The $\gamma$ rays from 8.7-min ${}_{}{}^{49}{}_{}{}^{}\mathrm{Ca}$ and from 57.4-min ${}_{}{}^{49}{}_{}{}^{}\mathrm{Sc}$ have been measured with a 40-${\mathrm{cm}}^3$ Ge(Li) detector. It is proposed that ${}_{}{}^{49}{}_{}{}^{}\mathrm{Ca}$ decay populates levels in ${}_{}{}^{49}{}_{}{}^{}\mathrm{Sc}$ at 2228.6, 2371.8, 3084.4, 3516.6, 4071.9, 4493.3, and 4738.2 keV. The ${}_{}{}^{49}{}_{}{}^{}\mathrm{Sc}$ decay populates levels in ${}_{}{}^{49}{}_{}{}^{}\mathrm{Ti}$ at 1622.6 and 1761.9 keV. Limits on probable spin and parity values for these levels have been established. Mixing ratios for the 1408.9-keV $\gamma$ ray were obtained from angular-correlation measurements. Weak transitions observed in this study provide further insights into the structure of ${}_{}{}^{49}{}_{}{}^{}\mathrm{Sc}$ levels, in particular, the ${\mathrm{½}}^{+}$ and ${\frac{3}{2}}^{+}$ hole states.

The spin of the 937 ± 1-keV level in ${}_{}{}^{54}{}_{}{}^{}\mathrm{Co}$ was determined by exciting that level with the reaction ${}_{}{}^{54}{}_{}{}^{}\mathrm{Fe}\mathrm{}(p,n)\mathrm{}{}_{}{}^{54}{}_{}{}^{}\mathrm{Co}$ and measuring the angular distributions of the neutrons which populate this level and of the subsequent $\gamma$-ray decay. On the basis of the analysis of the results, a spin of 1 was assigned to this level.

The $\beta -\gamma$ circular-polarization correlation $P_{\gamma }$ for the 2.41-MeV $\beta$ transition of ${\mathrm{As}}^{76}$ has been measured as an average value over the energy interval $E_{\beta }=1.4\mathrm{} \mathrm{to} 2.0$ MeV at an average angle ${\theta }_{\beta \gamma }={158}^{\circ }$. Previous experimental data, this new value for $P_{\gamma }$, and theoretical arguments are used to set limits on the nuclear matrix elements and to investigate the diagonality of the Coulomb Hamiltonian. The analysis shows that matrix elements which change the angular momentum by 0, 1, and 2 units all contribute with approximately equal strength to the transition. The matrix-element analysis indicates that the $A_3$ term in $P_{\gamma }$ is negligible compared to the $A_1$ term. When $A_3$ is set equal to zero, the experimental data give the following value for $P_{\gamma }:P_{\gamma }(1.4\mathrm{} \mathrm{MeV}<E_{\beta }<2.0\mathrm{} \mathrm{MeV}, {\theta }_{\beta \gamma }={180}^{\circ })=0.105\mathrm{}\pm 0.02$.

Internal conversion of the 14.4-keV transition in the outer shells of ${\mathrm{Fe}}^{57}$ following the decay of ${\mathrm{Co}}^{57}$ has been examined at 0.05% momentum resolution. The intensity of the conversion in the outermost shell, $N_1$ in the free atom, relative to that of the $M_1$ shell shows a dependence on the chemical environment of the decaying ${\mathrm{Co}}^{57}$ atom. ${\mathrm{Co}}^{57}$ ions from an electromagnetic isotope separator were deposited at <25 eV on the surface ("oxide state") or were allowed at 500 eV to penetrate a natural graphite crystal lattice ("metallic state") where oxidation could not occur. The intensity ratio $\frac{N_1}{M_1}$ ("oxide") is 0.024±0.002 and $\frac{N_1}{M_1}$ ("metal") is 0.034 ±0.003. The $N_1$-shell line shapes show less low-energy tail than the $M_1$ lines (which are only ∼0.7% lower in energy), an effect probably due to less outer-shell electron shakeoff in the case of the $N_1$ lines. This result throws doubt on the accuracy of the analyses of previous experiments in which the outermost-shell conversion lines were not well enough resolved to observe this effect and in which the assumption of similar line shapes were used.

The structure of low-lying states in ${}_{}{}^{44}{}_{}{}^{}\mathrm{Ti}$ is studied in terms of a conventional shell model. The calculated spectrum is in reasonable agreement with available experimental information. The results of the "exact" shell-model calculation are compared with calculations of the ${}_{}{}^{44}{}_{}{}^{}\mathrm{Ti}$ spectrum in terms of the stretch scheme and the deformed Hartree-Fock with projection scheme. We find that these two approximations are not in good agreement with the exact calculation. We study the effects on the calculated spectrum of varying the single-particle energy spectrum. We find that the "rotational" character of the calculated spectrum is sensitive to the single-particle energies. The sensitivity can be accounted for by assuming that the wave functions of the members of a rotational band are projections from an intrinsic state with a strong quadrupole deformation. The effect of the $T=0\mathrm{}$ part of the residual interaction, and of the Pauli principle, on the rotational character of the calculated spectrum of low-lying states is discussed.

The radiative-capture reaction ${}_{}{}^{59}{}_{}{}^{}\mathrm{Co}(p,\gamma ){}_{}{}^{60}{}_{}{}^{}\mathrm{Ni}$ has been studied for proton energies from 4.40 to 13.60 MeV. Cross-section and angular-distribution data were measured with a large anticoincidence-shielded NaI(T1) detector. The yield curve for ground-state capture shows two broad peaks, at ${}_{}{}^{60}{}_{}{}^{}\mathrm{Ni}$ excitations of 16.6 and 19.6 MeV; these are interpreted as the $T_{<} \mathrm{and} T_{>}$ components of the giant dipole resonance. The results of a detailed calculation ignoring isospin effects do not adequately explain all of the observations; a simple 1p-1h calculation using eigenfunctions of $T$ describes the results quite well. The first-excited-state-capture yield curve is similar to the ground-state curve, shifted in energy by ∼300 keV. The data suggest that most of the observed strength in the giant dipole resonance based on the first excited state of ${}_{}{}^{60}{}_{}{}^{}\mathrm{Ni}$ is concentrated in $2^{-}$ states.

The level structure of ${}_{}{}^{37}{}_{}{}^{}\mathrm{Ar}$ has been investigated via the reaction ${}_{}{}^{36}{}_{}{}^{}\mathrm{Ar}\mathrm{}(d,p)\mathrm{}{}_{}{}^{37}{}_{}{}^{}\mathrm{Ar}$ at an incident deuteron energy of 9.162 MeV and with an over-all energy resolution of approximately 30 keV. A total of 53 states of ${}_{}{}^{37}{}_{}{}^{}\mathrm{Ar}$ with excitation energies up to 9.012 MeV have been observed. The orbital-angular-momentum-transfer values and the spectroscopic factors for 29 of the observed states have been extracted using finite-range distorted-wave Born-approximation calculations corrected for nonlocality of the optical potential. One $l=0\mathrm{}$, two $l=2\mathrm{}$, three $l=3\mathrm{}$, and twenty-three $l=1\mathrm{}$ transfer values have been assigned. Spin assignments have been made on the basis of the conventional shell-model ordering of states, by comparison of the states of ${}_{}{}^{37}{}_{}{}^{}\mathrm{Ar}$ with those of the mirror nucleus ${}_{}{}^{37}{}_{}{}^{}\mathrm{K}$, and on the basis of the Lee-Schiffer effect. The spin, parity, excitation energies, and the spectroscopic factors obtained for the lowest few states in ${}_{}{}^{37}{}_{}{}^{}\mathrm{Ar}$ are in fair agreement with those predicted through recent shell-model calculations.

Levels of ${\mathrm{S}}^{36}$ have been investigated via the ${\mathrm{S}}^{34}\mathrm{}(t,p)\mathrm{}{\mathrm{S}}^{36}$ reaction, using targets of ${\mathrm{Sb}}_2$${\mathrm{S}}_3$ with the sulfur content enriched to 86% in the isotope ${\mathrm{S}}^{34}$. The excitation energies (given in MeV) of the levels observed, together with the restrictions on spins and parities resulting from this investigation and also previous work, are as follows: 3.29, $2^{+}$; 3.34, $0^{+}$; 4.19, $3^{-}$; 4.52, $1^{+}$; 4.57, $2^{+}$; 5.26, 1, 2, 3; 5.38, 1, 2, or (3); 5.50, 2, (3), 4; 5.57, 1, (2), 3; 6.20, 2, 3; 6.51, $4^{+}$; and 7.12, $1^{+}$ or $2^{+}$. Information on the $\gamma$-ray branching of these levels and on the angular-correlation patterns of major branches was obtained from two-parameter $p-\gamma$ coincidence studies utilizing collinear detection of the reaction protons. The 3.29-MeV level decays by $E2$ radiation directly to the ${\mathrm{S}}^{36}$ $J^{\pi }=0^{+}$ ground state. An intermediate-image pair spectrometer was used to determine that the 3.34-MeV level has $J^{\pi }=0^{+}$, since it decays by an $E0$ transition to the ground state. With the exception of the 4.52-, 5.38-, and 7.12-MeV levels, which decay mainly to the ground state, the higher-lying levels were observed to deexcite primarily by cascade transitions through the 3.29-MeV level. Ge(Li) studies of $\gamma$-ray Doppler shifts determine the following mean-lifetime restrictions for the indicated levels (excitations in MeV); 3.29, $\tau =0.20\mathrm{}\pm 0.03$ psec; 4.19, $\tau >2\mathrm{} \mathrm{psec}$; and 4.57, $\tau <0.1\mathrm{}$ psec. Additional but less restrictive limitations are given for several of the remaining levels. The lifetime of the $0^{+}$ 3.34-MeV state was measured by electronic techniques which determine a mean life $\tau =12.7\mathrm{}\pm 0.3$ nsec. The spin-parity limitations deduced herein are from a combination of the results of the angular-correlation analysis and these lifetime limitations. No evidence was obtained for the existence of states at 2.00 and 2.85 MeV previously reported from the ${\mathrm{S}}^{34}\mathrm{}(t,p)\mathrm{}{\mathrm{S}}^{36}$ reaction. Finally, the observed level structure as deduced from this and previous experiments is compared with relevant shell-model calculations on the even- and odd-parity states of this $T_z=2\mathrm{}$ nucleus.

The mean lifetime of the $J^{\pi }={\frac{1}{2}}^{-}{}_{}{}^{21}{}_{}{}^{}\mathrm{Ne}$ level at an excitation energy of 2791 keV was measured by the gas-target variant of the recoil-distance technique. The result of 84±10 psec is discussed in terms of the structure of mass-21 states.

The particle-vibration-coupling formalism for nuclei around closed shells is studied and a microscopic description is given. We consider as collective modes of excitation of the closed-shell-system ($N_0$) ground state both particle-hole excitations and excitations that change the number of particles by 2 (pairing mode). To describe the pairing modes, multipole pairing residual interactions are used. The odd particle is allowed to couple to both types of vibrations. The coupling Hamiltonian is linear in the collective phonons and the particle variables. The effective Hamiltonian is constructed by a perturbative method. Explicit expressions are given for the spectroscopic amplitudes and spectroscopic factors associated with the ($N_0-1\mathrm{}$) ($t,p$) ($N_0+1\mathrm{}$) and ($N_0+2\mathrm{}$) ($p,d$) ($N_0+1\mathrm{}$) reactions, respectively. The concept of an effective transfer operator is used. Special attention is paid to the ${}_{}{}^{207}{}_{}{}^{}\mathrm{Pb}\mathrm{}(t,p)\mathrm{}$ and ${}_{}{}^{210}{}_{}{}^{}\mathrm{Pb}\mathrm{}(p,d)\mathrm{}$ reactions.

The ${}_{}{}^{207}{}_{}{}^{}\mathrm{Pb}\mathrm{}(t,p)\mathrm{}{}_{}{}^{209}{}_{}{}^{}\mathrm{Pb}$ reaction has been performed at 20 MeV. The excitation of the single-particle states is used as a normalization for the distorted-wave code of Bayman and Kallio. A large number of two-particle-one-hole states are seen in the excitation region examined, the first (the ${\mathrm{½}}^{-}$) being at 2.152 MeV. The remaining states are interpreted as being multiplets of the [$p_{\frac{1}{2}}^{}{}_{}{}^{-1\mathrm{}}\left|{}_{}{}^{210}{}_{}{}^{}\mathrm{Pb}\mathrm{}\right(J)\mathrm{}〉$] configurations. The magnitudes and energy centroids of the observed states are compared with those observed in the ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}\mathrm{}(t,p)\mathrm{}{}_{}{}^{210}{}_{}{}^{}\mathrm{Pb}$ experiment and also with the theoretical treatment of a particle coupling to multipole pairing and particle-hole fields.

Spectroscopic factors for the one-body stripping and pickup reactions on ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ are analyzed within the particle-vibration-coupling model that was developed in the first paper of this series. The calculation of the transfer amplitudes is performed up to third-order perturbation theory. A comparison with recent experimental data is carried out.

The $\gamma$ radiations of $\approx {10}^5-\mathrm{y}\mathrm{r}$ ${}_{}{}^{126}{}_{}{}^{}\mathrm{Sn}$ and of the ${}_{}{}^{126}{}_{}{}^{}\mathrm{Sb}$ isomers have been studied with NaI(Tl) scintillation spectrometers and Ge(Li) detectors. $\beta$-ray spectra were measured with a trans-stilbene scintillation unit, and conversion electrons were examined with Si(Li) detectors. The decay of ${}_{}{}^{126}{}_{}{}^{}\mathrm{Sn}$ involves a 0.25 ± 0.03-MeV $\beta$ transition followed by 21.6-, 23.4-, 42.7-, 64.4-, and 87.7-keV $\gamma$ transitions in ${}_{}{}^{126}{}_{}{}^{}\mathrm{Sb}$. The 23.4- and 87.7-keV transitions are in prompt coincidence with the $\beta$ rays; the 64.4-keV and either the 21.6- or 42.7-keV transitions deexcite an intermediate delayed level with $t_{\frac{1}{2}}=0.5\mathrm{}\pm 0.1$ μsec. Both the 19-min and the 12.4- day isomers of ${}_{}{}^{126}{}_{}{}^{}\mathrm{Sb}$ have essentially the same 1.90 ± 0.15-MeV maximum $\beta$-ray endpoint energy; however, the $\beta$ spectrum of the latter is more complex (intense inner groups). The 19-min isomer decays by $\beta$ emission (86%) to excited levels in ${}_{}{}^{126}{}_{}{}^{}\mathrm{Te}$ and by ≤31-keV isomeric transition (14%) to the 12.4-day ground state. The ${}_{}{}^{126}{}_{}{}^{}\mathrm{Te}$ excited levels involved in the decay of both ${}_{}{}^{126}{}_{}{}^{}\mathrm{Sb}$ isomers are at 665($2^{+}$), 1359($4^{+}$), 1774($6^{+}$), 2215, 2395, 2494, 2514, 2702, 2761, 2834, 3086, 3187, and 3413 keV. Spin and parity assignments of $5^{+}$ and $8^{-}$ are proposed for the 19-min and 12.4-day isomers, respectively. The total $\beta$-disintegration energy of the ${}_{}{}^{126}{}_{}{}^{}\mathrm{Sb}$ ground state is 3.67 ± 0.15 MeV.

The equations of the self-consistent core-particle coupling method, or generalized Hartree-Fock approximation, are derived for the special case of the pairing-plus-quadrupole-quadrupole interaction model. The bases of the approximations of this method are discussed along with the resolution of certain associated technical difficulties. We present, and compare with experiment, results of calculations for the tin isotopes which are completely self-consistent and satisfy all relevant physical constraints. These results include the static quadrupole moments of the first $2^{+}$ states of the even tin isotopes, energies of low-lying states of the odd tin isotopes, and relative spectroscopic factors for ($p,d$) reactions on even targets.

The energies and the detailed structure of the excited states of ${\mathrm{Pb}}^{208}$ with negative parity are well described by a conventional shell-model calculation which uses a "simple" phenomenological residual force. The calculated position of the analog of the ground state of ${\mathrm{Pb}}^{208}$ in ${\mathrm{Bi}}^{208}$ is also in agreement with the experimental results.

Using a proportional counter to resolve the 35.5-keV $\gamma$ ray from Te x rays, the following directional correlations have been measured: (601 + 606) -35.5 $A_2=-0.060\mathrm{}\pm 0.020$, 427-35.5 $A_2=0.230\mathrm{}\pm 0.030$, and 636-35.5 $A_2=-0.065\mathrm{}\pm 0.030$. The first correlation is consistent with $L$-subshell measurements that gave $\mathrm{}\left|f\right(35.5\mathrm{}\left)\right|\le 0.03$, where $f=\frac{\delta }{{(1+{\delta }^2)}^{\frac{1}{2}}}$ with $\delta$ defined according to Rose and Brink. Taking cognizance of other work also, the best mixing-parameter values that we may assign now are $f\left(427\right)\mathrm{}\approx 0.4$ and $f\left(636\right)\mathrm{}\approx -0.3\mathrm{}$ but the results may be influenced by reorientation while in the 35.5-keV level, and additional experiments to investigate this possibility are underway.

High-resolution neutron total cross-section measurements were performed on natural samples of titanium, iron, and nickel from 200 eV to a few MeV using the Nevis synchrocyclotron neutron velocity spectrometer with a 200-m flight path. The energy resolution was adequate only up to 200 keV to perform a detailed $R$-matrix multilevel analysis of the data. The resonance energies, isotopic and $l$-value assignment, neutron widths, etc., up to this energy have been determined. From these the mean level spacings $〈D〉$ and the $s$-wave strength functions ($S_0$) have been calculated. Information about the resonance parameters of the bound level in iron and nickel has been also obtained. Values of ${\Gamma }_{\gamma }=8.2\mathrm{}$ eV for the ${\mathrm{Ti}}^{48}$ (17.8 keV) resonance, ${\Gamma }_{\gamma }=0.64\mathrm{}$ for the bound level at -2 keV in ${\mathrm{Fe}}^{56}$, and ${\Gamma }_{\gamma }=9.0\mathrm{}$ eV for the bound level at -28.5 keV in ${\mathrm{Ni}}^{58}$ have been determined by requiring an agreement with the measured thermal-neutron-capture cross section in these nuclei.

Coincidence measurements of the internal-conversion electrons and x rays emitted by the fragments and products of the spontaneous fission of ${\mathrm{Cf}}^{252}$ are reported. In the experiment, two-parameter data were recorded event by event and stored sequentially on magnetic tape. The first parameter contained information on the energy of the x ray as measured by a high-resolution semiconductor detector and was used to determine the atomic number of the de-exciting nucleus. The second parameter contined information on the energy of the internal-conversion electrons. Two measurements were performed. The first measurement recorded only electrons emitted from the pre-$\beta$-decay fission fragments, while the second measured events from both the fragments and products of fission. In general it was found that the x rays from an element are produced by numerous internal-conversion transitions. The energies of these transitions are tabulated for each element produced in fission. A greater number of these transitions were observed to occur for odd-$Z$ elements than for even-$Z$ elements suggesting the even-even nuclides contribute little to the x-ray spectrum. This even-odd effect was more pronounced in the measurement of events from both fragments and products of fission than in the measurement of events from the fission fragments alone.

The proposed doorway state in ${}_{}{}^{207}{}_{}{}^{}\mathrm{Pb}$ seen by neutron total cross-section measurements on ${}_{}{}^{206}{}_{}{}^{}\mathrm{Pb}$ also has been observed in the ($\gamma ,n$) reaction. Both the envelope of the strength and the correlation between fine structure in the two channels support the doorway-state interpretation. The width for $\gamma$-ray decay of the doorway state to the ground state ${\Gamma }_{\gamma 0}^D$ is found to be 36.5 ± 3.5 eV. Other possible doorway states in the $\gamma$-ray channel in ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ at 500 keV, ${}_{}{}^{207}{}_{}{}^{}\mathrm{Pb}$ at 125 keV, and ${}_{}{}^{57}{}_{}{}^{}\mathrm{Fe}$ at 50 and 250 keV above threshold are discussed. An attempt is made to produce a correlation between neutron and $\gamma$-ray widths; no significant correlation was observed for these nuclei.

The threshold for the ${}_{}{}^{36}{}_{}{}^{}\mathrm{Ar}\mathrm{}(p,n)\mathrm{}{}_{}{}^{36}{}_{}{}^{}\mathrm{K}$ reaction has been found at $E_p=14.002\mathrm{}\pm 0.024$ MeV (lab). This leads to a mass excess for ${}_{}{}^{36}{}_{}{}^{}\mathrm{K}$ of -17.396 ± 0.023 MeV. The half-life of positron activity for ${}_{}{}^{36}{}_{}{}^{}\mathrm{K}$ was found to be 345 ± 5 msec.