Fusion around the barrier in 11,9Be +209Bi

The ⁹Be +²⁰⁹Bi fusion cross sections were measured in the range 37.5 MeV ≤ E _lab ≤ 45.0 MeV at the Munich Tandem via the observation of ground state α-decay of the evaporation residues. Fusion cross sections of ²⁰⁹Bi with the “halo”¹¹Be unstable projectile in the region around the Coulomb barrier were deduced from an experiment done with the same technique at the RIKEN Ring Cyclotron. Above the Coulomb barrier the ¹¹Be cross sections are larger than the ⁹Be ones in agreement with theoretical predictions based on the larger ¹¹Be halo radius. Also below the barrier these theories foresee the same behavior in disagreement with the experimental results, since the two cross sections are rather similar. Received: 2 April 1998     

Measurements of elastic scattering for 7Be, 7Li + 9Be systems and fusion cross sections for 7Li + 9Be system

Elastic scattering angular distributions have been measured for ⁷Be + ⁹Be system at E_lab = 17, 19 and 21 MeV in the angular range θ_cm=26^○–58°, and for ⁷Li + ⁹Be system at E_lab= 15.75, 24 and 30 MeV. An optical model (OM) analysis of these data have been carried out. For the ⁷Li + ⁹Be system fusion cross sections were obtained at E_lab = 15.75, 24 and 30 MeV by measuring the α-evaporation spectra from the compound nucleus at backward angles. The measured α-evaporation spectra were reproduced by the statistical model calculations and fusion cross sections were extracted therefrom. The ratios of the experimental fusion cross sections to the total reaction cross sections (obtained form OM analysis) were found to be rather small. This result suggests that break-up process has a strong influence on fusion process leading to a reduction in fusion cross section.     

140A MeV~(40,48)Ca和~(58,64)Ni炮弹碎裂反应产物的统计擦碎模型计算

用统计擦碎模型计算了140AMeV40,48Ca+9Be和58,64Ni+9Be弹核碎裂反应产物的截面.通过对碎片截面计算结果和实验测量结果的比较发现,采用自由空间的核子-核子反应截面计算时,对非中心反应产物的截面拟合很好,而对中心反应产物的截面有较大高估,而采用饱和密度相关的核子-核子反应截面计算时,对非周边反应产物的截面拟合较好,而对周边反应产物的截面有一定程度的低估.在统计擦碎模型中,对核子-核子反应截面进行细致的介质密度关联,可能会改进计算值与实验值的符合程度.     

Cross section measurements for the 9Be+9Be System at subbarrier energies

The total reaction cross section and the characteristic y-ray cross sections have been measured for the ⁹Be+ ⁹Be reaction in the energy range E_cm = 1.4–3.4 MeV, detecting the prompt γ-rays emitted by the various residual nuclei with two Nal detectors in nearly 4π geometry and with a germanium detector, respectively. The differential elastic cross sections for the same system have also been measured at e_c.m.= 2.2, 2.7 and 3.2 MeV. The cross sections calculated with the “standard” and the proximity optical model potentials, which describe well the total reaction cross sections of the light nuclei, agree with the ⁹Be + ⁹Be elastic-scattering data, but underpredict the total reaction cross section by a factor of 2 to 3. The characteristic γ-ray measurements show that all two-particle emission channels, nα ¹³C, nn¹⁶O, np¹⁶N and αα¹⁰Be are enhanced by about that factor, while the single-particle emission channel, p¹⁷N, is not enhanced.     

Hadron production inpBe interactions at 14.6 GeV/c

Invariant cross sections for the production of ^±,K ^±,p, andd inpBe interactions at 14.6 GeV/c are well reproduced by calculations carried out in the framework of the Rossendorf collision model.Communicated by: F. Lenz     

Measurements of photoionization cross sections from the 4p, 5d and 7s excited states of potassium

New measurements of the photoionization cross sections from the 4p ²P_1/2,3/2, 5d ²D_5/2,3/2 and 7s ²S_1/2 excited states of potassium are presented. The cross sections have been measured by two-step excitation and ionization using a Nd:YAG laser in conjunction with a thermionic diode ion detector. By applying the saturation technique, the absolute values of the cross sections from the 4p ²P_3/2 and 4p ²P_1/2 states at 355 nm are determined as 7.2±1.1 and 5.6±0.8 Mb, respectively. The photoionization cross section from the 5d ²D_5/2,3/2 excited state has been measured using two excitation paths, two-step excitation and two-photon excitation from the ground state. The measured values of the cross sections from the 5d ²D_5/2 state by two-photon excitation from the ground state is 28.9±4.3 Mb, whereas in the two-step excitation, the cross section from the 5d ²D_3/2 state via the 4p ²P_1/2 state and from the 5d ²D_5/2,3/2 states via the 4p ²P_3/2 state are determined as 25.1±3.8 and 30.2±4.5 Mb, respectively. Besides, we have measured the photoionization cross sections from the 7s ²S_1/2 excited state using the two-photon excitation from the ground state as 0.61±0.09 Mb.     

The Σp and Σd total cross sections at 19 GeV

The total cross sections of 18.7 GeV Σ⁻ hyperons on protons and deutrons have been measured to be 34.0 ± 1.1 mb and 61.3 + 1.4 mb, respectively. The derived Σ⁻ -neutron cross section is 30.0 ± 1.2 mb.     

Measurement of fusion cross section with neutron halo nuclei

Fusion cross sections of ¹¹Be, ¹⁰Be and ⁹Be have been measured on ²⁰⁹Bi target at 30–70 MeV. Due to the neutron halo effect of ¹¹Be, a large enhancement or suppression of the fusion cross section around the Coulomb barrier was theoretically predicted. Comparing the excitation function of ¹¹Be with ¹⁰Be at near the Coulomb barrier region, no significant difference has been observed.     

H + reactions from 1.96 to 6.20 MeV

The differential cross sections of ²H(d, d)²H, ²H(d, ³He)n, ²H(d, p)³H and ²H(d, t)p have been measured in a gas scattering chamber at ten bombarding energies between 2.0 and 6.2 MeV with accuracies ranging from ±1.7 % to ±3.4 %. The differential cross section of ²H(d, n)³He has been measured at forward angles to an accuracy of ±2.5 % at the same energies using a time-of-flight detection system. The neutron detection efficiency was calibrated from the ²H(d, ³He)n cross sections, so the neutron production cross sections reported here do not depend on any previous neutron measurements. The ²H(d, ³He)n cross sections have been converted into ²H(d, n) ³He cross sections and Legendre polynomial fits are given for the complete angular distributions of ²H(d, n)³He.     

Significance of Deuteron Breakup in Halo Transfer

 We discuss the quasi-adiabatic approximations to the three-body wave-function in breakup processes and clarify the assumptions underlying the model. This suggests alternative approximation schemes. Using different theoretical three-body models, calculated angular distributions of differential cross sections for the ¹¹Be(p,d) reaction are presented, for which new preliminary data have been reported at 35 MeV. We show that calculations are sensitive to the inclusion of deuteron breakup and to the breakup model used, particularly if absolute spectroscopic information on the 0⁺ and 2^{+ 10}Be core-state parentages is deduced. There is also considerable sensitivity to the model employed in calculations of the relative cross sections of the two states. Received January 19, 1999; revised April 16, 1999; accepted for publication February 28, 2000     

Does break-up affect 9Be +209Bi fusion at the barrier?

The ⁹Be +²⁰⁹Bi fusion cross sections were measured in the 36.0 MeV ≤ E_lab≤ 50.0 MeV range, down to 0.6 mb, with high accuracy via in-beam detection of the ground state α-decay of the evaporation residues produced. The elastic scattering cross sections around 150° and 135° were also obtained with moderate angular resolution. The cross sections below the barrier are reproduced by coupled channel calculations which include only one break-up channel with a moderate strength and a phenomenological renormalization of the potential depth. These simple calculations overestimate the cross sections above the barrier most likely due to the fact that the ⁹Be break-up process becomes much stronger. The barrier distributions extracted do not have evident break-up signature since they show one-barrier structure. Received: 22 February 1999 / Revised version: 26 March 1999     

Study of the <Superscript>12</Superscript>C (<Superscript>8</Superscript>B, <Superscript>7</Superscript>Be)<Emphasis Type="Italic">X</Emphasis> knockout reaction at intermediate energies

The breakup reactions of ⁸B on a ¹²C target at 142, 285, 790, and 936MeV/nucleon have been studied. One-proton-removal cross sections, leading to the production of ⁷Be fragments in the ground and first excited states (at 0.429MeV), and the longitudinal momentum distributions of the ⁷Be fragments are obtained in the Eikonal approximation of the Glauber Model. The results of the calculations including the contribution of the ⁷Be to the ground and first excited states of ⁸B are compared with the available experimental data. One-proton-removal cross section for the ¹²C(⁸B, ⁷Be)X knockout reaction at 142, 285, 790, and 936 MeV/nucleon energy has been calculated. ⁸B and ⁷Be cross sections and momentum distribution are in a good agreement with available data.     

Proton total cross sections on 1H, 2H, 4He, 9Be,C and O in the energy range 180 to 560 MeV

Proton total cross sections have been measured for the nuclei ¹H, ²H, ⁴He, ⁹Be, C and O from 180 to 560 MeV (610 to 1170 MeV/c). The standard transmission technique was used with a resulting total error of 1 % to 2 %. Statistical errors were small (< 1 %) and the major contribution to the final error comes from uncertainties in applying the correction for Coulomb-nuclear interference in elastic scattering at small angles. For ⁴He, ⁹Be, ¹²C. and ¹⁶O this experiment also gives new information on the real part of the spin-independent forward scattering amplitude for proton-nucleus elastic scattering. Total cross sections have been calculated using a Glauber model approach and poor agreement with the data is obtained, even for deuterium.     

恒星能量下核子俘获反应率的晕核效应

恒星能量下俘获截面很难直接测量。¹⁰Be（n，γ）¹¹Be俘获反应涉及到非均匀宇宙大爆炸核合成，无直接测量实验截面数据。利用转移反应¹⁰Be（d，p）¹¹Be的渐近归一化系数（ANC）方法，计算了¹⁰Be（n，γ）¹¹Be俘获反应截面和反应率。¹¹Be是中子晕核。研究表明，在恒星能量下俘获到晕态的截面和反应率显著增大。     

Disentangling the reaction mechanisms of weakly bound nuclei

Complete and incomplete fusion cross sections for the ⁹Be + ¹⁴⁴Sm reaction have been measured at near-barrier energies, using the delayed X-ray detection technique. At above-barrier energies these show a suppression of complete fusion for this weakly bound projectile on an intermediate mass target. The suppression factor, attributed to ⁹Be break-up, was deduced from a comparison of complete fusion yields with coupled-channels calculations, and appears consistent with measured incomplete fusion product yields. At ∼10%, it is considerably smaller than the value of ∼30% previously found for a ²⁰⁸Pb target. Simultaneous measurements of elastic and inelastic scattering permit a clearer picture of the reaction mechanisms.     

The temperature dependence of the quenching of Na-D-doublet by N2 and H2O in flames of 1500–2500 K

The temperature dependence of the quenching cross section of the Na-D-doublet by N₂ and H₂O molecules has been measured in flames at temperatures from 1500 to 2500 K. The nitrogen and water cross sections are temperature independent. Their values were found to be σ_N2 = (22±2) Ų and σ_H2O = (2.2±0.3) Ų. Our value of the nitrogen cross section is about half of the value measured at about 400 K in vapour bulbs. A possible explanation for this difference is given.     

Production of Tb from gold by 0.2 to 0.5 GeV protons

The production of ¹⁴⁹Tb from gold by 200–450 MeV protons has been observed with cross sections (α-branch only) as follows: 0.0028 ± 0.0011 μb at 218 ± 14 MeV, 0.23 ± 0.09 μb at 384 ± 21 MeV, and 0.84 ± 0.34 μb at 434 ± 24 MeV.     

Photonuclear channel of <Superscript>7</Superscript>Be production in the Earth’s atmosphere

Measurements of average values of cross sections for the A(γ,X)⁷Be photonuclear reactions on nitrogen, oxygen, and carbon of natural isotopic composition were performed in the energy range from the threshold to 90 MeV. On the basis of the measured cross sections for ⁷Be photoproduction and on the basis of the results obtained by simulating the nuclear-electromagnetic cascade in the Earth’s atmosphere, the contribution of the photonuclear mechanism to the production of the cosmogenic radioisotope ⁷Be in the atmosphere and its latitude dependence were investigated for the first time. It is shown that the contribution of the photonuclear mechanism is commensurate with the contribution of the proton and neutron mechanisms of 7Be production in the atmosphere and that the inclusion of this mechanism is mandatory in analyzing the accumulation and transfer of ⁷Be in the planetary boundary layer.     

A study of π±9Be cross sections,and determination of the π 9Be coupling constant

We calculate the total cross sections for π ⁹Be scattering in the Glauber model for two different nuclear models, a single-nucleon model and a cluster model. The cluster model gives much smaller cross sections than the single-nucleon model. Applying forward dispersion relations to the antisymmetric π ⁹Be amplitude, we determine the π ⁹Be coupling constant as (f²)_eff=0.04±0.01.     

Investigation of some low-lying states in Pb by inelastic electron scattering

Differential cross sections for inelastic electron scattering from ²⁰⁸Pb have been measured in the momentum-transfer range from 0.48 fm⁻¹ to 1.54 fm⁻¹. The cross sections for the excitation of the 3⁻ level at 2.6 MeV cannot be reproduced with a modified liquid-drop model using a two- or three-parameter Fermi distribution, but are instead consistent with a phenomenological distribution which consists of two Gaussian functions multiplied with r^L−1. The value obtained for the reduced transition probability B (0.624±0.04 b³) is somewhat different from that determined in earlier electron scattering experiments. The cross sections for the excitation of the two 5⁻ levels at 3.2 and 3.7 MeV exhibit a striking difference in that the ratios of the cross section in the two first diffraction maxima are different by a factor of 2.5. The cross sections for the excitation of the level at 3.2 MeV can be reproduced with the modified liquid-drop model using a three-parameter Fermi distribution. The value for B is determined to be 0.053±0.014 b⁵. The excitation of the level at 3.7 MeV cannot be described by this model. There are strong indications that the transition charge here consists of two regions with opposite sign.