Angular correlations have been measured near several isobaric analog resonances observed in the ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}(p,p^{\prime }\gamma )$ reaction populating the ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}$ $2^{+}$ state at 1.555 MeV. In this manner the limitations on the $J$ values of parent states in ${}_{}{}^{51}{}_{}{}^{}\mathrm{Ti}$ were obtained. Combining the present results with the $l$ values previously obtained from ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}\mathrm{}(d,p)\mathrm{}$ gives the following $J^{\pi }$ values for the indicated parent states: 2.136 MeV, ${\frac{5}{2}}^{-}$ or ${\frac{7}{2}}^{-}$; 2.189 MeV, ${\frac{3}{2}}^{-}$; 2.896 MeV, ${\frac{1}{2}}^{-}$; 2.92 MeV, $\ge \frac{5}{2}$; and 3.164 MeV, ${\frac{3}{2}}^{-}$. The wave function of the 2.189-MeV state of ${}_{}{}^{51}{}_{}{}^{}\mathrm{Ti}$ is shown to have configurations other than the previously known $p_{\frac{3}{2}}$ neutron coupled to ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}$ $2^{+}$ component.

Cross sections for complete fusion have been measured for the reactions of ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$, ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ti}$, Cu, and Ni target nuclei with ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ projectiles accelerated by the Texas A & M variable-energy cyclotron. Both mica track detectors and solid-state detectors have been used to measure energy spectra, range distributions, and angular distributions for the recoiling product nuclei. The limiting angular momentum, ${\mathrm{J}}_{\mathrm{crit}}$, above which complete fusion does not occur is derived using a sharp cutoff model. This limiting angular momentum is found to increase slowly with excitation energy. Possible interpretations of this energy dependence are discussed.

The ${}_{}{}^{91}{}_{}{}^{}\mathrm{Zr}\mathrm{}(p,t)\mathrm{}$ reaction has been studied at a proton energy of 31 MeV. Tritons were detected in a magnetic spectrograph yielding a resolution of 18 keV. Angular distributions for levels up to 2.75 MeV of excitation in ${}_{}{}^{89}{}_{}{}^{}\mathrm{Zr}$ are compared to two-nucleon-transfer distorted-wave Born-approximation calculations and analyzed in terms of the mixed $L$ transfers allowed from a nonzero-spin target. Two types of neutron configurations are observed to be populated in ${}_{}{}^{89}{}_{}{}^{}\mathrm{Zr}$ by this reaction: single-hole states and one-particle, two-hole states.

Based on their selective population in the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}+{}_{}{}^{14}{}_{}{}^{}\mathrm{N}\to \alpha +{}_{}{}^{22}{}_{}{}^{}\mathrm{Na}$ reactions, states at $E_x=4.466, 4.522, \mathrm{and} 4.708$ MeV are suggested, respectively, as the $4^{-}$ member of the $K^{\pi }=1^{-}$ band, the $7^{+}$ member of the ground-state band, and the $5^{+}$ member of the $K^{\pi }=0^{+}$, $T=0\mathrm{}$ band. A very strongly populated state at 8.60 MeV may be the $8^{+}$ member of the ground-state band.

14 states of ${}_{}{}^{23}{}_{}{}^{}\mathrm{Na}$ with excitation energies <5.6 MeV and their mirror states in ${}_{}{}^{23}{}_{}{}^{}\mathrm{Mg}$ have been studied with the ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}(d,{}_{}{}^3{}_{}{}^{}\mathrm{He}){}_{}{}^{23}{}_{}{}^{}\mathrm{Na}$ and ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}\mathrm{}(d,t)\mathrm{}{}_{}{}^{23}{}_{}{}^{}\mathrm{Mg}$ reactions with a bombarding energy of 21.1 MeV. Differential cross-section measurements indicated significant differences between established $l=2\mathrm{}$ transitions and large cross sections for "$j$-forbidden" ${\frac{7}{2}}^{+}$ and ${\frac{9}{2}}^{+}$ states. Failure of a distorted-wave analysis to predict these anomalies suggested that inelastic effects should not be neglected. Calculations with the coupled-channel Born approximation (CCBA) have produced agreement with experiment and have shown that multiple-step processes not only dominate the transitions to the "$j$-forbidden" states, but have large effects upon allowed transitions as well. From the CCBA predictions it was possible to identify mirror states of the nuclei and to establish $J^{\pi }$ assignments of ${\frac{9}{2}}^{+}$, ${\frac{3}{2}}^{+}$, (${\frac{5}{2}}^{+}$), (${\frac{5}{2}}^{-}$), (${\frac{7}{2}}^{+}$), (${\frac{5}{2}}^{+}$), and (${\frac{11}{2}}^{+}$) for the states in ${}_{}{}^{23}{}_{}{}^{}\mathrm{Mg}$ at 2.71, 2.90, 3.86, 3.97, 4.68, 5.29, and 5.45 MeV, respectively.

The ${}_{}{}^{88}{}_{}{}^{}\mathrm{Sr}\mathrm{}(p,n)\mathrm{}{}_{}{}^{88}{}_{}{}^{}\mathrm{Y}$ and ${}_{}{}^{88}{}_{}{}^{}\mathrm{Sr}(p,n\gamma ){}_{}{}^{88}{}_{}{}^{}\mathrm{Y}$ reactions have been used to study the excited states of ${}_{}{}^{88}{}_{}{}^{}\mathrm{Y}$ up to an excitation energy of 1832 keV. Determinations of the excitation energies of 18 levels to an accuracy of ±1 and ±2 keV, for levels with excitation energies less than and greater than 800 keV, respectively, have been made. Angular distributions of five $\gamma$ rays deexciting states at 232, 393, 706, and 766 keV were measured and analyzed according to the statistical-model theory. This analysis confirms assignments of $J^{\pi }$ values of $5^{-}$, $1^{+}$, $2^{-}$, and $0^{+}$ to these respective states. Of particular interest is the $2^{-}$ level at 706 keV. The intensities of neutrons from the ${}_{}{}^{88}{}_{}{}^{}\mathrm{Sr}\mathrm{}(p,n)\mathrm{}{}_{}{}^{88}{}_{}{}^{}\mathrm{Y}$ reaction exciting levels up to 1832 keV have been compared with statistical-model calculations of the neutron yields to the respective states for particular assumed spin values. Consistent spin-parity assignments are given for many of the levels observed.

In order to study the effects of the addition of neutrons, one has to study the even as well as odd isotopes of a given nucleus. For this reason, the Hartree-Fock-Bogoliubov formalism which is available for even-even nuclei is extended for the even-odd nuclei. The blocking effect introduced by the odd nucleon is taken into account in the formalism. The numerical calculations are carried out for 22 nuclei of the $p-f$ shell (the isotopes of Ti, Cr, Fe, and Zn) considering ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ as a doubly closed core. By comparing the results of the odd nuclei with the results of the even-even nuclei, the spectra of which are obtained in our earlier work, one understands the effects of the addition of neutrons on the nuclear properties such as the deformation, Fermi surface, saturation properties of the nuclear force, single-particle levels, and the pickup strengths. The calculated binding energies, separation energies, pair separation energies, $B\left(E2\mathrm{}\right)\mathrm{}$ values, quadrupole moments, and the neutron and proton pickup strengths compare very well with the experimental values. The possibility of obtaining the "equivalent deformation" for which the Nilsson levels correspond to the calculated single-particle levels is discussed.

The $K$-shell internal ionization probability for the decay of ${}_{}{}^{99}{}_{}{}^{}\mathrm{Tc}$ has been measured using a high-resolution Si(Li) x-ray spectrometer. Absolute source strengths were determined on the basis of source weight and also from an analysis of the intensities of Tc $K$ x rays produced during irradiations with 60-MeV $\alpha$ particles. A value of (3.89 ± 0.16) × ${10}^{-4\mathrm{}}$ per $\beta$ decay was obtained for the $K$-shell internal-ionization probability. This result is compared with the predictions of various theories of electron shakeoff.

Neutron-deficient isotopes of cesium (${}_{}{}^{129}{}_{}{}^{}\mathrm{Cs}$, ${}_{}{}^{127}{}_{}{}^{}\mathrm{Cs}$, and ${}_{}{}^{125}{}_{}{}^{}\mathrm{Cs}$) were produced by the $\alpha$-particle bombardment of natural iodine. $\gamma$-ray energies and intensities were measured with Ge (Li) detectors. In the decay of 32-h ${}_{}{}^{129}{}_{}{}^{}\mathrm{Cs}$, among others, 372- and 582-keV $\gamma$ rays were detected. In the decay of 6.2-h ${}_{}{}^{127}{}_{}{}^{}\mathrm{Cs}$, new $\gamma$ rays have been detected, and new levels at 1430, 1805, and 1829 keV have been proposed. In the decay of 45-min ${}_{}{}^{125}{}_{}{}^{}\mathrm{Cs}$, the following levels in ${}_{}{}^{125}{}_{}{}^{}\mathrm{Xe}$ (percentage feeding in parentheses) have been proposed: ground state (54%), 112 keV (2%), 526 keV (30%), 540 keV (4%), 712 keV (6%), 1311 keV (0.33%), 1326 keV (0.43%), 1579 keV (0.5%), 1698 keV (0.7%), 2154 keV (0.2%), 2523 keV (0.2%), and 2545 keV (0.1%). These decay schemes show that the $\beta$ decay of these cesium isotopes takes place preferentially to the excited states in the daughter xenon isotopes.

Low-lying states of ${}_{}{}^{136}{}_{}{}^{}\mathrm{Xe}$ with excitation energies up to 3.3 MeV are investigated via inelastic scattering of 13.982-MeV protons. Spin, parity, and deformation parameters are extracted for 13 excited states through distorted-wave Born-approximation (DWBA) analysis using a collective-model form factor. The results obtained indicate that ${}_{}{}^{136}{}_{}{}^{}\mathrm{Xe}$ is not a typical vibrational nucleus. A microscopic calculation for the level spectrum and the inelastic form factor, based on the quasiparticle random-phase approximation, is performed. DWBA angular distributions are calculated using a microscopic form factor. The level spectrum and the absolute magnitudes of the cross sections for most of the $4^{+}$, $6^{+}$, and $3^{-}$ observed states are reasonably well reproduced through these calculations. For the $2^{+}$ states, however, the predicted level density and the distribution of the inelastic strengths disagree with the observed data. In addition, three deuteron groups leading to states of ${}_{}{}^{135}{}_{}{}^{}\mathrm{Xe}$ are observed. The orbital-angular-momentum-transfer values and the spectroscopic factors for these states are obtained through DWBA analysis of the data.

The distribution of mass and charge in the spontaneous fission of ${}_{}{}^{244}{}_{}{}^{}\mathrm{Cm}$ has been investigated by radiochemical and mass spectrometric determination of the fission yields for 40 mass chains and 2 shielded nuclides (independent yields). The mass distribution is highly asymmetric with a relative probability of asymmetric-to-symmetric fission (peak-to-valley ratio) of greater than 5700. The average masses of the light and heavy groups are 103.1 and 138.7, respectively. The characteristics of the mass distribution, as well as the division of nuclear charge indicated by the independent yields of the two shielded nuclides, are consistent with the systematics established from other studies of low-energy fission.

The inelastic scattering of ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ from ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ has been studied at an incident ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ energy of 104 MeV. The angular distributions to the $3^{-}$, $5^{-}$, and $2^{+}$ levels at 2.62, 3.20, and 4.10 MeV in ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ show interference patterns like those expected from the destructive interference of Coulomb and nuclear excitation. The phase, $\alpha$, of the nuclear excitation form factor, is determined to be $\alpha =30\mathrm{}\pm 15°$, in good agreement with the collective model. Transition probabilities deduced from the potential deformations are smaller by a factor of ∼2 than the electromagnetic transition probabilities measured in ($e,e^{\prime }$) or Coulomb excitation.

The elastic scattering of ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ and ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ on nuclei of ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$, ${}_{}{}^{206}{}_{}{}^{}\mathrm{Pb}$, ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$, ${}_{}{}^{144}{}_{}{}^{}\mathrm{Nd}$, ${}_{}{}^{146}{}_{}{}^{}\mathrm{Nd}$, ${}_{}{}^{148}{}_{}{}^{}\mathrm{Nd}$, ${}_{}{}^{152}{}_{}{}^{}\mathrm{Sm}$, and ${}_{}{}^{154}{}_{}{}^{}\mathrm{Sm}$ was studied in order to determine the strong-absorption radii and to see if these may be influenced by Coulomb distortion effects. It was found that these Coulomb effects were small and all radii could be described by a radius parameter $R_0$ between 1.30 and 1.44 fm.

The nuclear energy levels of ${}_{}{}^{108,110}{}_{}{}^{}\mathrm{Cd}$ up to 4 MeV of excitation are examined by the ${}_{}{}^{107,109}{}_{}{}^{}\mathrm{Ag}({}_{}{}^3{}_{}{}^{}\mathrm{He},d)$ reactions. Approximately 30 levels are populated in each nucleus, many of which were previously unreported. $l$ values and spectroscopic strengths are given for the more strongly excited states. The data are compared with previously reported levels and $J^{\pi }$ assignments, and are used to resolve several discrepancies in reported ${}_{}{}^{110m}{}_{}{}^{}\mathrm{In}$ decay schemes.

NUCLEAR REACTIONS ${}_{}{}^{107,109}{}_{}{}^{}\mathrm{Ag}({}_{}{}^3{}_{}{}^{}\mathrm{He},d)$, $E=27\mathrm{}$ MeV; measured $\sigma (E_d,\theta )$. ${}_{}{}^{108,110}{}_{}{}^{}\mathrm{Cd}$ deduced levels, $l_p$, $C^2{S}^{\prime }$, $J$, $\pi$.

Double internal bremsstrahlung has been observed in the $\beta$ decay of ${}_{}{}^{204}{}_{}{}^{}\mathrm{T}1\mathrm{}$ for photon energies above 103 keV. Coincident photons, detected by two 3-in.×3-in. NaI(T1) detectors located at an angle of 90°, form a two-dimensional spectrum. Total intensities are obtained as a function of the sum of the energies deposited in the two detectors. The ratio of the intensity of the double internal bremsstrahlung for a sum energy $E$ to the intensity of the single internal bremsstrahlung for a photon of energy $E$ associated with this decay was found as a function of $E$. The experimental results are compared with theoretical calculations.

The ${}_{}{}^{115}{}_{}{}^{}\mathrm{In}\mathrm{}(p,p)\mathrm{}{}_{}{}^{115}{}_{}{}^{}\mathrm{In}$ reaction for $E_p=6.6\mathrm{} \mathrm{to} 7.6$ MeV has been analyzed. The target spin of ${}_{}{}^{115}{}_{}{}^{}\mathrm{In}$ is ${\frac{9}{2}}^{+}$. This means that there can be a maximum of 10 partial waves in each analog resonance. However, there are usually one or two dominant single-particle states which contribute to a resonance. In this reaction the $s_{\frac{1}{2}}$ and $d_{\frac{3}{2}}$ channels are dominant in the energy region from 6.6 to 7.6 MeV. Fits to the differential cross-section data of Thompson et al. were found to be quite good when only these two channels were included for the positive-parity states. The $s_{\frac{1}{2}}$ and $d_{\frac{3}{2}}$ channels can couple to the ${\frac{9}{2}}^{+}$ target spin to give total spins and parities of $4^{+}$, $5^{+}$, and $3^{+}$, $4^{+}$, $5^{+}$, $6^{+}$. All of these states were seen and analyzed. A sum rule is derived which involves the total spins of the resonances. The total spins assigned are found to be consistent with this sum rule. There is a strong amount of mixing in the $4^{+}$ and $5^{+}$ states.

The ion-implantation-perturbed-angular-correlation technique has been used to measure the $g$ factors of the first $2^{+}$ excited states of four even osmium nuclei in a ferromagnetic nickel host. The observed angular precessions were: $\omega \tau \left({}_{}{}^{192}{}_{}{}^{}\mathrm{Os}\right)=0.22\mathrm{}\pm 0.01$, $\omega \tau \left({}_{}{}^{190}{}_{}{}^{}\mathrm{Os}\right)=0.277\mathrm{}\pm 0.009$, $\omega \tau \left({}_{}{}^{188}{}_{}{}^{}\mathrm{Os}\right)=0.39\mathrm{}\pm 0.03$, and $\omega \tau \left({}_{}{}^{186}{}_{}{}^{}\mathrm{Os}\right)=0.38\mathrm{}\pm 0.08$. The angular precession result for ${}_{}{}^{192}{}_{}{}^{}\mathrm{Os}$ is in excellent agreement with the results of perturbed-angular-correlation measurements in nickel using radioactive sources. It was found that the internal field seen by the osmium nuclei implanted in nickel is in good agreement with the value obtained by room temperature NMR techniques. The available direct lifetime measurements for ${}_{}{}^{186,188}{}_{}{}^{}\mathrm{Os}$ and lifetimes extracted from $B\left(E2\mathrm{}\right)\mathrm{}$ values for ${}_{}{}^{190,192}{}_{}{}^{}\mathrm{Os}$ are used to obtain the gyromagnetic ratios: $g\left({}_{}{}^{192}{}_{}{}^{}\mathrm{Os}\right)=0.39\mathrm{}\pm 0.03$, $g\left({}_{}{}^{190}{}_{}{}^{}\mathrm{Os}\right)=0.39\mathrm{}\pm 0.03$, $g\left({}_{}{}^{188}{}_{}{}^{}\mathrm{Os}\right)=0.29\mathrm{}\pm 0.03$, and $g\left({}_{}{}^{186}{}_{}{}^{}\mathrm{Os}\right)=0.24\mathrm{}\pm 0.05$.

The tritium yields per fission for ${}_{}{}^{236}{}_{}{}^{}\mathrm{U}$ are reported for the reaction ${}_{}{}^{235}{}_{}{}^{}\mathrm{U}+n$ from thermal energies to 700 keV. In addition, the corresponding $\alpha$-particle yields and energy spectra are reported above neutron energies of 170 keV. An increase of a factor of 2.3 to 2.4 in the tritium yield over its thermal value of 0.85 ± 0.09× ${10}^{-4\mathrm{}}$ tritons per fission is observed. No similar change is observed for the $\alpha$-particle yields.

The decay of 51.4-min ${}_{}{}^{177m_2}{}_{}{}^{}\mathrm{Hf}$ has been studied in detail by means of Ge(Li) detectors and a Si(Li) detector. The $L$-subshell conversion-electron ratios for the 214.0-keV isomeric transition were measured with a double-focusing $\beta$-ray spectrometer. An $E3\mathrm{}$ multipolarity was deduced for the isomeric transition, and thus a spin-parity of $I^{\pi }={\frac{37}{2}}^{-}$ was established for the isomeric state. Coincidence measurements identify the $K^{\pi }={\frac{23}{2}}^{+}$ rotational band up to the $I=\frac{31}{2}$ member. The rotational-model quantity $\frac{{(g_K-g_R)}^2}{Q_0^{}{}_{}{}^2}$, derived from the $\gamma$-ray intensities of the cascade and crossover transitions, was used to deduce the gyromagnetic ratios for this band.

Angular distributions have been measured for a number of $\gamma$ rays emitted by ${}_{}{}^{126,127,128}{}_{}{}^{}\mathrm{Sb}$ polarized at low temperatures in iron. From the 0-90° anisotropies of the angular distributions, taking the proposed spin values $J=8\mathrm{}$ (${}_{}{}^{126,128}{}_{}{}^{}\mathrm{Sb}$) and $J=\frac{7}{2}$ (${}_{}{}^{127}{}_{}{}^{}\mathrm{Sb}$), the ground-state magnetic moments have been deduced to be: $\left|\mu \right({}_{}{}^{126}{}_{}{}^{}\mathrm{Sb}\left)\right|=1.28\mathrm{}\pm 0.07{\mu }_N$; $\left|\mu \right({}_{}{}^{127}{}_{}{}^{}\mathrm{Sb}\left)\right|=2.59\mathrm{}\pm 0.12{\mu }_N$; $\left|\mu \right({}_{}{}^{128}{}_{}{}^{}\mathrm{Sb}\left)\right|=1.31\mathrm{}\pm 0.19{\mu }_N$. Based on the anisotropies of the ${}_{}{}^{127}{}_{}{}^{}\mathrm{Te}$ $\gamma$ rays the following ${}_{}{}^{127}{}_{}{}^{}\mathrm{Te}$ spin assignments are favored (level energies in keV): ${\frac{3}{2}}^{+} \mathrm{}\left(0\right)\mathrm{}$, ${\frac{1}{2}}^{+} \mathrm{}\left(61\right)\mathrm{}$, ${\frac{11}{2}}^{-} \mathrm{}\left(88\right)\mathrm{}$, ${\frac{9}{2}}^{-} \mathrm{}\left(341\right)\mathrm{}$, ${\frac{5}{2}}^{+} \mathrm{}\left(473\right)\mathrm{}$, ${\frac{7}{2}}^{-} \mathrm{}\left(632\right)\mathrm{}$, ${\frac{7}{2}}^{+} \mathrm{}\left(686\right)\mathrm{}$, ${\frac{5}{2}}^{+} \mathrm{}\left(784\right)\mathrm{}$, ${\frac{9}{2}}^{-} \mathrm{}\left(786\right)\mathrm{}$, ${\frac{7}{2}}^{+} \mathrm{}\left(924\right)\mathrm{}$, ${\frac{5}{2}}^{+} or {\frac{9}{2}}^{+} \mathrm{}\left(1077\right)\mathrm{}$, ${\frac{5}{2}}^{+} \mathrm{}\left(1142\right)\mathrm{}$, ${\frac{5}{2}}^{+} \mathrm{}\left(1290\right)\mathrm{}$. Based on these spin assignments, $\frac{E2\mathrm{}}{M1\mathrm{}}$ mixing ratios have been deduced for a number of ${}_{}{}^{127}{}_{}{}^{}\mathrm{Te}$ $\gamma$ rays.