Recent Articles

Fusion cross sections for the ${}^{165}{Ho}$ + ${}^{56}{Fe}$ reaction

J. R. Birkelund, A. D. Hoover, J. R. Huizenga, W. U. Schröder, and W. W. Wilcke

Phys. Rev. C 27, 882 (1983) - Published 1 February, 1983

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Fusion cross sections are reported for the ${}^{165}{Ho}$ + ${}^{56}{Fe}$ reaction at bombarding energies of 351, 421, 462, and 510 MeV. These results, along with those for the ${}^{165}{Ho}$ + ${}^{40}{Ar}$ and ${}^{165}{Ho}$ + ${}^{84}{Kr}$ reactions, are in agreement with a recent model of Swiatecki.

NUCLEAR REACTIONS ${}^{165}{Ho}$ ( ${}^{56}{Fe}$ , fusion-fission), $E_{lab} = 351, 421, 462, and 510$ MeV. Deduced fusion cross sections; comparison to dynamical calculations.

Prefusion emission of protons from the ${}^{12}C$ + ${}^{12}C$ system

L. Zybert, R. Zybert, C. Alderliesten, A. Becker, C. P. M. van Engelen, and R. Kamermans

Phys. Rev. C 27, 886 (1983) - Published 1 February, 1983

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The present paper reports on a further study of the prefusion proton emission from the ${}^{12}C$ + ${}^{12}C$ system, observed for some low-lying and low-spin states in ${}^{23}{Na}$ . Excitation functions for the ${}^{12}C ({}^{12}C, p) {}^{23}{Na}$ reaction leading to low excited states in ${}^{23}{Na}$ are reported for energy regions from 29.0 to 31.0 MeV (lab) in 100 keV steps and from 34.8 to 36.8 MeV (lab) in 200 keV steps. No correlated structure in these excitation functions has been found; however, angular distributions measured at 12.0, 22.8, 25.4, and 35.8 MeV (lab) show new evidence for the nonstatistical process. The observed features are qualitatively explained within the framework of the prefusion model.

NUCLEAR REACTIONS ${}^{12}C ({}^{12}C, p) {}^{23}{Na}$ , $E = 12.0, 22.8, 25.4, 29.0 - 31.0, 34.8 - 36.8$ MeV; measured $σ (E; θ)$ . Prefusion emission.

Alpha-particle decay of ${}^{162}{Hf}$ , ${}^{157}{Lu}$ , and ${}^{158}{Lu}$

K. S. Toth

Phys. Rev. C 27, 889 (1983) - Published 1 February, 1983

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The $α$ -particle decays of ${}^{162}{Hf}$ and of ${}^{157, 158}{Lu}$ were investigated in bombardments of ${}^{144, 147}{Sm}$ by ${}^{20}{Ne}$ and ${}^{19}F$ ions, respectively. The characteristics of these $α$ emitters are as follows: (1) ${}^{162}{Hf}$ , $E_{α} = 4.311 (10)$ MeV, $T_{\frac{1}{2}} \sim 40$ sec; (2) ${}^{157}{Lu}$ , $E_{α} = 4.999 (5)$ MeV, $T_{\frac{1}{2}} = 5.0 (5)$ sec; and (3) ${}^{158}{Lu}$ , $E_{α} = 4.666 (5)$ MeV, $T_{\frac{1}{2}} = 9 (2)$ sec. These data are compared with values available in the literature.

RADIOACTIVITY ${}^{162}{Hf}$ , ${}^{157}{Lu}$ , ${}^{158}{Lu}$ measured $T_{\frac{1}{2}}$ , $E_{α}$ , $I_{α}$ .

Mass of ${}^{104}{Cd}$

R. A. Dewberry, R. T. Kouzes, and R. A. Naumann

Phys. Rev. C 27, 892 (1983) - Published 1 February, 1983

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A quadrupole-dipole-dipole-dipole spectrograph has been used with a 34.6 MeV proton beam to observe the ${}^{106}{Cd} (p, t) {}^{104}{Cd}$ reaction. The $Q$ value is measured and a mass excess of -83 963(14) keV is inferred for ${}^{104}{Cd}$ .

NUCLEAR REACTIONS ${}^{106}{Cd} (p, t) {}^{104}{Cd}$ , $E = 34.6$ MeV; $Q$ value measured; mass excess inferred.

Ratio of pion-induced nucleon removal cross sections involving charge exchange

E. Piasetzky and Richard R. Silbar

Phys. Rev. C 27, 894 (1983) - Published 1 February, 1983

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The reduction in the ratio $\frac{σ (π^{+}, π^{+} p)}{σ (π^{+}, π^{0} p)}$ on light nuclei from the free $π N \to π N$ ratio value can be understood in a semiclassical model as an effect due to pion charge exchange before or after the hard $π N$ knockout collision.

NUCLEAR REACTIONS $σ (π, π N)$ ratios, light $N = Z$ nuclei; nucleon and pion charge exchange.

Influence of $α$ -cluster formation on $α$ decay

F. A. Janouch and R. J. Liotta

Phys. Rev. C 27, 896 (1983) - Published 1 February, 1983

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Self-consistency requirement at the Fermi surface in Brueckner theory with a continuous auxiliary potential

R. Sartor

Phys. Rev. C 27, 899 (1983) - Published 1 February, 1983

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We derive the self-consistency requirement at the Fermi surface for the auxiliary potential which appears in the continuous version of Brueckner theory. In contrast with a previous proof which relied on the analytical properties of the nuclear matter mass operator, the present derivation is based on the cancellation of the singularities which appear in diagrams each time one uses a continuous auxiliary potential. Hence it applies to any nuclear matter quantity, in particular, to the nuclear matter binding energy which is discussed here.

NUCLEAR STRUCTURE Brueckner theory, nuclear matter continuous auxiliary potential, self-consistency condition.

Symmetry relations between the polarization, analyzing power, and spin rotation functions in ( $p, p^{'}$ ) reactions

E. Bleszynski, M. Bleszynski, and C. A. Whitten, Jr.

Phys. Rev. C 27, 902 (1983) - Published 1 February, 1983

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The symmetries of the collision matrix for the ( $p, p^{'}$ ) reaction are studied in the framework of the adiabatic (frozen nucleus) approximation. Two examples of resulting relationships between the proton polarization observables are discussed in detail. The equality of the polarization and the analyzing power is found as well as the relations between the spin rotation functions.

NUCLEAR REACTIONS Relations between scattering observables for ( $p, p^{'}$ ) reactions in the adiabatic approximation.

RAPID COMMUNICATION

Search for parity nonconservation in the reaction ${}^{19}F (\vec{p}, α_{0}) {}^{16}O$

N. Kniest, E. Huttel, J. Günzl, G. Clausnitzer, P. G. Bizzeti, P. R. Maurenzig, and N. Taccetti

Phys. Rev. C 27, 906(R) (1983) - Published 1 February, 1983

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The reaction ${}^{19}F (\vec{p}, α_{0}) {}^{16}O$ was used to study a parity and isospin forbidden $α$ transition. The $1^{+}$ , 1 state in ${}^{20}{Ne}$ ( $E_{x} = 13.482$ MeV, $Γ = 6$ keV) was populated by capture of transversally polarized protons. Placing the quantization axis in the reaction plane, the "irregular" analyzying power $A^{PNC}$ was determined. No relevant deviation from zero was observed within a statistical accuracy of $Δ A^{PNC} = 1.1 \times 10^{- 3}$ . An upper limit for the irregular width of the $1^{+}$ level $Γ_{α}^{PNC} < 6 \times 10^{- 6}$ eV was determined.

NUCLEAR REACTIONS ${}^{19}F (\vec{p}, α_{0}) {}^{16}O$ , measured parity nonconserving analyzing power, deduced irregular $α_{0}$ decay width of ${}^{20}{Ne}$ ( $1^{+}$ , 1) state at $E_{x} = 13.482$ MeV.

RAPID COMMUNICATION

Pion source parameters in Ar on KCl collisions

D. Beavis, S. Y. Fung, W. Gorn, A. Huie, D. Keane, J. J. Lu, R. T. Poe, B. C. Shen, and G. VanDalen

Phys. Rev. C 27, 910(R) (1983) - Published 1 February, 1983

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The space-time structure of the pion-emitting source for central collisions of Ar on KCl at 1.5 GeV/nucleon is studied. The fireball is found to be nearly spherical with a radius $R = 4.9 \pm 0.5$ fm. No significant dependence on pion multiplicity is present. A dependence on pion energy is observed.

NUCLEAR REACTIONS ${}^{40}{Ar}$ (KCl) $E_{lab} = 1.5$ GeV/nucleon. Measured two- $π^{-}$ correlations. Interferometry analysis deduced, size, shape, coherence of $π^{-}$ emission source.

Photoneutron cross section for ${}^{16}O$

B. L. Berman, J. W. Jury, J. G. Woodworth, R. E. Pywell, K. G. McNeill, and M. N. Thompson

Phys. Rev. C 27, 1 (1983) - Published 1 January, 1983

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The photoneutron cross section for ${}^{16}O$ has been measured with monoenergetic photons from 17 to 33 MeV. This measurement was carried out by subtracting the photoneutron yield for Si from that for Si $O_{2}$ , thus reducing the uncertainty in the neutron detection efficiency associated with the neutron moderation by the hydrogen in a water sample. The present cross-section results agree with the mean of several previous measurements with monoenergetic photons, and resolve a prior discrepancy at the 22.1-MeV peak. The measured average photoneutron energy is quite large in the photon energy region from 26 to 28 MeV, signifying that ground-state transitions dominate the ( $γ, n$ ) cross section there.

NUCLEAR REACTIONS ${}^{16}O (γ, n)$ , measured cross section and average photoneutron energy up to 33 MeV, monoenergetic photons.

Cross section of the capture reaction ${}^{3}{He} (α, γ) {}^{7}{Be}$

R. G. H. Robertson, P. Dyer, T. J. Bowles, Ronald E. Brown, Nelson Jarmie, C. J. Maggiore, and Sam M. Austin

Phys. Rev. C 27, 11 (1983) - Published 1 January, 1983

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The cross sections for the astrophysically significant reactions ${}^{3}{He} (α, γ) {}^{7}{Be}$ and ${}^{4}{He} ({}^{3}{He}, γ) {}^{7}{Be}$ have been measured near 900 keV in the center of mass by measuring the activity of ${}^{7}{Be}$ produced in a gas cell. The results imply a zero-energy cross-section factor $S (0)$ of 0.63(4) keV b, consistent with the larger of previous measurements. Extant values of $S (0)$ are reviewed and a recommended value for use in stellar evolution calculations is presented.

NUCLEAR REACTIONS ${}^{3}{He} (α, γ) {}^{7}{Be}$ , ${}^{4}{He} ({}^{3}{He}, γ) {}^{7}{Be}$ , $E_{c . m .} = 897$ keV, measured $σ$ , deduced astrophysical capture cross section.

Elastic and inelastic electron scattering from ${}^{50, 52, 54}{Cr}$

J. W. Lightbody, Jr., J. B. Bellicard, J. M. Cavedon, B. Frois, D. Goutte, M. Huet, Ph. Leconte, A. Nakada, Phan Xuan Ho, S. K. Platchkov, S. Turck-Chieze, C. W. de Jager, J. J. Lapikás, and P. K. A. de Witt Huberts

Phys. Rev. C 27, 113 (1983) - Published 1 January, 1983

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Elastic and inelastic electron scattering cross sections are given for ${}^{50, 52, 54}{Cr}$ at momentum transfers between 0.15 and 2.6 ${fm}^{- 1}$ . Ground state charge distributions are derived from a combined analysis of these data and muonic atom data. Deduced values of the rms charge radii are given. Comparison is made between the experimental charge distributions and density dependent Hartree-Fock-Bogolyubov calculations. Inelastic scattering form factors for $2^{+}$ , $4^{+}$ , and $6^{+}$ states up to 4 MeV excitation are given along with shell model and phenomenological model fits to those data, $B (EL)$ values, multipole dependence of effective charges, and other model parameters.

NUCLEAR REACTIONS ${}^{50, 52, 54}{Cr} (e, e^{'})$ , $E = 30 - 400$ MeV. Measured $σ (E, θ)$ . Deduced ground state charge distributions compared to Hartree-Fock. Deduced inelastic form factors compared to shell model.

Total cross section of vanadium for neutrons of 4.4 to 15.7 m/sec

J. A. Polo and J. M. Robson

Phys. Rev. C 27, 133 (1983) - Published 1 January, 1983

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The total cross section of vanadium has been measured over the velocity range from 4.4 to 15.7 m/sec using a time of flight spectrometer. This corresponds to an energy range from 1 × $10^{- 7}$ to 1.3 × $10^{- 6}$ eV. The nuclear absorption cross section was obtained by correcting the total cross section for incoherent elastic and thermal inelastic scattering and is consistent with the $\frac{1}{v}$ law. Over the measured energy range we find $σ_{abs} E^{\frac{1}{2}} = 0.825 \pm 0.023$ be $V^{½}$ .

NUCLEAR REACTIONS $V (n, γ n)$ , $v = 4.4 - 15.7$ m/sec; measured $σ_{tot}$ , deduced $σ_{abs} E^{\frac{1}{2}}$ .

Multiplicity selection in high-energy heavy-ion collisions

T. C. Awes and C. K. Gelbke

Phys. Rev. C 27, 137 (1983) - Published 1 January, 1983

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The effect of multiplicity selection on coincident single-particle distributions has been simulated for a " $2 π$ " multiplicity detector for several well-defined hypothetical events. It is shown that, in some instances, the single-particle distributions may be significantly distorted by the phase-space constraints of the multiplicity selection. The reaction ${}^{20}{Ne}$ + U at $\frac{E}{A} = 400$ MeV has been simulated using a full fireball calculation which incorporates the kinematic effects of multiplicity selection. The calculation does not reproduce the recently observed enhanced sidewards emission of light particles.

NUCLEAR REACTIONS ${}^{20}{Ne}$ +U at $\frac{E}{A} = 400$ MeV; Monte Carlo simulation of detection process, fireball model, multiplicity selection.

Inelastic excitation and spin flip in heavy ion reactions

S. Chakravarti, P. J. Ellis, B. F. Bayman, and Q. K. K. Liu

Phys. Rev. C 27, 143 (1983) - Published 1 January, 1983

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Coupled channel calculations were carried out for the inelastic scattering of ${}^{13}C$ on ${}^{24}{Mg}$ using form factors generated in a single folding model. We studied the population probability $P_{1}$ for ${}^{24}{Mg}$ in the 1.37 MeV $2^{+}$ level with $| m | = 1$ and ${}^{13}C$ in its ground state. Using spin-independent potentials the excitation of various states in ${}^{13}C$ gave rise to a maximum $P_{1} (6 °)$ of 0.2%. This increased to 0.3% when spin-dependence was allowed for in an approximate manner. At 10° the calculations fell significantly short of the experimental data. Large polarizations were found when excited states of ${}^{13}C$ were populated; these effects are discussed.

NUCLEAR REACTIONS ${}^{13}C$ + ${}^{24}{Mg}$ inelastic scattering, $E = 35$ MeV; coupled channel study of $| m | = 1$ population probability for the ${}^{24}{Mg}$ 1.37 MeV $2^{+}$ level and polarization phenomena.

Lifetimes of levels in ${}^{20, 21}F$ , ${}^{22}{Ne}$ , and ${}^{16}N$

R. L. Kozub, J. Lin, J. F. Mateja, C. J. Lister, D. J. Millener, J. W. Olness, and E. K. Warburton

Phys. Rev. C 27, 158 (1983) - Published 1 January, 1983

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The recoil distance method has been used to measure the mean lifetime of the $J^{π} = {\frac{9}{2}}^{+}$ 1755-keV level of ${}^{21}F$ , formed (predominantly) via the ${}^{7}{Li} ({}^{18}O, α) {}^{21}F$ fusion-evaporation reaction. The lifetimes of the 984- and 1309-keV levels of ${}^{20}F$ and the 1275-keV level of ${}^{22}{Ne}$ were obtained coincidentally. Similar measurements in the ${}^{7}{Li} ({}^{11}B, p n) {}^{16}N$ reaction determine the lifetimes of the 298- and 397-keV levels of ${}^{16}N$ . Data were acquired at $θ_{γ} = 0 °$ using an escape suppression spectrometer, with ${}^{18}O$ and ${}^{11}B$ incident energies of 28.5 and 15.3 MeV, respectively. The experimental results are the following: ${}^{16}N$ (298, $3^{-}$ ), $τ = 133 \pm 4$ ps; ${}^{16}N$ (397, $1^{-}$ ), $τ = 6.60 \pm 0.48$ ps; ${}^{20}F$ (984, $1^{-}$ ), $τ = 1.8 \pm 0.3$ ps; ${}^{20}F$ (1309, $2^{-}$ ), $τ = 1.9 \pm 0.3$ ps; ${}^{21}F (1755, {\frac{9}{2}}^{+})$ , $τ = 3.5 \pm 0.5$ ps; ${}^{22}{Ne}$ (1275, $2^{+}$ ), $τ = 5.1 \pm 0.2$ ps. Shell-model calculations for ${}^{16}N$ and ${}^{20, 21}F$ have been performed and are compared to experimental results.

NUCLEAR REACTIONS ${}^{7}{Li}$ + ${}^{18}O$ , $E ({}^{18}O) = 10 - 60$ MeV; ${}^{7}{Li}$ + ${}^{11}B$ , $E ({}^{11}B) = 7 - 35$ MeV; measured $E_{γ}$ , $I_{γ}$ (recoil distance method); deduced $τ ({}^{20, 21}F, {}^{22}{Ne}, {}^{16}N)$ ; calculated $B (ML)$ from theory and compared to experiment.

Band structure and coupling modes in doubly-odd transitional ${}^{104 - 102}{Ag}$

J. Tréherne, J. Genevey, S. André, R. Béraud, A. Charvet, R. Duffait, A. Emsallem, M. Meyer, C. Bourgeois, P. Kilcher, J. Sauvage, F. A. Beck, and T. Byrski

Phys. Rev. C 27, 166 (1983) - Published 1 January, 1983

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Levels in ${}^{104}{Ag}$ and ${}^{102}{Ag}$ were studied using mainly the ${}^{94}{Mo} ({}^{12}C, p n)$ and the ${}^{89}Y ({}^{16}O, 3 n)$ reactions, respectively. A set of standard in-beam measurements involving relative excitation functions of $γ$ rays, $γ - γ - t$ coincidences, conversion electrons, angular distributions, and linear polarization of emitted $γ$ rays have been performed. Excited states with spin values up to $17^{-}$ and $14^{-}$ are populated in ${}^{104}{Ag}$ and ${}^{102}{Ag}$ , respectively. The experimental data are discussed in the framework of the axial plus two quasiparticle model and some simple rules have been deduced to interpret the behavior of odd-odd transitional nuclei at high angular momentum.

NUCLEAR STRUCTURE ${}^{94}{Mo} ({}^{12}C, p n)$ , $E = 41 - 57$ MeV, ${}^{92}{Mo} ({}^{12}C, p n)$ , $E = 50$ MeV, ${}^{89}Y ({}^{16}O, 3 n)$ , $E = 60 - 80$ MeV, ${}^{92}{Mo} ({}^{14}N, 2 p 2 n)$ , $E = 72$ MeV; measured $I_{γ} [E ({}^{12}C)]$ , $I_{γ} [E ({}^{16}O)]$ , $I_{γ} (θ)$ , $P_{γ}$ , $γ - γ$ coin, $γ (t)$ , $E_{CE}$ , $I_{CE}$ . ${}^{104}{Ag}$ and ${}^{102}{Ag}$ deduced levels, $J$ , $π$ , ICC, $γ$ multipolarity, $t_{\frac{1}{2}}$ . Enriched ${}^{92, 94}{Mo}$ targets, Ge(Li) detectors, intrinsic Ge Compton polarimeter, electron orange spectrometer. Calculated levels from axial rotor plus two quasiparticle model.

Three-body reactions for a local potential in coordinate space

T. Sasakawa, J. Horáček, and T. Sawada

Phys. Rev. C 27, 18 (1983) - Published 1 January, 1983

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The three-body theory of reactions is formulated for local potentials in coordinate space on the basis of the Faddeev equation. The wave function is expressed as a sum of all possible channel wave functions. In solving, the physically important pole terms are taken as the zeroth order terms. The higher order terms are treated as the perturbation. The kernels that appear in the perturbational series are regular at the origin and confined in a finite region of space, thus enabling us to calculate the breakup process numerically. We can expect that this perturbational series is rapidly convergent. The equation is finally reduced to a coupled set of integral equations for the elastic and breakup amplitudes.

NUCLEAR REACTIONS Three-body model. The Faddeev equation for local potential in coordinate space. Coupled channels including breakup. Perturbational calculation. Physically important terms as lowest order terms. Anticipated rapid convergence.

High-spin states in ${}^{214}{Rn}$ , ${}^{216}{Ra}$ and a study of even-even $N = 128$ systematics

T. Lönnroth, D. Horn, C. Baktash, C. J. Lister, and G. R. Young

Phys. Rev. C 27, 180 (1983) - Published 1 January, 1983

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High-spin states in ${}^{214}{Rn}$ and ${}^{216}{Ra}$ have been studied by means of the reaction ${}^{208}{Pb} ({}^{13}C, α 3 n γ) {}^{214}{Rn}$ and ${}^{208}{Pb} ({}^{13}C, 5 n γ) {}^{216}{Ra}$ at beam energies in the range 75-95 MeV. In-beam spectroscopy techniques, including $γ$ -decay excitation functions, $α - γ$ coincidences, $γ - γ$ coincidences, $γ$ -ray angular distributions, and pulsed-beam- $γ$ timing, were utilized to establish level energies, $γ$ -ray multipolarities, $J^{π}$ assignments, and isomeric lifetimes. Excited states with spins up to $23 ℏ$ in ${}^{214}{Rn}$ and $\sim 30 ℏ$ in ${}^{216}{Ra}$ were observed. Isomers were found in ${}^{214}{Rn}$ at 1625 keV ( $T_{\frac{1}{2}} = 9$ ns, $J^{π} = 8^{+}$ ), 1787 keV (22 ns, $10^{+}$ ), 3485 keV (95 ns, 16), 4509 keV (230 ns, 20), and 4738 keV (8 ns, 22), and in ${}^{216}{Ra}$ at 1708 keV (8 ns, $8^{+}$ ) and 5868 keV (10 ns, ∼24). $B (EL)$ values were deduced and compared to previously known lead-region electric transition rates. Shell-model calculations were performed and used to make configurational assignments. The absence of major $α$ -decay branching in the isomers is explained and the systematic behavior of $N = 128$ even-even nuclei is discussed.

NUCLEAR STRUCTURE ${}^{208}{Pb} ({}^{13}C, α 3 n γ) {}^{214}{Rn}$ , ${}^{208}{Pb} ({}^{13}C, 5 n γ) {}^{216}{Ra}$ , $E_{lab} = 75 - 95$ MeV. Measured $α - γ$ coin, $γ - γ (t)$ coin, $I (θ)$ , pulsed-beam- $γ$ timing. Deduced level schemes, $J^{π}$ , $T_{\frac{1}{2}}$ , $B (EL)$ , multipolarities. Shell model calculations, Ge(Li) and Si detectors, enriched target.

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Fusion cross sections for the ${}^{165}{Ho}$ + ${}^{56}{Fe}$ reaction

Prefusion emission of protons from the ${}^{12}C$ + ${}^{12}C$ system

Alpha-particle decay of ${}^{162}{Hf}$ , ${}^{157}{Lu}$ , and ${}^{158}{Lu}$

Mass of ${}^{104}{Cd}$

Ratio of pion-induced nucleon removal cross sections involving charge exchange

Influence of $α$ -cluster formation on $α$ decay

Self-consistency requirement at the Fermi surface in Brueckner theory with a continuous auxiliary potential

Symmetry relations between the polarization, analyzing power, and spin rotation functions in ( $p, p^{'}$ ) reactions

Search for parity nonconservation in the reaction ${}^{19}F (\vec{p}, α_{0}) {}^{16}O$

Pion source parameters in Ar on KCl collisions

Photoneutron cross section for ${}^{16}O$

Cross section of the capture reaction ${}^{3}{He} (α, γ) {}^{7}{Be}$

Elastic and inelastic electron scattering from ${}^{50, 52, 54}{Cr}$

Total cross section of vanadium for neutrons of 4.4 to 15.7 m/sec

Multiplicity selection in high-energy heavy-ion collisions

Inelastic excitation and spin flip in heavy ion reactions

Lifetimes of levels in ${}^{20, 21}F$ , ${}^{22}{Ne}$ , and ${}^{16}N$

Band structure and coupling modes in doubly-odd transitional ${}^{104 - 102}{Ag}$

Three-body reactions for a local potential in coordinate space

High-spin states in ${}^{214}{Rn}$ , ${}^{216}{Ra}$ and a study of even-even $N = 128$ systematics

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