Recent Articles

Photodisintegration of the deuteron employing a supersoft core potential

M. L. Rustgi, T. S. Sandhu, and O. P. Rustgi

Phys. Rev. C 20, 24 (1979) - Published 1 July, 1979

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Employing the supersoft core potentials of deTourreil and Sprung, the differential cross section and polarization of the outgoing protons in the photodisintegration of the deuteron have been investigated for laboratory gamma-ray energies ranging from 10 to 150 MeV. The supersoft core potentials are found to give an appreciable decrease in the total cross section for the higher gamma-ray energies than when the Hamada-Johnston potential is used. These reductions in total cross section at higher energies are comparable with the increase obtained on including the effects of isobar configurations and meson exchange currents. The proton polarization is noticeably affected in $0 ° < θ_{c . m .} < 60 °$ at $E_{γ}^{lab} = 150$ MeV.

NUCLEAR REACTIONS ${}^{2}H (γ, n) p$ . Supersoft core potentials.

$π^{+}$ photoproduction near threshold on ${}^{3}{He}$

P. Argan, G. Audit, A. Bloch, N. de Botton, J. L. Faure, C. Schuhl, G. Tamas, C. Tzara, E. Vincent, J. Deutsch, D. Favart, R. Prieels, and B. Van Oystaeyen

Phys. Rev. C 20, 242 (1979) - Published 1 July, 1979

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The positive-pion photoproduction yield on ${}^{3}{He}$ was measured near threshold. The transition matrix element of this process is extracted with a ± 1.5% accuracy. We discuss the relation of our result, firstly, with magnetic electron scattering on ${}^{3}{He}$ and ${}^{3}H$ , secondly, with the properties of pionic ${}^{3}{He}$ atom.

NUCLEAR REACTION ${}^{3}{He}$ ( $γ$ , $π^{+}$ ) ${}^{3}H$ , measured $σ$ , $E = 1 - 5$ MeV.

Excitation of $E 1$ and $M 2$ resonances via ( $π^{-}$ , $γ$ ) reactions on ${}^{16, 18}O$

G. Strassner, P. Truöl, J. C. Alder, B. Gabioud, C. Joseph, J. F. Loude, N. Morel, A. Perrenoud, J. P. Perroud, M. T. Tran, E. Winkelmann, W. Dahme, H. Panke, D. Renker, and H. A. Medicus

Phys. Rev. C 20, 248 (1979) - Published 1 July, 1979

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The photon spectra from the reaction ${}^{16}O$ ( $π^{-}$ , $γ$ ) ${}^{16}N$ and ${}^{18}O$ ( $π^{-}$ , $γ$ ) ${}^{18}N$ were measured with a high-resolution pair spectrometer. Transitions to $2^{-}$ states having $T = 1$ in ${}^{16}N$ and $T = 2$ in ${}^{18}N$ appear to dominate. Excitation of $1^{-}$ states in the giant dipole resonance region, which are the analogs of the levels excited in photoabsorption and inelastic electron scattering on ${}^{16}O$ and ${}^{18}O$ , respectively, were also observed. The total and partial branching ratios for bound states and giant-resonance transitions are compared with shell-model predictions. Higher admixtures to the predominantly 1p-1h wave functions are found to be necessary to obtain agreement with the measured branching ratios. A new treatment of the continuum and resonance excitation, based on calculations of Ohtsubo et al., is compared with the data.

NUCLEAR REACTIONS Radiative pion capture; measured photon spectra for ${}^{16}O$ ( $π^{-}$ , $γ$ ) ${}^{16}N$ and ${}^{18}O$ ( $π^{-}$ , $γ$ ) ${}^{18}N$ ; deduced transitions and transition strength with $J^{π} = 1^{-}, 2^{-}$ and $T = 1$ and $T = 2$ respectively; comparison with shell-model calculations.

( $π$ , $π$ $N$ ) reactions on ${}^{25}{Mg}$ and ${}^{197}{Au}$

S. B. Kaufman, E. P. Steinberg, and G. W. Butler

Phys. Rev. C 20, 262 (1979) - Published 1 July, 1979

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Activation cross sections have been measured for the reactions ${}^{25}{Mg}$ ( $π^{\pm}$ , $π^{\pm} N$ ) ${}^{24}{Na}$ and ${}^{197}{Au}$ ( $π^{\pm}$ , $π^{\pm} N$ ) ${}^{196}{Au}$ between 100 and 300 MeV. The cross section ratios $R_{p} = \frac{σ (π^{+})}{σ (π^{-})}$ and $R_{p} = \frac{σ (π^{-})}{σ (π^{+})}$ are smaller than the corresponding free-particle ratios in all cases. Comparisons with the predictions of intranuclear cascade calculations and the nucleon charge-exchange model indicate that the former gives good agreement for a heavy nucleus but not for light nuclei, while the inverse is true for the latter model.

NUCLEAR REACTIONS ${}^{25}{Mg}$ ( $π^{\pm}$ , $π^{\pm} N$ ) ${}^{24}{Na}$ , ${}^{197}{Au}$ ( $π^{\pm}$ , $π^{\pm} N$ ) ${}^{196}{Au}$ , $E = 100 - 300$ MeV; measured $σ$ (activation). Compared with intranuclear cascade calculation, nucleon charge-exchange model.

Properties of the charged photopion production operator and the ${}^{2}H (γ, π^{+}) 2 n$ cross section

E. T. Dressler, W. M. MacDonald, and J. S. O'Connell

Phys. Rev. C 20, 267 (1979) - Published 1 July, 1979

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Threshold photopion production from the proton and the deuteron is calculated with the $γ N π$ amplitudes of Blomqvist and Laget. The $\hat{ε} \cdot \vec{σ}$ operator is found to dominate both cross sections up to 60 MeV above threshold. The results show agreement with recent ${}^{2}H (γ, π^{+}) 2 n$ measurements.

NUCLEAR REACTIONS ${}^{2}H$ ( $γ$ , $π^{+}$ ) photopion production on nuclei.

Photoneutron reaction in ${}^{17}O$ : Ground-state differential cross section at 98°

R. G. Johnson, B. L. Berman, K. G. McNeill, J. G. Woodworth, and J. W. Jury

Phys. Rev. C 20, 27 (1979) - Published 1 July, 1979

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Photoneutron spectra from ${}^{17}O$ have been obtained at bremsstrahlung end-point energies of 13.7, 16, 22, 28, and 34 MeV using the neutron time-of-flight technique. The angle between the incident photon beam and the 49.2-m flight path was 98°. From the measured spectra the differential cross section for the ${}^{17}O$ ( $γ$ , $n_{0}$ ) ${}^{16}O$ reaction between 5 and 33 MeV was obtained. The considerable structure in the cross section is compared with the known spectrum of levels for this nucleus compiled from previous studies using various reactions. In the region below 19 MeV, 18 resonances correspond to levels previously identified. In addition at least 12 other resonances which have not been seen previously have been observed. In the giant dipole resonance region (above 19 MeV) the present results delineate the $T = \frac{1}{2}$ strength. The measurement is compared to the ${}^{16}O$ ( $p$ , $γ_{0} + γ_{1}$ ) ${}^{17}F$ reaction with the expected similarities observed. The measurement also is compared to 1p,2p-1h shell-model calculations.

NUCLEAR REACTIONS ${}^{17}O$ ( $γ$ , $n_{0}$ ) ${}^{16}O$ , $E_{x} = 5.0 - 33.0$ MeV; measured photoneutron time-of-flight spectra; deduced ( $\frac{d σ}{d Ω}$ ) ( $E_{x}$ , 98°), resonant structure; $T = \frac{1}{2}$ strength of the GDR.

Pion-nucleus scattering and absorption as a solution of the Boltzmann equation

J. Hüfner and M. Thies

Phys. Rev. C 20, 273 (1979) - Published 1 July, 1979

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We calculate inelastic pion-nucleus collisions and pion absorption from the Boltzmann equation. The pion-nucleus optical potential and the elementary pion-nucleon cross section are the dynamical input. We describe the construction of a scattering solution and propose an approximation scheme based on a straight line trajectory (allowing for backward scattering). The total reaction cross sections, the one for absorption and for double charge exchange, are calculated as a function of the pion energy (from 50 to 300 MeV). Doubly differential cross sections $\frac{d^{3} σ}{d Ω dE}$ are computed for inelastic ( $π^{+}$ , $π^{+}$ ) and ( $π^{+}$ , $π^{0}$ ) reactions. Without adjusting any parameter, the absolute magnitude and the shape of the experimental data are fairly well reproduced. Pion absorption and single quasifree scattering are the two dominant channels in pion-nucleus interactions.

NUCLEAR REACTIONS Inelastic pion-nucleus scattering, single and double charge exchange, reaction cross section, absorption cross section, calculated from Boltzmann equation. ${}^{4}{He}$ , ${}^{12}C$ , ${}^{16}O$ .

Differential muon-capture rate for the reaction $μ^{-} + {}^{6}{Li} \to {}^{3}H + {}^{3}H + ν_{μ}$

S. L. Mintz

Phys. Rev. C 20, 286 (1979) - Published 1 July, 1979

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The differential muon-capture rate $\frac{d Γ}{d Ω} ({}^{6}{Li} + μ^{-} \to {}^{3}H + {}^{3}H + ν_{μ})$ as a function of angle between the outgoing tritons is calculated by the use of the elementary particle model. The total capture rate for the same reaction but with the neutrino energy limited between 0 and 29.8 MeV is also calculated as is the rate $\frac{d Γ}{d ν}$ under the same limitation. The reaction is also discussed as a candidate for determining a better limit on the muon-neutrino mass.

NUCLEAR REACTIONS Muon capture ${}^{6}{Li}$ ( $μ$ , $ν_{u}$ ) ${}^{3}H^{3}$ H calculated $\frac{d Γ}{d Ω}$ , $0 ° \leq θ \leq 180 °$ and, $Γ$ , $\frac{d Γ}{d ν}$ for $E_{ν} \leq 29.8$ MeV.

Proton states in ${}^{247}{Bk}$ excited by ${}^{246}{Cm}$ ( $α$ , $t$ ) reaction and ${}^{247}{Cf}$ (electron capture) and ${}^{251}{Es}$ $(α)$ decays

I. Ahmad, S. W. Yates, R. K. Sjoblom, and A. M. Friedman

Phys. Rev. C 20, 290 (1979) - Published 1 July, 1979

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Proton states in ${}^{247}{Bk}$ have been investigated by measuring the $γ$ rays and conversion electrons associated with the electron capture decay of the 3.11-h ${}^{247}{Cf}$ , ${}^{251}{Es}$ $α$ spectrum, and triton spectrum produced in the ${}^{246}{Cm}$ ( $α$ , $t$ ) ${}^{247}{Bk}$ reaction. The $γ$ -ray spectra were measured with a 25- ${cm}^{3}$ coaxial Ge(Li) diode and the electron spectrum was measured with a cooled Si(Li) spectrometer. Multipolarities of the intense transitions in ${}^{247}{Bk}$ were deduced and the $log ft$ values were derived from measured electron capture intensities. Triton spectra from the ${}^{246}{Cm}$ ( $α$ , $t$ ) reaction at bombarding energies of 28.0 and 29.0 MeV were momentum analyzed with an Enge split-pole magnetic spectrograph. Spectroscopic factors were derived from the measured cross sections and were found to be in good agreement with respective values calculated with single-particle wave functions. The ${}^{251}{Es}$ $α$ spectrum was measured with the Argonne double-focussing magnetic spectrometer; five $α$ groups were observed. On the basis of the results of the present investigation the following proton orbitals were identified in ${}^{247}{Bk}$ : $\frac{3}{2} - [521]$ , 0; $\frac{7}{2} + [633]$ , 40.8; $\frac{5}{2} + [642]$ , 334.9; $\frac{5}{2} - [523]$ , 447.8; 1/2 + [400], 487; 1/2 - [521], 704; $I = \frac{9}{2}, \frac{7}{2} - [514], 904$ ; and $I = \frac{13}{2}, \frac{9}{2} + [624], 1166$ keV.

RADIOACTIVITY ${}^{247}{Cf}$ [from ${}^{246}{Cm}$ ( $α$ , $3 n$ )]; measured $E_{γ}$ , $I_{α}$ , $E_{ce}$ , $I_{ce}$ , ${}^{251}{Es}$ [from ${}^{249}{Cf}$ ( $α$ , $2 n$ ), ${}^{246}{Fm} \overset{EC}{\to} {}^{251}{Es}$ ]; measured $E_{α}$ , $I_{α}$ ; deduced hindrance factors. NUCLEAR REACTIONS ${}^{246}{Cm}$ ( $α$ , $t$ ), $E = 28.0, 29.0$ MeV; measured $E$ (excitation), $σ$ . ${}^{247}{Bk}$ deduced levels, $log ft$ (EC), $γ$ multipolarity, $I$ , $π$ , eight single-particle states. Mass-separated ${}^{247}{Cf}$ , ${}^{251}{Es}$ , and ${}^{246}{Cm}$ .

Decay of the high-spin isomers in ${}^{150, 151, 152}{Ho}$

K. S. Toth, C. R. Bingham, H. K. Carter, B. G. Ritchie, D. C. Sousa, and D. R. Zolnowski

Phys. Rev. C 20, 298 (1979) - Published 1 July, 1979

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The electron-capture decay properties of the high-spin isomers in ${}^{150, 151, 152}{Ho}$ were investigated. The nuclides were produced in ${}^{10}B$ bombardments of samarium and then transported to shielded areas with the use of gasjet systems. Singles and coincidence $γ$ -ray measurements were made. Each isomer decays primarily to one excited state in its dysprosium daughter by means of an allowed $β$ transition ( $log ft$ values are ∼4.5). The following explanations are proposed. For ${}^{150}{Ho}$ and ${}^{152}{Ho}$ the transitions connect $9^{+}$ ( $π h_{\frac{11}{2}}$ , $ν f_{\frac{7}{2}}$ ) levels with $8^{+}$ ( $ν h_{\frac{9}{2}}$ , $ν f_{\frac{7}{2}}$ ) levels in ${}^{150}{Dy}$ (2401.8 keV) and ${}^{152}{Dy}$ (2437.6 keV). Deexcitation to the ground states then follows via a cascade of four $E 2$ $γ$ rays. In ${}^{151}{Ho}$ the $β$ transition represents the changeover of an $h_{\frac{11}{2}}$ proton orbital to an $h_{\frac{9}{2}}$ neutron orbital in ${}^{151}{Dy}$ . This single neutron state lies at 527.4 keV and deexcites directly to the ground state. The $α$ decay of ${}^{152}{Ho}$ was also investigated with the use of an on-line isotope separator. Its $α$ -decay branching ratio was determined to be 10.5±3.0%.

RADIOACTIVITY ${}^{150}{Ho}$ , ${}^{151}{Ho}$ , ${}^{152}{Ho}$ ; measured $T_{\frac{1}{2}}$ , $E_{γ}$ , $I_{γ}$ , $γ γ$ coin; ${}^{150}{Dy}$ , ${}^{151}{Dy}$ , ${}^{152}{Dy}$ deduced levels, $J^{π}$ . ${}^{152}{Ho}$ ; measured $I_{γ}$ , $I_{α}$ , deduced $α$ -decay branching ratio: mass separation.

Sixth-order boson expansion calculations applied to samarium isotopes

T. Tamura, K. Weeks, and T. Kishimoto

Phys. Rev. C 20, 307 (1979) - Published 1 July, 1979

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In previous publications we reported on calculations based on the boson expansion method, and showed that good overall fits can be obtained to levels of a number of collective nuclei chosen over a wide range of the periodic table. In the present paper we concentrate on Sm isotopes and obtain much improved results, the fits to experiment being very good in all cases. In achieving this, the calculations are made by first removing a few errors committed in the previous work and also by including all terms up to sixth order in the Hamiltonian. In addition to calculating energy levels, $B (E 2)$ values, and quadrupole moments as in our previous work, we also calculated isomer shifts and spectroscopic amplitudes for two-nucleon transfer reactions.

NUCLEAR STRUCTURE ${}^{148, 150, 152, 154}{Sm}$ microscopic calculation of energy levels, $B (E 2)$ 's, static quadrupole moments, isomer shifts, two-nucleon transfer spectroscopic amplitudes, boson expansion.

Measurability of the deuteron $D$ state probability

J. L. Friar

Phys. Rev. C 20, 325 (1979) - Published 1 July, 1979

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It is shown that several two-body unitary transformations which arise in the theory of meson-exchange currents can change the percentage $D$ state of the deuteron, implying that this percentage is not a measurable quantity. The connection of these transformations to meson-exchange contributions to the quadrupole moment, rms radius, magnetic moment, and the asymptotic $\frac{D}{S}$ ratio of the deuteron is discussed.

NUCLEAR STRUCTURE ${}^{2}H$ ; $q$ , $μ$ , $ρ$ ; meson-exchange currents; percent $D$ state.

Parity mixing in ${}^{18}F$ and low-energy inelastic electron scattering

W-Y. P. Hwang

Phys. Rev. C 20, 331 (1979) - Published 1 July, 1979

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The possibility of probing parity mixing in ${}^{18}F$ by polarized low-energy inelastic electron scattering is analyzed making use of the "elementary-particle" treatment. The nuclear form factors are determined by the $γ$ transition rates, gauge invariance, and certain general features abstracted from nuclear-model calculations. It is found that the effects due to the exchange of the neutral weak boson between the electron and the nucleus are completely negligible as compared with those due to the mixing of the two adjacent nuclear states of opposite parity. It is also found that the enhancement of the asymmetry at backward electron scattering angles rises linearly with the incident electron energy.

NUCLEAR STRUCTURE $e^{-} {}^{18}F (g . s .) \to e^{-} {}^{18}F^{*} (1.08)$ ; theoretical analysis of using polarized low-energy inelastic electron scattering to probe parity mixing in ${}^{18}F$ *(1.08).

Tjon line in few-body systems

R. Perne and H. Kröger

Phys. Rev. C 20, 340 (1979) - Published 1 July, 1979

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Atomic masses of selected isotopes of erbium, hafnium, and osmium

Justin E. Halverson and Walter H. Johnson, Jr.

Phys. Rev. C 20, 345 (1979) - Published 1 July, 1979

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A 41-cm double-focusing mass spectrometer has been used to measure atomic masses of ${}^{167}{Er}$ , ${}^{168}{Er}$ , ${}^{179}{Hf}$ , ${}^{180}{Hf}$ , ${}^{189}{Os}$ , and ${}^{190}{Os}$ . The measurements have yielded absolute atomic masses with errors less than 5 μu.

NUCLEAR STRUCTURE ${}^{167, 168}{Er}$ , ${}^{179, 180}{Hf}$ , ${}^{189, 190}{Os}$ measured atomic masses. Compared with earlier results.

Sizes of effective single particle fields for $s - d$ shell effective interactions

V. K. B. Kota

Phys. Rev. C 20, 347 (1979) - Published 1 July, 1979

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Sizes of effective single particle fields produced by various $s - d$ shell interactions are calculated in scalar, isospin, and SU(4) spaces. In general, of all the interactions, the Preedom-Wildenthal interaction is found to produce the largest single particle field in all the three spaces considered. The extent to which the isospin and SU(4) partitioning of the scalar space contracts a two-body interaction into effective one-body operator is also studied.

NUCLEAR STRUCTURE $s - d$ shell, effective interactions, induced single particle energies, calculated sizes in scalar, isospin and SU(4) spaces, comparative study, scalar space partitioning, contraction of two-body interaction operators.

Current densities in the projected Hartree-Fock approach. I. Magnetic moments

E. Moya de Guerra and S. Kowalski

Phys. Rev. C 20, 357 (1979) - Published 1 July, 1979

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Static magnetic dipole moments of several axially symmetric rare earth nuclei are computed for the first time in the projected Hartree-Fock approximation using the density matrix expansion effective Hamiltonian. Good agreement with experiment is found for even-even nuclei. Results for odd- $A$ nuclei show sensible discrepancies with known experimental values. These discrepancies are primarily attributed to the lack of spin polarization in the present Hartree-Fock wave functions. An estimate of spin polarization effects is also given.

NUCLEAR STRUCTURE ${}^{159}{Tb}$ , ${}^{154}{Sm}$ , ${}^{156}{Gd}$ , ${}^{165}{Ho}$ , ${}^{166, 167}{Er}$ , ${}^{174, 176}{Yb}$ , ${}^{175}{Lu}$ , ${}^{180}{Hf}$ , ${}^{181}{Ta}$ ; calculated static $M 1$ moments. Angular momentum projected Hartree-Fock approximation.

Translationally invariant spectral function for ${}^{6}{Li}$

George L. Strobel

Phys. Rev. C 20, 364 (1979) - Published 1 July, 1979

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A spectral energy function for the most tightly bound protons in the ${}^{6}{Li}$ ground state is calculated. A highly collective, or correlated motion wave function utilizing the translationally invariant hyperspherical harmonic formalism is used rather than an independent particle shell model wave function. A local energy approximation is made resulting in a calculated full width at half maximum of 10 MeV for the spectral function. The mean removal energy calculated is 21 MeV. These numbers generally agree with experimentally deduced values.

NUCLEAR STRUCTURE; ${}^{6}{Li}$ , $K$ harmonics, Spectral Function, independent particle energies.

Effect of number conservation on high spin states and nuclear deformation

M. R. Gunye and C. S. Warke

Phys. Rev. C 20, 372 (1979) - Published 1 July, 1979

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The high spin yrast states up to $J = 20^{+}$ in ${}^{158, 160, 162}{Er}$ are studied in the framework of microscopic variational approach by employing the Hamiltonian with quadrupole plus pairing interactions. The effect of number conservation on deformation, calculated energy spectra and $B (E 2)$ values is investigated. It is observed that the results are quite sensitive to the number conservation. The results of the calculations are in better agreement with the corresponding experimental data as compared to those obtained without number conservation.

NUCLEAR STRUCTURE Er Isotopes: calculated energy spectra, quadrupole moments and $B (E 2)$ . Variation after projection with number conservation in each state.

Spin-parity combinations in ${}^{40}{Ar}$

C. A. Davis

Phys. Rev. C 20, 38 (1979) - Published 1 July, 1979

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We obtained spectra for the reaction ${}^{40}{Ar}$ ( $α$ , $α_{1}$ ) ${}^{40}{Ar}$ for $E_{χ} ({}^{40}{Ar}) \leq 6.25$ MeV at $θ_{lab} = 176.3 °$ and intermediate angles and for incident $α$ energies of $12 \leq E_{α} \leq 15$ MeV in steps of 0.25 MeV. The appearance or nonappearance of peaks at this back angle allows one to discriminate between natural and unnatural parity for about 30 levels in ${}^{40}{Ar}$ . Combining the present results with published spectroscopic information leads to new unambiguous $J^{π}$ assignments for some levels and the confirmation of previously determined values for others.

NUCLEAR REACTIONS ${}^{40}{Ar}$ ( $α$ , $α_{i}$ ), $12 <~ E_{α} (MeV) \leq 15$ ; $Δ E_{α} = 0.25$ MeV; measured yield ( $E$ , $E_{α}$ , $θ$ ). ${}^{40}{Ar}$ deduced levels, natural target.

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Photodisintegration of the deuteron employing a supersoft core potential

$π^{+}$ photoproduction near threshold on ${}^{3}{He}$

Excitation of $E 1$ and $M 2$ resonances via ( $π^{-}$ , $γ$ ) reactions on ${}^{16, 18}O$

( $π$ , $π$ $N$ ) reactions on ${}^{25}{Mg}$ and ${}^{197}{Au}$

Properties of the charged photopion production operator and the ${}^{2}H (γ, π^{+}) 2 n$ cross section

Photoneutron reaction in ${}^{17}O$ : Ground-state differential cross section at 98°

Pion-nucleus scattering and absorption as a solution of the Boltzmann equation

Differential muon-capture rate for the reaction $μ^{-} + {}^{6}{Li} \to {}^{3}H + {}^{3}H + ν_{μ}$

Proton states in ${}^{247}{Bk}$ excited by ${}^{246}{Cm}$ ( $α$ , $t$ ) reaction and ${}^{247}{Cf}$ (electron capture) and ${}^{251}{Es}$ $(α)$ decays

Decay of the high-spin isomers in ${}^{150, 151, 152}{Ho}$

Sixth-order boson expansion calculations applied to samarium isotopes

Measurability of the deuteron $D$ state probability

Parity mixing in ${}^{18}F$ and low-energy inelastic electron scattering

Tjon line in few-body systems

Atomic masses of selected isotopes of erbium, hafnium, and osmium

Sizes of effective single particle fields for $s - d$ shell effective interactions

Current densities in the projected Hartree-Fock approach. I. Magnetic moments

Translationally invariant spectral function for ${}^{6}{Li}$

Effect of number conservation on high spin states and nuclear deformation

Spin-parity combinations in ${}^{40}{Ar}$

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