The $g$ factor of the first excited $3^{+}$ state in ${}_{}{}^{122}{}_{}{}^{}\mathrm{Sb}$ at 61 keV was determined by the stroboscopic method. The experimental $g$ factor $g=+0.988\mathrm{}\pm 0.004$ suggests the configuration ${\left[\pi {\left(1\mathrm{}{g}_{\frac{7}{2}}\right)}^1\nu {\left(3\mathrm{}{s}_{\frac{1}{2}}\right)}^1\right]}_{3^{+}}$ for this state. A remeasurement of the half-life yields the improved value $T_{\frac{1}{2}}=1.86\mathrm{}\pm 0.08$ μs.

Energy and angular distributions from ($d, p$) reactions induced by 12-MeV deuterons and ($d, t$) reactions induced by 16-MeV deuterons on ${}_{}{}^{106}{}_{}{}^{}\mathrm{Cd}$ were measured. Neutron $l$-transfer assignments, spin-parity assignments, and spectroscopic strengths were obtained for 25 of the 28 proton groups observed in ${}_{}{}^{106}{}_{}{}^{}\mathrm{Cd}(d, p)$ and for 3 of the 7 triton groups observed in ${}_{}{}^{106}{}_{}{}^{}\mathrm{Cd}(d, t)$. The ground-state $Q$ value of ${}_{}{}^{106}{}_{}{}^{}\mathrm{Cd}(d, t){}_{}{}^{105}{}_{}{}^{}\mathrm{Cd}$ reaction was found to be -4.661 ± 0.05 MeV.

The $\gamma$ decay of excited states in ${}_{}{}^{210}{}_{}{}^{}\mathrm{Bi}$ up to 3250-keV excitation energy has been studied with the ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}(d, p\gamma )$ reaction at 8.0- and 10.0-MeV incident deuteron energies, using particle-$\gamma$ and $\gamma -\gamma$ coincidence techniques and a pulsed deuteron beam. For almost all of the states excited in this reaction, $\gamma$-decay branching ratios were obtained. The branched decay of states with a dominant configuration ($d_{\frac{5}{2}}^{\nu }\otimes h_{\frac{9}{2}}^{\pi }$) into states with a ($g_{\frac{9}{2}}^{\nu }\otimes h_{\frac{9}{2}}^{\pi }$) configuration was analyzed to determine experimentally the amount of configuration mixing between these two multiplets. The obtained mixing amplitudes are in remarkably good agreement with shellmodel calculations. From the observed lifetimes of the ${(g_{\frac{9}{2}}^{\nu }\otimes h_{\frac{9}{2}}^{\pi })}_{5^{-},7^{-}}$ states, a reduced matrix element of $〈g_{\frac{9}{2}}^{\nu }\parallel E2\mathrm{}\parallel g_{\frac{9}{2}}^{\nu }〉=-38\mathrm{}\pm 4 e$ ${\mathrm{fm}}^2$ has been extracted. This value is in good agreement with an intermediate coupling calculation which yields $-35\mathrm{} e$ ${\mathrm{fm}}^2$.

It is shown that the rescattering series for a multichannel process cannot converge only in a part of phase space. Hence recent fits to the quasifree peak in $p-d$ breakup at intermediate energies are fortuitous. We also discuss the case of slowly convergent rescattering series and of general methods of generating convergent effective rescattering series.

Yield curves of the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}({}_{}{}^3{}_{}{}^{}\mathrm{He}, p){}_{}{}^{14}{}_{}{}^{}\mathrm{N}$ reaction were taken at 11 angles from 30 to 169° in the beam energy interval of 7 to 17 MeV. From these data, angular distributions and the total cross section were deduced at 0.2-MeV intervals for 7 to 11 MeV and at four higher energies. The results are compared with recent measurements of the same reaction leading to the first nine excited states of ${}_{}{}^{14}{}_{}{}^{}\mathrm{N}$. Compound-nuclear effects appear to dominate. There is little correlation between excitation functions for the different states. In contradiction to previous suggestions, little evidence is seen for direct processes.

It is shown that Kobe has not proven the absence of rearrangement terms in the Euler-Lagrange equation for maximum-overlap orbitals for realistic (approximate) reaction-operator calculations.

Recently Potzel and Perlow reported that the linewidth obtained in Mössbauer measurements with AuCN and KAu${\mathrm{}\left(\mathrm{CN}\right)\mathrm{}}_2$ absorbers is anomalously narrow-only 80% of the value obtained with Au-metal absorbers or expected from the lifetime measurements by delayed coincidence. In an attempt to resolve this discrepancy, the lifetime has been remeasured with the Au source in two different chemical environments. The resulting half-lives were 1.93±0.03 nsec for Au in Pt metal and 1.98±0.06 nsec for Au in solution, in agreement with previous lifetime measurements and recent Mössbauer measurements with Au-metal absorbers. The anomaly remains unresolved.

The particle-plus-rotor model has been solved for some weakly and moderately deformed odd-$A$ nuclei. Some very characteristic regularities are expected to occur for the high-spin states coming from high-$j$ orbitals, and these depend strongly on the sign of $\beta$. Application to some Au, Hg, and Tl nuclei shows surprising agreement, and indicates oblate shapes for these states in all these nuclei. Under certain conditions, a new coupling scheme is realized where the particle angular momentum, $j$, is quantized along the rotation axis rather than the symmetry axis.

When proper account is taken of the identity of the incident and target nucleons in nucleon-nucleus scattering, exchange processes occur which are ignored in the usual treatments of the optical potential. We have calculated the lowest-order exchange process for scattering from ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ and ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$. We find that it is generally a few percent of the leading term and that it may have significance for studies of two-body correlations in nuclei.

Polarized ${}_{}{}^8{}_{}{}^{}\mathrm{Li}$ nuclei recoiling from the reaction ${}_{}{}^7{}_{}{}^{}\mathrm{Li}(d, p){}_{}{}^8{}_{}{}^{}\mathrm{Li}$ were implanted in Au, Pd, and Pt foils, and the Knight-shifted values of the ${}_{}{}^8{}_{}{}^{}\mathrm{Li}$ magnetic dipole moment in these metals were measured by a resonant depolarization technique. From measurements of the spinlattice relaxation times of ${}_{}{}^8{}_{}{}^{}\mathrm{Li}$ implanted in Au, Pd, and Pt, the Knight shifts of ${}_{}{}^8{}_{}{}^{}\mathrm{Li}$ in these metals were estimated. A corrected value for the magnetic dipole moment of ${}_{}{}^8{}_{}{}^{}\mathrm{Li}$ was found to be $\mu \left({}_{}{}^8{}_{}{}^{}\mathrm{Li}\right)=(1.653\mathrm{}35\pm 0.00035){\mu }_N$. Attempts were also made to measure the quadrupole couplings of ${}_{}{}^8{}_{}{}^{}\mathrm{Li}$ in single crystals of Be and Mg. While the resonance lines could not be distinctly resolved, upper and lower limits have been deduced for $\left|\frac{e^2\mathrm{qQ}}{h}\right|$ in these two metals.

The nuclear reactions ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}({}_{}{}^{12}{}_{}{}^{}\mathrm{C}, \alpha ){}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$ and ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}({}_{}{}^{12}{}_{}{}^{}\mathrm{C}, p){}_{}{}^{23}{}_{}{}^{}\mathrm{Na}$ have been observed from 5-MeV down to 2.45-MeV center-of-mass energy. Angular distributions and energy distributions of the protons and $\alpha$ particles were analyzed to obtain the total cross sections and other nuclear information. The Coulomb and angular momentum barrier penetrability was factored out to elucidate the intermediate resonance structure in the nuclear factor $\tilde{S}$. The observed rise in the nuclear factor at the lowest energies may be interpreted as "absorption under the barrier" as proposed by Michaud and Vogt. The importance of these reactions for the carbon burning era of nucleosynthesis and energy generation in the later evolution of stars is mentioned and reaction rates are estimated for various burning temperatures.

The normalization constants for two-nucleon-transfer reactions are determined by the direct and parametrization methods. The results are compared between themselves and with experiment. Both methods give rise to calculated values which fall short by at least a factor of 3.

A generalized stretching model for the description of the ground band levels in even-even nuclei is developed under the provision that the higher-order cranking corrections and Coriolis-antipairing effects, as well as the corrections due to quadrupole centrifugal stretching, are all effectively included in the stretching term expressible in terms of a "generalized stretching variable" $t$. A basic set of equations is derived by writing the nuclear moment of inertia $\mathcal{I}$ as a function of $t$ as ${\mathcal{I}}_{0}f\left(t\right)\mathrm{}$. It is shown that practically all the successful two- and three-parameter models advanced during the past few years can be obtained from this basic set of equations through appropriate choices for $f\left(t\right)\mathrm{}$. For example, a linear cutoff in the Taylor's expansion for $f\left(t\right)\mathrm{}$ gives the equations of the variable moment-of-inertia model. The interrelationships, and the correspondence of respective parameters, in various models are established. Further, it is shown that, for models in which $f\left(t\right)\mathrm{}$ is also an explicit function of the nuclear spin $I$, the effective moment of inertia for excited states is renormalized from the value ${\mathcal{I}}_{0}f\left(t\right)\mathrm{}$ by an additional spin-dependent term.

Angular distributions for elastic scattering of neutrons by protons were measured with a counter telescope between 71 and 158° (c.m.) for neutron energies of 24.0 and 27.2 MeV. The angular distributions agreed with the distributions predicted by Hopkins and Breit. The measured anisotropies, $\left[\frac{\sigma \left(180\mathrm{}°\right)}{\sigma \left(90\mathrm{}°\right)}\right]-1\mathrm{}$, were 0.135±0.014 and 0.183±0.015 at 24.0 and 27.2 MeV, respectively.

The variational method for calculating energy of quantum fluids, and its applications to the Bose liquid ${}_{}{}^4{}_{}{}^{}\mathrm{He}$, Fermi neutron gas, and liquid ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ are discussed. The correlation functions are parametrized by their healing distance, and can depend on the states occupied by the correlated particles in the model wave function. They are calculated by constrained variation of the lowest-order contributions. The healing distance has a prescribed value in lowest-order calculations, whereas it is sufficiently large in hopefully exact energy calculations. The many-body cluster contributions in Bose fluids are summed with successive approximations of an integral equation due to van Leeuwen et al. A simple diagrammatic cluster expansion is presented for Fermi liquids, and its direct diagrams are summed with the integral equation. The contribution of exchange diagrams is shown to decrease rapidly with the number of exchanges, and their sums are truncated after the energy has converged to within a few percent.

The binding energies of the lowest isospin singlet ($J^{\pi }=1^{+}$) and triplet ($J^{\pi }=0^{+}$) states of ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ are calculated on a multichannel three-body model in which the internal structure of the $\alpha$ particle is approximately represented by a two-state system. The $n-\alpha$ interaction is given by a two-channel $l$-dependent potential that is obtained by fitting low-energy scattering data. The $\mathrm{np}$ interaction is taken to be the Pease-Feshbach potential.

The Faddeev equations are generalized to allow spin and internal structure of the particles and are solved in the separable $t$-matrix approximation for bound-state energies. The results obtained are in good agreement with experiments and the effect of the $\alpha$ internal structure is discussed.

We present distorted-wave Born-approximation calculations of the reaction ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}(p, {\pi }^{+}){}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ at $T_p=185\mathrm{}$ MeV. It is found that the production cross section to specific states in ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ depends very sensitively on the pion-nucleus distorted-wave function.

We examine the Gartenhaus and Schwartz (G-S) transformation, which generates a translationally invariant wave function from one which does not possess this property. A clarification of the G-S procedure for the calculation of matrix elements is achieved if one takes two independent limits of the parameters $\Lambda$, ${\Lambda }^{\prime }$ which appear in the expression for a transformed operator ${\overrightarrow{\mathfrak{a}}}^{\prime }=\left({\lim }_{{\Lambda }^{\prime }\to \infty }{U}_{{\Lambda }^{\prime }}^{†}\right)\overrightarrow{\mathfrak{a}}\left({\lim }_{\Lambda \to \infty }{U}_{\Lambda }\right)$. It is shown that the G-S operator, $U={\lim }_{\Lambda \to \infty }{U}_{\Lambda }={\lim }_{\Lambda \to \infty }\exp [-\frac{1}{2}i\Lambda (\overrightarrow{\mathcal{R}}·\overrightarrow{\mathcal{P}}+\overrightarrow{\mathcal{P}}·\overrightarrow{\mathcal{R}}\left)\right]$, is equivalent to the operator $U={\left(2\mathrm{}\pi \right)}^3\delta \left(\overrightarrow{\mathcal{P}}\right)\delta \left(\overrightarrow{\mathcal{R}}\right)$. This operator is seen to be a specific example of the more general class of operators presented earlier.

Exchange effects are examined for nuclear parity-violating experiments which use photons as detectors. The weak coupling to vector (or axial-vector) mesons which decay to $\pi \gamma$ are treated in detail. The effect is found to be small (≲${10}^{-9\mathrm{}}$) unless the existence of a recent $\pi \gamma$ resonance observed at 270 MeV is confirmed.

A method for describing the motion of many-body systems that interact solely through two-body forces is introduced. The general form of the Hamiltonian is found, and applied to the case of particles interacting through Hooke's law forces. The general form of the wave function is exhibited and the means of antisymmetrization discussed. It is shown that the kinetic energy of the center of mass can be separated from the Hamiltonian by transforming to a new set of external (pair c.m.) coordinates. A particular approximation to the system boundary conditions is applied to light nuclei, and some of the implications of the use of current nucleon-nucleon forces discussed.