitations in these nuclei are also studied within the same model. We point out that the dineutron-type correlation plays a dominant role in the halo nuclei ${}^6\mathrm{He}$ and ${}^{11}\mathrm{Li}$, having the coupled spin of the two neutrons $S=0$, whereas the correlation similar to the BCS type is important in ${}^{24}\mathrm{O}$. Contributions of the spin $S=1$ and $S=0$ configurations are separately discussed in the low-energy dipole excitations.