Electromagnetic properties of 7Li and 7Be in a cluster model

The electromagnetic properties of ⁷Li (⁷Be) are studied by using a microscopic α-t (³He) cluster model. Among the several properties are the Coulomb and magnetic form factors for the ground spin-doublet states of ⁷Li (⁷Be), density distribution radii, static moments and radiative transition probabilities. Provided that the stability conditions for the binding energies are satisfied for both the constituent nuclei α and t (³He), the calculated results are in good agreement with many available data. Several interesting differences are predicted between ⁷Li and ⁷Be.     

太阳核心中7Be电子俘获几率的计算

在太阳核心的条件下,⁷Be原子被完全电离.所以,重新计算的⁷Be和⁸B太阳中微子流强分别约为4.00×10⁹cm^－2·s^－1和6.18×10⁶cm^－2·s^－1,而标准太阳模型预言的⁷Be和⁸B太阳中微子流强则分别是4.80×10⁹cm^－2·s^－1和5.15×10⁶cm^－2·s^－1.这将进一步增大在Super Kamiokande太阳中微子实验上中微子流强的实验测量值与理论预计值之间的差异.     

Microscopic calculations for the two 5/2 − resonances of the nuclei 7Li and 7Be

Calculations for the two 5/2 ? resonances of the mirror nuclei ⁷Li and ⁷Be are performed within the framework of cluster representations of nuclei. Using the same microscopic forces for both nuclei, their phase-shift and resonance width differences in the energy region of the 5/2 ? resonances are shown to be mainly due to effects produced by the Coulomb interaction.     

Neutron-induced charged-particle reactions in 6Li and 9Be

Angular distributions of tritons from the ⁶Li(n, t)⁴He reaction were measured at E_n = 7.25, 6.77, 6.57, 5.24 and 4.71 MeV. Angular distributions of douterons from respectively, the ⁶Li(n, d)⁵He two-body breakup reaction were measured at E_n = 6.77 and 6.57 MeV, and of protons from the ⁶Li(n, p)⁶He reaction at E_n = 6.77, 5.24 and 4.71 MeV. All these reactions in ⁶Li were analyzed as direct interaction in the formalism of the distorted wave Born approximation. The optical model for the nuclear interaction was found to apply reasonably well to nuclei as light as ⁴He, ⁵He, ⁶He and ⁶Li. In addition, ⁶Li as an alpha-deuteron cluster gives the best bound-state wave function to describe the experimental angular distribution of tritons. The excitation functions at forward angles of the ⁶Li(n, t)⁴He, ⁶Li(n, d)⁵He and ⁶Li(n, p)⁶He reactions were measured for incident neutron energies between 4.4 and 7.3 MeV. It is found that the ⁶Li(n, d)⁵He two-body breakup reaction has a threshold at about E_n = 5.3 MeV. Angular distributions at E_n = 18.3 MeV for tritons and protons from the ⁹Be(n, t)⁷Li and ⁹Be(n, p)⁹Li, respectively, were also measured.     

Configuration interaction and rotational structure in 8Be

A configuration interaction calculation for ⁸Be is carried out in which $\text{0}\text{h}\text{?}\text{ω, 2}\text{h}\text{?}\text{ω}$ and $\text{4}\text{h}\text{?}\text{ω}$ configurations are taken into account. The results indicate a reordering of levels into new rotational bands and a grouping of bands into “families”.     

Polarization and phase shifts in 9Be(p,p)9Be from 0.8 TO 2.7 MeV and the structure of 10B

Angular distributions of the analyzing power in ${}^9\text{Be(}\text{p}\text{,p)}{}^9$Be have been measured to an accuracy of about ±0.03 at 21 energies from 0.9 to 2.7 MeV with a target thickness of 20 keV at 1 MeV. These data and the cross section measurements of others are reproduced well in the region from 0.8 to 1.6 MeV by a set of phase shifts that vary reasonably with energy. The ³S₁, ⁵S₂, ⁵P₁, and ⁵P₂ phases suffice to describe the data, although channel spin and s-d mixing are required. Three levels satisfy the data: at 0.980±0.010 MeV are two levels, a 1⁺ of width 0.10 MeV and a 2^? of width 0.11 MeV; at 1.37±0.02 MeV is a 1^? level of width 0.30 MeV. The 1⁺ and 1^? states do not agree with earlier assignments. Outside of the energy region from 0.8 to 1.6 MeV a satisfactory set of phases could not be obtained, owing to inadequate data. These regions were studied in the analysis, however, and the results are discussed.     

High resolution NMR in metallic samples of 27Al and 9Be

Four-pulse experiments have been performed on ²⁷Al and ⁹Be in metallic powder samples. A line narrowing effect was achieved, which resulted in a symmetric line of about 200–300 Hz half width in both cases. No anisotropy was observed, but refined values of the Knight shift were obtained: 1636 ± 3 ppm for ²⁷Al and - 10.0 ± 3 ppm for ⁹Be.     

12C1 and 8Be production in 12C + 208Pb collisions

The mechanisms involved in the production of fast α-particles in ¹²C-induced reactions have been studied for the ¹²C + ²⁰⁸Pb system at the bombarding energies of E_12c = 132, 187 and 230 MeV. Absolute cross sections for the reactions ²⁰⁸Pb(¹²C. ¹²C¹→α + ⁸Be), ²⁰⁸Pb(¹²C, ⁸Be(g.s.)) and ²⁰⁸Pb(¹²C, ⁸Be(2.94 MeV)) have been determined by coincidence measurement of two or three correlated α-particles. Inclusive α-particle production cross sections were also measured at E_12c = 187 MeV. It is found that the inelastic process (¹²C, ¹²C¹→α + ⁸Be) does not contribute significantly to fast α-particle production but that the production of ⁸Be by projectile fragmentation is an important source of α-particles. At the highest bombarding energy (230 MeV) it appears that the ¹²C → 3α fragmentation reaction becomes more prominent at the expense of the ¹²C→α + ⁸Be fragmentation channel.     

Odd-even absorption in 3He + 3He scattering and level structure of 6Be

Differential cross sections for ³He + ³He elastic scattering are calculated at c.m. energies from 2.95 to 37.44 MeV using the one-channel resonating-group method. A phenomenological imaginary potential, whose strength depends on whether the relative orbital angular momentum is even or odd, is included in order to account approximately for open reaction channels. The introduction of such an odd-even feature leads to a significantly improved agreement with experiment, especially at the larger scattering angles. In addition, an analysis of the calculated resonant phase shifts confirms recent experimental observations of highly excited levels in ⁶Be.     

α + α scattering phase shifts and values of the reaction cross section near threshold of the 7Li + p and 7Be + n channels

The most recent values of the reaction cross section σ_R published in this journal are not well established and the reasons invoked to discard previous values are shown to be erroneous. In addition, a reanalysis of full angular distributions confirms the complex phase shifts obtained by the present author and the corresponding values of σ_R.     

Study of the 8Be first T = 2 state with 4He + α and 7Li + p initiated excitation functions

In a high resolution study of the ⁴He + α initiated excitation functions in the region of the ⁸Be first T = 2 state, weak resonance excursions have been observed in some reaction channels yielding the total width Γ = 14.7 ± 4.0 keV. No resonance excursion has been observed in the ⁴He + α elastic scattering yielding the branching ratio Γ_α/Γ ≦ 0.003 for the decay of the ⁸Be first T = 2 state into two α-particles. For the decay to the low-lying states of ⁶Li and ⁷Li lower limits of the branching ratio are given. The reinvestigation of the ⁷Li+p initiated excitation functions revealed no resonance anomaly in the region of the ⁸Be first T = 2 state. The upper limit Γ_p/Γ ≦ 0.023 has been derived for the proton decay to the ⁷Li_g.s.. The results are compared with previous measurements and with shell-model calculations.     

Diode-laser measurements and calculations of N2-broadening coefficients in the ν7 band of ethylene

N₂-broadening coefficients have been measured for 41 lines of C₂H₄ at 173.2 K in the P, Q, and R branches of the ν₇ fundamental band near 10 μm, using a tunable diode-laser spectrometer. These lines were individually fitted with a Voigt and a Rautian profile in order to determine their collisional widths. The resulting broadening coefficients, as well as those previously measured at room temperature for 35 transitions, are compared with values calculated on the basis of a semiclassical model of interacting linear molecules, using an atom-atom Lennard-Jones potential in addition to the electrostatic contributions. An overall satisfactory agreement is obtained for all the results at room and low temperatures. Finally the temperature dependence of the broadening coefficients has been determined through the temperature exponent n, experimentally for the 23 common transitions as well as theoretically for all the studied transitions.     

The elastic scattering of polarized 3He by 3He and excitation in the 6Be system

Angular distributions of the polarization in the elastic scattering of ³He by ³He have been measured at eight energies between 18 and 33 MeV, corresponding to excitation of ⁶Be between 20.5 and 28 MeV. The measurements were made using the 33 MeV polarised ³He beam at the University of Birmingham Radial Ridge cyclotron and a small gas target. The data have been analysed in terms of real and complex phase shifts. The deduced phase shift energy dependence cannot be associated with a single isolated level in ⁶Be, however an application of the two-level R-matrix formula reveals some broad L = 3 structures around E_x = 25 MeV.     

Proton momentum spectra in high-energy reactions of 9Be and 12C with quasimonochromatic photons

Momentum spectra of protons emitted at three lab angles 23°, 55° and 130° in high-energy photoreactions of ⁹Be and ¹²C are studied by using tagged photons in the energy range between 360 and 600 MeV. At 23° and 55°, we observe a structure which may be ascribed to protons from quasifree production of a single pion and those from quasideuteron photodisintegration, while at 130°, the spectra are predominantly due to protons resulting from intranuclear multiple scattering. The results of an intranuclear cascade calculation are compared with the data.     

Solar neutrinos and experiments to search for the hypothetical level in 6Be

We discuss the problem of solar neutrinos, as well as the restrictions imposed on the parameters of the hypothetical level in ⁶Be and experiments to search for new levels in nuclei with A = 6.     

Energy dependence of fusion and reaction cross sections in the 9Be + 12C system

Angular distributions of protons, deuterons. tritons and α-particles were measured for the system ⁹Be + ¹²C at lab energies between 12 and 27 MeV. The compound nucleus model with level densities calculated according to the Gilbert-Cameron formula describes satisfactorily the measured proton, deuteron and triton data. In the α-particle spectra contributions from other processes seem to be present. In the analysis the fusion cut-off angular momentum was adjusted at each energy in order to reproduce correctly the proton, deuteron and triton channels. From this analysis the fusion cross section was determined as a function of the energy. The results were compared with fusion and total reaction cross section values calculated from a potential model with the real part of the interaction potential obtained from the double folding procedure of Satchler.     

Possible anisotropy gap in La1.35Sr1.65Mn2O7 and La1.5Sr0.5NiO4 detected through specific heat and magnetization measurements

Magnetization and specific heat measurements, as a function of temperature, were performed on single crystals of La_1.35Sr_1.65Mn₂O₇ and La_1.5Sr_0.5NiO₄, under different applied magnetic fields (H). The specific heat in La_1.35Sr_1.65Mn₂O₇ was decreased for H=9 T parallel to the crystal c axis, compared with H=0, possibly due to a suppression of spin-wave excitations (magnons) in that ferromagnetic bilayer structure. On the other hand, the applied magnetic field had no effect in the specific heat of the antiferromagnetic La_1.5Sr_0.5NiO₄. For H=9 T and below the temperature of 4 K the specific heat data, for each crystal, was well fitted by an exponential decay law. This allowed the calculation of energy gaps around 1 meV for both compounds, in close agreement with Δ=2μ_BH for an expected energy gap in the magnon spectrum. Detailed magnetization measurements showed monotonic variations below 4 K and a steep increase close to 2 K. Both magnetization and specific heat measurements suggest the existence of an anisotropy gap in the energy spectrum of La_1.35Sr_1.65Mn₂O₇ and La_1.5Sr_0.5NiO₄.     

Uncertainties in the space-based measurements of CO2 columns due to scattering in the Earth's atmosphere

During the next decade satellites may be expected to provide a promising new source of CO₂ data. However, in order for the column-integrated CO₂ measurements to be useful for sources/sinks inversions, the requirements on these measurements are very demanding. In this paper we therefore quantify the largest error source for such CO₂ measurements in the near-infrared wavelength range , namely the effect of aerosols and thin cirrus clouds in the atmosphere. The errors are provided for the most common used observation geometries, nadir observations over land and sunglint observations over the ocean. It is estimated that for dust aerosols the aerosol optical thickness must be known within ±0.05 for errors below ±0.5% in the CO₂ total column. For other aerosol types the requirements are less strict (e.g. ±0.15 for sulfate aerosols). In the case of thin cirrus clouds over land the cirrus optical thickness must be known to ±0.05 over land surfaces and ±0.015 for sunglint observations over the ocean in case of moderate windspeed.     

DC electrical conductivity measurements on KCl and KNO3-added MgSO4·7H2O single crystals

Pure and impurity-added (with KCl and KNO₃) MgSO₄·7H₂O single crystals were grown by the free-evaporation method and characterized by density and DC electrical conductivity measurements. The present study indicates that the conductivity increases with temperature but does not vary systematically with impurity concentration. Activation energies were also estimated.