We present kinetic flow parameters based on charged particle exclusive streamer chamber data for Ne on NaF at bombarding energies of 0.425 GeV/nucleon and 0.577 GeV/nucleon, and for Ar on ${\mathrm{Pb}}_3$${\mathrm{O}}_4$ at 0.4 GeV/nucleon. Flow angles and aspect ratios are determined as functions of charged track multiplicity. The experimental findings are compared with predictions based on the intranuclear cascade model of Cugnon et al.

NUCLEAR REACTIONS ${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$(NaF), $E_{\mathrm{lab}}=0.425, 0.577$ GeV/nucleon, ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ar}$(${\mathrm{Pb}}_3$${\mathrm{O}}_4$), $E_{\mathrm{lab}}=0.4\mathrm{}$ GeV/nucleon. Global analysis, comparison with intranuclear cascade model.

I derive analytic expressions for $E2\mathrm{}$ transition rates in the SU(3) limit with a general $E2\mathrm{}$ operator. With these expressions the influence of the boson number on the properties of a Michailov plot can be studied.

NUCLEAR STRUCTURE $E2\mathrm{}$ transitions in the SU(3) limit of the IBM.

A detailed analysis of the extension of the Barshay-Temmer theorem to reaction product pairs that are members of the same SU(4) multiplet (Wigner supermultiplet) is presented. Nonzero values of the total orbital angular momentum within fragments in the presence of residual spin orbit splitting is shown to destroy symmetry of the reaction products around 90° except in a sum rule sense. Departures from reaction symmetry are related to the SU(4) breaking parameter in the effective nucleon-nucleon potential and it is shown that the asymmetry should decrease with increasing $A$. A comparison of the ${}_{}{}^3{}_{}{}^{}\mathrm{He}(p, {}_{}{}^2{}_{}{}^{}\mathrm{H})2p$ and ${}_{}{}^9{}_{}{}^{}\mathrm{Be}$(${}_{}{}^3{}_{}{}^{}\mathrm{H}$, ${}_{}{}^6{}_{}{}^{}\mathrm{He}$)${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ angular distributions illustrates this point. Finally, a prediction is made for the ratio of analyzing powers for the ${}_{}{}^6{}_{}{}^{}\mathrm{He}$+${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ and ${}_{}{}^6{}_{}{}^{}\mathrm{He}$+${}_{}{}^6{}_{}{}^{}\mathrm{Li}$*(3.56) final states.

NUCLEAR REACTIONS Antisymmetric scattering theory. Symmetry around 90° of $\sigma \left(\theta \right)$ for $a(b, c)c^{\prime }$ reactions derived for SU(4) invariant potentials. Angular symmetry breakdown related to size of SU(4) breaking potential through DWBA. Discussion of ${}_{}{}^3{}_{}{}^{}\mathrm{He}(p, d)2p$, ${}_{}{}^9{}_{}{}^{}\mathrm{Be}(t, {}_{}{}^6{}_{}{}^{}\mathrm{He}){}_{}{}^6{}_{}{}^{}\mathrm{Li}\left({}_{}{}^6{}_{}{}^{}\mathrm{Li}_{}^{*}{}_{}{}^{}\right)$, and ${}_{}{}^9{}_{}{}^{}\mathrm{Be}(\overrightarrow{\mathrm{t}}, {}_{}{}^6{}_{}{}^{}\mathrm{He}){}_{}{}^6{}_{}{}^{}\mathrm{Li}\left({}_{}{}^6{}_{}{}^{}\mathrm{Li}_{}^{*}{}_{}{}^{}\right)$ reactions.

The distribution of Gamow-Teller strength in the ${}_{}{}^{18}{}_{}{}^{}\mathrm{O}(p, n){}_{}{}^{18}{}_{}{}^{}\mathrm{F}$ reaction was studied at a bombarding energy of 135 MeV. Five $1^{+}$, $T=0\mathrm{}$ states are identified below $E_x=7\mathrm{}$ MeV and a concentration of $1^{+}$ states of presumed $T=1\mathrm{}$ character is observed between $E_x=9.5\mathrm{} \mathrm{and} 12$ MeV. Approximately 82% of the $1^{+}$ strength is concentrated into the ground-state transition and only 5.5% is seen in the $T=1\mathrm{}$ component. Normalization of the ground-state transition to the known Gamow-Teller matrix element from the analogous beta decay of ${}_{}{}^{18}{}_{}{}^{}\mathrm{Ne}$ allows the ($p, n$) cross sections to be related to the Gamow-Teller strength. The resulting total Gamow-Teller strength observed in the ($p, n$) reaction is about two-thirds of the minimum value required by the sum rule for a $T=1\mathrm{}$ nucleus. This result is in reasonable agreement with the total Gamow-Teller strength predicted from a shell-model calculation which uses empirically renormalized single-particle Gamow-Teller matrix elements. The concentration of the $T=0\mathrm{}$ strength predominantly into the ground state and the observed ratio of $T=1\mathrm{}$ to $T=0\mathrm{}$ strength also are consistent with these calculations.

NUCLEAR REACTIONS ${}_{}{}^{18}{}_{}{}^{}\mathrm{O}(p, n){}_{}{}^{18}{}_{}{}^{}\mathrm{F}$, $E=135\mathrm{}$ MeV; neutron spectra measured in ∼3° steps between 0° and 69°; angular distributions extracted for separate transitions. Strengths of forward-peaked transitions compared with shell-model predictions of Gamow-Teller strength.

$\alpha -\alpha$ quasifree scattering was investigated in the reaction ${}_{}{}^6{}_{}{}^{}\mathrm{Li}(\alpha , 2\alpha ){}_{}{}^2{}_{}{}^{}\mathrm{H}$ as a function of energy of the incident $\alpha$ particles. In the energy range $E_{\alpha }=6.6\mathrm{} \mathrm{to} 13.0$ MeV 51 spectra under kinematically complete conditions were obtained at symmetrical angles such that the spectator momentum $p_{5L}=0\mathrm{}$. The widths and magnitudes of the spectator momentum distributions are strongly energy dependent. This dependence can be reproduced by a plane wave impulse approximation modified by a reflection coefficient calculated semiclassically in WKB approximation.

NUCLEAR REACTIONS ${}_{}{}^6{}_{}{}^{}\mathrm{Li}(\alpha , 2\alpha ){}_{}{}^2{}_{}{}^{}\mathrm{H}$, $E_{\alpha }=6.6-13.0\mathrm{}$ MeV, ${\ominus }_{\alpha 1}={\ominus }_{\alpha 2}=90\mathrm{}°$, ${\Phi }_{\alpha 1}=0\mathrm{}°$, ${\Phi }_{\alpha 2}=180\mathrm{}°$ (c.m. in quasifree subsystem); measured $\frac{d^3\sigma }{d{\Omega }_{3}d{\Omega }_4\mathrm{dE}}({\ominus }_3, {\Phi }_3, {\ominus }_4, {\Phi }_4, E_{1L})$; deduced spectator momentum distributions at 51 energies; deduced modified PWIA.

A numerically self-consistent solution for the recently proposed field theoretical $\pi N$ $p$-wave separable model was found by the method of singular integral equations. The method of solution and form factors will be presented.

NUCLEAR REACTIONS Solution by singular integral equation, self-consistent form factor.

The Chandler-Gibson $N$-body scattering formalism is shown to be related to the one of Baer, Kouri, Levin, and Tobocman in that both are the result of selecting a set of Lippmann-Schwinger equations to serve as a set of simultaneous coupled integral equations for all the elements in a row or column of the transition operator matrix. The Baer, Kouri, Levin, and Tobocman choice has the advantage that the equations decouple on iteration to give a set of uncoupled connected kernel equations whereas the Chandler-Gibson choice has the advantage of coupling the partitions in a symmetrical manner. This might cause the Chandler-Gibson formalism to be less sensitive than the Baer, Kouri, Levin, and Tobocman formalism to truncations on the spectrum of allowed intermediate virtual states. The Chandler-Gibson formalism is shown to be consistent with unitarity provided the coupling scheme includes all open channels. An alternative method for introducing projectors into the Chandler-Gibson formalism is suggested as a method for generating connected kernel equations. The Chandler-Gibson wave function equations are derived and compared to the coupled reaction channels equations. Finally, we show that like the Baer, Kouri, Levin, and Tobocman equations, the Chandler-Gibson equations decouple and, in fact, reduce to a single wave operator equation of particularly simple form.

NUCLEAR REACTIONS Chandler-Gibson $N$-body formalism—unitarity, kernel connectivity, introduction of projection operators, wave function equations, decoupling, comparison with CRC and BKLT formalisms.

The $\mathrm{VNN}$ sector of the nonstatic Lee model is investigated as a prototype of the three-nucleon $\mathrm{pnn}$ system, leading to an effective three-body Hamiltonian with a new kind of disconnected three-body force. The solution of the disconnectedness problem is presented in terms of modified Faddeev equations. The state vectors of the deuteron and triton are constructed and scattering amplitudes for reactions $n+p\to n+p$, $n+p\to n+n+{\pi }^{+}$, and $n+d\to n+d$ are derived. All effects of off-shell renormalization are included in a complete and consistent way.

NUCLEAR REACTIONS Lee model, $\mathrm{VNN}$ sector, model of deuteron and triton, $N+V\to N+V$, $N+V\to N+N+\Theta$, $N+d\to N+d$ reactions, renormalization, off-shell effects, effective interactions, Faddeev equations.

States in ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$ were populated with the ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}(t, 2n)$ reaction. Incident triton energies between 11 and 16 MeV were used. Gamma-ray excitation functions, angular distributions, and $\gamma -\gamma$-time coincidence spectra were measured. Approximately 50 newly-observed $\gamma$ rays have been assigned to transitions in ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$. Previously-unresolved doublets at $E_x=2600, 3135, \mathrm{and} 3154$ keV have been identified. A new level at 3270 keV is reported, and the 3197-keV level is verified. ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$ level energies are reported with an accuracy of 600 eV or less. A level scheme for $E_x<4.14\mathrm{}$ MeV is presented, including spin-parity assignments. A new $M1\mathrm{}$ transition between the ${\frac{5}{2}}^{+}$ and ${\frac{3}{2}}^{+}$ members of the $\pi h_{\frac{9}{2}}\otimes 3^{-}$ septuplet is reported. The 19 levels belonging to the $\nu g_{\frac{9}{2}}{p_{\frac{1}{2}}}^{-1\mathrm{}}$, $\pi h_{\frac{9}{2}}$ are identified.

NUCLEAR REACTIONS ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}(t, 2n\gamma ){}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$, $E_t=11-16\mathrm{}$ MeV. Measured $E_{\gamma }$, $I_{\gamma }\left(\theta \right)$, excitation functions, $\gamma \gamma t$ coinc. Deduced levels $E$, $J^{\pi }$, core-coupled multiplet structure.

The ${}_{}{}^{208,206,204}{}_{}{}^{}\mathrm{Pb}(p, t){}_{}{}^{206,204,202}{}_{}{}^{}\mathrm{Pb}$ reactions have been studied at an incident energy of 51.9 MeV. With the aid of distorted-wave Born approximation calculations a number of spin and parity assignments were made. Systematic trends were observed in the experimental excitation energy of individual levels in the residual nuclei and transition strengths for three reactions. These results are compared with predictions from the shell-model wave functions. The overall agreement is satisfactory.

NUCLEAR REACTIONS ${}_{}{}^{208,206,204}{}_{}{}^{}\mathrm{Pb}(p, t)$, $E_p=51.9\mathrm{}$ MeV; measured $\sigma (E_t, \theta )$; deduced energies, spins, parities, and strengths; DWBA analysis; enriched targets and shell-model calculation.

Microscopic calculations of the second-order imaginary optical potential are made for ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}(n, n)$, ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}(p, p)$, and ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}(\alpha , \alpha )$ at various incident energies using random phase approximation transition densities for intermediate excited states. Elastic scattering cross sections are calculated from the microscopic nonlocal potentials and are compared to cross sections which have been calculated from the equivalent local potentials. The validity of the local approximation to the nonlocal potentials is discussed.

NUCLEAR REACTIONS ($p, p$), ($n, n$), and ($\alpha , \alpha$) scattering: calculated imaginary optical potentials and elastic scattering cross sections.

Angular distributions of ${}_{}{}^{58}{}_{}{}^{}\mathrm{Ni}({}_{}{}^3{}_{}{}^{}\mathrm{He}, d){}_{}{}^{59}{}_{}{}^{}\mathrm{Cu}$ transitions leading to the (0.0 MeV, ${\frac{3}{2}}^{-}$), (0.91 MeV, ${\frac{5}{2}}^{-}$), and (3.04 MeV, ${\frac{9}{2}}^{+}$) states in ${}_{}{}^{59}{}_{}{}^{}\mathrm{Cu}$ have been measured at an incident energy of 130 MeV. The experimental data have been used to study mainly the role of the ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ optical model potential ambiguity in the distorted-wave Born approximation description of the reaction. Satisfactory fits to the data are obtained using a deep helion potential in standard local zero-range calculations. For a shallow ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ potential a comparable description can be achieved if the depth of the real part of the deuteron optical potential is reduced considerably, and nonlocality as well as finite-range corrections are taken into account. Under these conditions, the use of a ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ potential constructed according to the Johnson-Soper prescription yields similar results.

NUCLEAR REACTIONS ${}_{}{}^{58}{}_{}{}^{}\mathrm{Ni}({}_{}{}^3{}_{}{}^{}\mathrm{He}, d){}_{}{}^{59}{}_{}{}^{}\mathrm{Cu}$, $E=130\mathrm{}$ MeV; measured $\frac{d\sigma \left(\theta \right)}{d\Omega }$. Enriched target; DWBA analysis; discussed reaction mechanism.

We present in detail the description and the analysis of two independent experiments using beams of ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ and ${}_{}{}^{56}{}_{}{}^{}\mathrm{Fe}$. From their results it is concluded that the reaction mean free paths of relativistic projectile fragments, $3\le Z\le 26$, are shorter for a few centimeters after emission than at large distances, where they are compatible with values predicted from experiments on beam nuclei. The probability that this effect is due to a statistical fluctuation is <${10}^{-3\mathrm{}}$. The effect is enhanced in later generations of fragments, the correlation between successive generations suggesting a kind of "memory" for the anomaly. Various systematic and spurious effects as well as conventional explanations are discussed, mainly on the basis of direct experimental observations internal to our data, and found not to explain our results. The data can be interpreted by the relatively rare occurrence of anomalous fragments that interact with an unexpectedly large cross section. The statistical methods used in the analysis of the observations are fully described.

NUCLEAR REACTIONS ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ and ${}_{}{}^{56}{}_{}{}^{}\mathrm{Fe}$ at $2A$ GeV on emulsion nuclei; reaction mean free paths of primary beams and projectile fragments measured and compared.

A giant resonance in ${}_{}{}^{27}{}_{}{}^{}\mathrm{Si}$ is observed in the excitation energy region of 10-18 MeV in the spin-isospin flip ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$(${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{He}$)${}_{}{}^{27}{}_{}{}^{}\mathrm{Si}$ reaction. A microscopic distorted-wave Born approximation analysis using a $G$-matrix nucleon-nucleon force and a local energy approximation knockout exchange correction indicates multipolarities between $\lambda =3\mathrm{}$ and $\lambda =5\mathrm{}$ for the giant resonance.

NUCLEAR REACTIONS ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$(${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, ${}_{}{}^6{}_{}{}^{}\mathrm{He}$)${}_{}{}^{27}{}_{}{}^{}\mathrm{Si}$, $E=93\mathrm{}$ MeV; measured $\frac{d\sigma }{d\Omega \left(\theta \right)}$, low-lying states, giant resonance; DWBA analysis, deduced $\lambda$ multipolarity.

Comparison with a recent experiment suggests that the yield functions of the firestreak model be redefined. The modified yield functions give better fits to inclusive cross section data.

NUCLEAR REACTIONS Firestreak; geometrical yields; clean knockout; multiple collisions; inclusive cross sections.

The nuclear $g$ factors of the ${\frac{17}{2}}^{-}$ and ${\frac{21}{2}}^{+}$ isomeric states in ${}_{}{}^{91}{}_{}{}^{}\mathrm{Mo}$ excited by pulsed heavy-ion reactions have been measured by the time-differential perturbed $\gamma$-ray angular distribution method. The spin precession of these isomers was observed in the hyperfine field of Mo recoil implanted into ferromagnetic Ni. The field was calibrated using a ${}_{}{}^{90}{}_{}{}^{}\mathrm{Mo}$ isomer of known $g$ factor. The results are $g\left({\frac{17}{2}}^{-}\right)=+0.531\mathrm{}\left(7\right)\mathrm{}$ and $g\left({\frac{21}{2}}^{+}\right)=+0.839\mathrm{}\left(8\right)\mathrm{}$, which can be well described in the framework of multiparticle shell model states using effective $g$ factors of single particle states and the additivity relation.

NUCLEAR REACTIONS ${}_{}{}^{78}{}_{}{}^{}\mathrm{Se}({}_{}{}^{16}{}_{}{}^{}\mathrm{O}, 3n){}_{}{}^{91}{}_{}{}^{}\mathrm{Mo}$; ${}_{}{}^{77}{}_{}{}^{}\mathrm{Se}({}_{}{}^{16}{}_{}{}^{}\mathrm{O}, 3n){}_{}{}^{90}{}_{}{}^{}\mathrm{Mo}$; $E=53-55\mathrm{}$ MeV; recoil implantation in Ni; measured $I_{\gamma }(\theta , H, t)$, hyperfine field $\mathrm{Mo}\mathrm{Ni}$ and $g$ factors of isomers; Ge(Li) detectors, enriched targets ${}_{}{}^{77}{}_{}{}^{}\mathrm{Se}$ and ${}_{}{}^{78}{}_{}{}^{}\mathrm{Se}$.

Calculations for ${}_{}{}^7{}_{}{}^{}\mathrm{Li}$ elastic scattering at 88 MeV have been made explicitly including a quadrupole term in the optical potential resulting from folding of an effective nucleon-nucleon interaction with the quadrupole deformation of ${}_{}{}^7{}_{}{}^{}\mathrm{Li}$. Data for ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ca}$ could be fitted without a renormalization of the folded potential, but this was not possible for lighter targets which required a renormalization of about 0.6 even when the quadrupole potential was included.

NUCLEAR REACTIONS ${}_{}{}^7{}_{}{}^{}\mathrm{Li}$ + ${}_{}{}^{24,26}{}_{}{}^{}\mathrm{Mg}$, ${}_{}{}^{40,48}{}_{}{}^{}\mathrm{Ca}$, $E=88\mathrm{}$ MeV. Double-folding model analysis, quadrupole potentials.

The ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$+${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ resonance structure in the ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ nucleus is examined by means of the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}({}_{}{}^{16}{}_{}{}^{}\mathrm{O}, \alpha ){}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ reaction excitation functions in the energy range $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=26.6\mathrm{} \mathrm{to} 42.9$ MeV in 430 keV steps at ${\theta }_{\mathrm{lab}}=7.5\mathrm{}°$. We could identify 64 discrete states in ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ up to 31.7 MeV of excitation energy. The excitation functions show abundant structure over the entire energy range. The summed excitation functions, which tend to average out statistical fluctuations, show pronounced intermediate structure enhancement in the cross section at $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}\simeq 29.5$, 32.2, and 35 MeV and indicate the presence of a smaller peak at 37.3 MeV. The widths of these structures are about 1 MeV, which is intermediate between the value expected from ion-ion potential resonances and statistical fluctuations. The nonstatistical character of these structures is reinforced by some statistical tests and by the correlations in energy and width found in several exit channels. Our data also suggest a possible structural relationship between the ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ resonances and certain ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ final states.

NUCLEAR REACTIONS ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}({}_{}{}^{16}{}_{}{}^{}\mathrm{O}, \alpha ){}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}_{}^{*}{}_{}{}^{}$; measured $\sigma \mathrm{}\left(E\right)\mathrm{}$ to states up to 31.7 MeV of excitation energy for $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=26.6\mathrm{} \mathrm{to} 42.9$ MeV in 430 keV steps, ${\theta }_{\mathrm{lab}}=7.5\mathrm{}°$. Nonstatistical structure observed.

Prominent gross and intermediate width structures are observed in the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$+${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$+${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$*($2^{+}$), ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$*($2^{+}$)+${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$*($2^{+}$), ${}_{}{}^8{}_{}{}^{}\mathrm{Be}$+${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, and ${}_{}{}^8{}_{}{}^{}\mathrm{Be}$+${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$* ($3^{-}$,$0^{+}$) decay channels following ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$* population via the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}({}_{}{}^{16}{}_{}{}^{}\mathrm{O}, \alpha ){}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ reaction at $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=33\mathrm{}$ MeV. Evidence that the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}({}_{}{}^{16}{}_{}{}^{}\mathrm{O}, \alpha ){}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ reaction populates states in ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ which are associated with ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$+${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ resonances is presented in the form of correlation analyses between the $\alpha$+${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$+${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ three-body spectra and previously measured ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$+${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ elastic and inelastic excitation functions. Direct determination of ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$+${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ widths from these measurements is obscured by a background of other strong transitions which appear to be present in the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}({}_{}{}^{16}{}_{}{}^{}\mathrm{O}, \alpha ){}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ singles spectrum.

NUCLEAR REACTIONS ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}({}_{}{}^{16}{}_{}{}^{}\mathrm{O}, \alpha ){}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}_{}^{*}{}_{}{}^{}\to X+Y$; measured $\sigma \left(\alpha XY\right)$ three body coincidence, fission widths of states in ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ between $E_x=20\mathrm{} \mathrm{and} 40$ MeV. Intermediate structure observed.

We present calculations of those structure functions of the nucleon which are measured in deep inelastic electron scattering. A quark model which preserves translational invariance is used. The model exhibits scaling and the structure functions satisfy the Callan-Gross relation in the scaling region. It is possible to fit the experimental values of $F_2^p\mathrm{}\left(x\right)-F_2^n\mathrm{}\left(x\right)\mathrm{}$ using wave functions that correspond to a relatively small region of confinement. The ratio of $\frac{F_2^n\mathrm{}\left(x\right)\mathrm{}}{F_2^p\mathrm{}\left(x\right)\mathrm{}}$ is also calculated. One can explain the deviation of the value of the latter quantity from the value $\frac{2}{3}$ obtained in the simplest quark model by allowing the neutron confinement radius to be about 10 percent larger than the corresponding proton radius. We also discuss the role of this radius modification in explaining the deviation of the ratio of the proton and neutron magnetic moments from the value of $-\frac{3}{2}$ obtained in standard quark models.

NUCLEAR STRUCTURE Translationally-invariant quark model of the nucleon; valence-quark contribution to nucleon structure functions; calculation of $F_2^p\mathrm{}\left(x\right)-F_2^n\mathrm{}\left(x\right)\mathrm{}$ and $\frac{F_2^n\mathrm{}\left(x\right)\mathrm{}}{F_2^p\mathrm{}\left(x\right)\mathrm{}}$.