Generalized two-state model wave functions are used to fit the cross section ratio $\frac{\sigma \left(0_2^{+}\right)}{\sigma (\mathrm{g}.\mathrm{s}.\mathrm{})}$ for two-nucleon transfer reactions, in particular, ${}_{}{}^{70,72,74}{}_{}{}^{}\mathrm{Ge}$(t,p) and ${}_{}{}^{72,74,76}{}_{}{}^{}\mathrm{Ge}$(p,t). We fit these ratios with just one parameter which is restricted to lie within a narrow range. We also are able to calculate the ground state and $0_2^{+}$ state wave functions for ${}_{}{}^{68}{}_{}{}^{}\mathrm{Ge}$ and ${}_{}{}^{78}{}_{}{}^{}\mathrm{Ge}$.

Effective interacting boson approximation Hamiltonians are used to describe the energy spectra of even-even nuclei for $N=88\mathrm{}$ and $N=90\mathrm{}$ isotones. For each $N$, a single effective interacting boson approximation Hamiltonian reproduced energy levels very well. A unified $E2$ transition operator is searched to reproduce the observed $B\left(E2\right)$ values. The quadrupole moments of the first $2^{+}$ level and the two-proton separation energy in each case are calculated. Satisfactory agreements are obtained.

A simple expression is derived for the two-component particle-hole state densities for nuclei with a specified isospin quantum number. In spite of the lack of a one-to-one correspondence between the particle-hole configurations in different members of the same isospin multiplet, the density of $T=T_z+1\mathrm{}$ states in a nucleus may be simply related to the density of states of this isospin in the neighboring nucleus, where $T$ is the ground state isospin. Thus results similar to those for other types of isospin dependent state densities are obtained, but important differences are also noted.

A recent measurement of the magnitude of quadrupole moment of the ground state of ${}_{}{}^9{}_{}{}^{}\mathrm{Li}$, $Q\left({}_{}{}^9{}_{}{}^{}\mathrm{Li}\right)$, finds that $\left|\frac{Q\left({}_{}{}^9{}_{}{}^{}\mathrm{Li}\right)}{Q\left({}_{}{}^7{}_{}{}^{}\mathrm{Li}\right)}\right|=0.88\mathrm{}\pm 0.18$. A variety of shell-model calculations, using $p$-shell wave functions, predict $Q\left({}_{}{}^9{}_{}{}^{}\mathrm{Li}\right)\simeq 1.3Q\left({}_{}{}^7{}_{}{}^{}\mathrm{Li}\right)$ and yield quadrupole moments whose magnitudes are approximately half the experimental values. Agreement between theory and experiment is improved when effective charges are used, although the results are still not completely satisfactory. A calculation of the wave functions of the low-lying states of ${}_{}{}^7{}_{}{}^{}\mathrm{Li}$ and ${}_{}{}^9{}_{}{}^{}\mathrm{Li}$ using a modified version of the Sussex matrix elements in a model space, including all $0\hslash \omega$ and $2\hslash \omega$ excitations, has been performed. The resulting value for $Q\left({}_{}{}^9{}_{}{}^{}\mathrm{Li}\right)$ was —3.46 ${\mathrm{fm}}^2$ as compared with the experimental value of ±3.22±0.66 ${\mathrm{fm}}^2$. The effective charge used in the calculation, $0.28e$, reproduced the experimental value of $Q\left({}_{}{}^7{}_{}{}^{}\mathrm{Li}\right)$ exactly. The calculated magnetic dipole moment of the ground state of ${}_{}{}^9{}_{}{}^{}\mathrm{Li}$ is $3.32 {\mu }_N$ the experimental value is $\pm 3.44 {\mu }_N$.

Gamma-ray transitions in ${}_{}{}^{52,53}{}_{}{}^{}\mathrm{Cr}$ and ${}_{}{}^{54,55}{}_{}{}^{}\mathrm{Mn}$ have been observed using ${}_{}{}^7{}_{}{}^{}\mathrm{Li}({}_{}{}^{51}{}_{}{}^{}\mathrm{V},x\mathrm{n}y\mathrm{p}z\alpha \gamma )$ fusion-evaporation reactions and $\gamma$-particle coincidence techniques. The experiment involved the same reaction at the same center-of-mass energy as the earlier work of Poletti et al., but with target and projectile interchanged. In the present work, eight additional transitions have been identified as occurring in ${}_{}{}^{52}{}_{}{}^{}\mathrm{Cr}$. This provides corroboration of results obtained more recently via ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}(\alpha ,2\mathrm{}\mathrm{n}\gamma ){}_{}{}^{52}{}_{}{}^{}\mathrm{Cr}$ reaction studies. A simple, efficient approach to the spectroscopy of weakly populated nuclear states which provides for unambiguous isotopic assignments is thus demonstrated.

Polarized $\beta$-emitting ${}_{}{}^{27}{}_{}{}^{}\mathrm{Si}$ nuclei ($I^{\pi }={\frac{5}{2}}^{+}$, $T_{\frac{1}{2}}=4.1\mathrm{}$ s) were produced in the reaction ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}(\overrightarrow{\mathrm{p}},\mathrm{n}){}_{}{}^{27}{}_{}{}^{}\mathrm{Si}$, $E_p=8.5\mathrm{}$ MeV, in a thick single crystal of sapphire (${\mathrm{Al}}_2$${\mathrm{O}}_3$) which also served as host for the implanted ${}_{}{}^{27}{}_{}{}^{}\mathrm{Si}$ nuclei. The polarization transferred to the ${}_{}{}^{27}{}_{}{}^{}\mathrm{Si}$ nuclei was observed by measuring the $\beta$-decay asymmetry parallel to the proton polarization. The ${}_{}{}^{27}{}_{}{}^{}\mathrm{Si}$ polarization was preserved during the nuclear lifetime by a magnetic holding field and by cooling the host crystal. The magnetic dipole moment of ${}_{}{}^{27}{}_{}{}^{}\mathrm{Si}$ measured by a nuclear magnetic resonance technique, is $\left|\mu \mathrm{}\right|=\left[0.8554\right(4\mathrm{}\left)\right]{\mu }_{\mathrm{N}}$. This result includes the diamagnetic shielding correction.

Evidence is given that two-step processes are largely involved in (d,${}_{}{}^6{}_{}{}^{}\mathrm{Li}$) reaction on light deformed nuclei. Coupled reaction channels calculations can reproduce the experimental data in rather good agreement with the theoretical spectroscopic amplitudes.

The vector analyzing powers have been measured for the ${}_{}{}^1{}_{}{}^{}\mathrm{H}(\overrightarrow{\mathrm{d}},\gamma ){}_{}{}^3{}_{}{}^{}\mathrm{He}$ and the ${}_{}{}^2{}_{}{}^{}\mathrm{H}(\overrightarrow{\mathrm{p}},\gamma ){}_{}{}^3{}_{}{}^{}\mathrm{He}$ reactions at $E_x=6\mathrm{}$ MeV. The results indicate the presence of channel spin $\frac{3}{2}$ capture strength. An $M1$ strength amounting to between 1 and 8% of the cross section is able to explain the observations if a significant $s=\frac{3}{2}$ component is included.

The thick-target neutron yield from the ${}_{}{}^{19}{}_{}{}^{}\mathrm{F}(\alpha ,\mathrm{n})$ reaction has been measured in 0.25-MeV steps over the energy range $3.5<~E_{\alpha }<~10.0$ MeV. From these measurements, ${}_{}{}^{22}{}_{}{}^{}\mathrm{Na}$ production cross sections have been deduced. These cross sections are compared with the results of a Hauser-Feshbach calculation and with the results of previous experimental investigations.

Physical meaning of dimensions of the particle emission volume obtained from two-particle interferometry is discussed. Results of various authors are compiled with attention given to the necessity to use a consistent definition of the radius.

We derive an approximate analytical expression for the $S$ matrix in terms of the parameters of the nuclear matter distributions and nucleon-nucleon interaction in the framework of folding model for heavy ion scattering. The numerical calculations carried out for ${}_{}{}^{18}{}_{}{}^{}\mathrm{O}$+${}_{}{}^{58}{}_{}{}^{}\mathrm{Ni}$ scattering ($E_{\mathrm{lab}}=60\mathrm{}$ MeV), a test case, agree well with the corresponding results of the phenomenological optical model.

We study the discrepancy between the measured $0_1^{+}$→$2_1^{+}$ form factor of ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ and the existing theoretical results, and specify a generator-coordinate state that resolves the discrepancy.

A breakup-fusion description is used to calculate continuum spectra of the ${}_{}{}^{165}{}_{}{}^{}\mathrm{Ho}$(h,p) and (h,d) reactions with an incident energy of 100 MeV. It is shown that the high energy part of the observed spectra up to the peak is fitted very well by the calculations, but that the lower energy part is somewhat underestimated. Possible mechanisms that are responsible for the additional lower energy part are discussed.

Neutron spectra from the decay of highly excited states of ${}_{}{}^{92}{}_{}{}^{}\mathrm{Zr}$ and ${}_{}{}^{119}{}_{}{}^{}\mathrm{Sn}$, populated in inelastic $\alpha$ scattering processes at 109 MeV, are analyzed with a model, recently proposed, in which one hypothesizes that the continuum spectrum of inelastically scattered $\alpha$ particles results from a cascade of $\alpha$-nucleon interactions. The satisfactory reproduction of the data further corroborates this hypothesis.

We study the relative importance of the orbital and intrinsic spin contribution in both the diagonal magnetic single-particle matrix elements and in the matrix elements of the fermion magnetic multipole operator for many-body proton and/or neutron wave functions. The latter results shed light on the effective gyromagnetic factors for dipole ($L=1\mathrm{}$) and octupole ($L=3\mathrm{}$) operators, to be used in interacting boson model calculations.

In this paper we show that if a resonant state corresponding to a deformed nuclear system is specified by a well defined orientation of its principal axes then the partial width, which appears in the resonant scattering amplitude, depends on the angle between the direction of the emitted particle and the preferred direction of the resonant state. This effect may be observed in the scattering of actinide nuclei.

The concept of quasispin seniority is discussed within the framework of an approximate treatment for obtaining free energies in the case of nuclear systems described by pseudospin Hamiltonians.

Approximate formulas for multidimensional barrier penetration problems are compared with semiclassical calculations.

Expectation values of the Tucson-Melbourne family of $2\pi$, $\rho \pi$, and $2\rho$ exchange three-body forces and the Lisbon three-body force are obtained with two models of the triton. The triton wave functions used are solutions of the Faddeev equations with $s$-wave potentials. These coordinate space studies examine the effect of short-range pair correlations on the binding energy contribution of the three-body forces. The contribution of the $2\pi$ three-body force is attractive, the $\rho \pi$ three-body force repulsive and much smaller, and the $2\rho$ three-body force negligible in these triton models.