Reaction rates of proton and deuteron induced reactions on lithium

Reaction rates are calculated for recently available low-energy data on⁷Li(p,α)⁴He,⁶Li(p,³He)⁴He and⁶Li(d,α)⁴He and compared to literature values. While the new rates are considered to be more accurate, their absolute magnitude agrees within about 10% with the most recent compilation.     

Mechanisms in d + 6Li three-body reactions at low bombarding energies

The three-body reactions induced by low energy deuterons on ⁶Li have been studied. The contributions from the sequential processes through the excited states of the intermediate ⁴He, ⁵Li, ⁶Li and ⁷Li nuclei dominate the coincidence spectra. The quasi-free d + d → d + d, d + α → d + α, and d + d → p + t reactions have been observed and compared with plane wave impulse approximation (PWIA) calculations.     

Indirect Study of the 2H(d,p)3H and 2H(d,n)3He Reactions at Astrophysical Energies via the Trojan Horse Method

The ²H(d,p)³H and ²H(d,n)³He reactions have been indirectly studied by means of the Trojan Horse Method applied to the quasi-free ²H(³He, p³H)¹H?²H(³He, n³He)¹H reaction at 18?MeV of beam energy. This is the first experiment where the spectator (here ¹H) has been detected in coincidence with the charged participant, avoiding the limitations of standard neutron detectors. The d ? d relative energy has been measured from 1.5?MeV down to 2?keV, at center of mass angles from 40° to 170°. Indirect angular distributions are compared with the direct behaviour in the overlapping regions.     

试用特洛伊木马方法研究天体核反应9Be（p，α）6Li

为克服低能带电粒子核反应截面直接测量中所遇到的库仑位垒和电子屏蔽效应带来的困难，试用基于准自由反应机制的特洛伊木马方法，在意大利南部国家核物理实验室的15MV串列加速器上，通过^2H（^9Be，α^6Li）n核反应对^9Be（p，α）^6Li在低能区（Ecm=0-1000kev）的裸核反应截面做了间接测量，并将测量结果与直接测量数据进行了比较。The beryllium abundance acts as a key role for understanding the inhomogeneous Big Bang nucleosynthesis. In order to measure the ^9Be（p, α）^6Li bare nucleus cross section and S（E） factor at astrophysical energies, the Trojan Horse Method （THM） can be applied. The main feature of the method is that it allows to extract the energy dependence for the astrophysical S（E） factor of bare nuclei at very low energies without any extrapolation, by measuring the cross section of an appropriate three body process. Thus the ^9Be （p,α）^6Li has been studied by means of the THM applied to the ^2H（^9Be,α^6Li）n at INFN-LNS, Catania, Italy. The two body reaction cross section has been studied in the energy range of Ecm=0-1 000 keV. Preliminary results are discussed and a comparison with direct data is made.     

Angular correlations from 6Li break-up near the Coulomb barrier of 118Sn and 208Pb

Absolute coincidence cross sections for three-particle final states have been measured inplane in the ⁶Li + ¹¹⁸Sn and ⁶Li +²⁰⁸Pb reactions at incident energies of 22.2 and 23.0 MeV, respectively. Most strongly populated is the α + d branch, proceeding sequentially through the first excited state (E_x = 2.18 MeV, J^π = 3⁺) of ⁶Li. The angular distributions are fitted by DWBA calculations including Coulomb interaction in the excitation of the projectile. The main competing reaction channels above and at the Coulomb barrier (¹¹⁸Sn: E/E_c ≈ 1.3; ²⁰⁸Pb: E/E_c ≈ 0.9) are: neutron transfer (⁶Li, αp) and the non-sequential α + d break-up of ⁶Li. The latter spectra are consistent with a quasi-free break-up mechanism. No ³He or tritons have been found in the coincidence spectra, as well as no evidence for a three-particle dissociation of ⁶Li into α + p + n.     

Excitation of promising nuclear fusion reactions in picosecond laser plasmas

The results of experiments devoted to studying the excitation of the promising nuclear fusion reactions ⁶Li(d, α)⁴He, ³He(d, p)⁴He, ¹¹B(p, 3α), and ⁷Li(p, α)⁴He, along with the standard reaction D(d, n)³He, in picosecond laser plasmas are presented. For the first time, it was shown that these reactions may proceed at a moderate laser-radiation intensity of 2 × 10¹⁸ W/cm², the respective yield being 2 × 10³ to 10⁵ per laser pulse. A brief survey of the main processes responsible for the generation of fast electrons and fast ions (protons) at the front surface of the target and for the excitation of nuclear fusion reactions is given. The calculated and experimental results on the yield from nuclear fusion reactions in picosecond laser plasmas are compared. The possibilities for optimizing the yield from the promising fusion reactions excited in femto- and picosecond laser plasmas are discussed.     

Medium energy cluster knock-out reactions on 6Li and their interpretation in terms of distorted waves

The ⁶Li(d, 2d)⁴He and ⁶Li(d, dα)²H reactions were performed at 27 MeV. Analyses of these and the 42.8 and 55 MeV ⁶Li(α, 2α)²H reactions were performed using distorted wave and plane wave impulse approximations. The kinematic and potential coupling approximations to final state three-body Schrödinger equation and the post and prior form approximations to off-shell scattering cross section were studied for the three reactions. It was found that only the kinematic coupling and post form approximations could be used for the consistent analyses of the three reactions. The effects of distortions and localization of the reactions were investigated. Manifestations of deuteron cluster deformation were noticed in the analyses of the three reactions.     

Search for highly excited states in light nuclei with three-body reactions

Various three-body break-up reactions resulting from the bombardment of ⁷Li with 120 MeV ³He have been measured simultaneously in a kinematically complete experiment. Missing-mass spectra have been deduced for ⁴H, ⁴He, ⁴Li, ⁵He, ⁵Li, ⁶He, ⁶Li and ⁷Li. The ground states of ⁴H and ⁵He are well described as n-t and n-α P-wave final-state interactions, respectively. Evidence is found for relatively narrow states at very high excitation energies in several nuclei. The results are compared with those of other authors and with various theoretical predictions.     

Three-cluster model of radiative capture reactions in seven-nucleon systems. Effects of cluster polarization

We apply the microscopic three-cluster model, developed by the authors recently, to study the effects of cluster polarization on the capture reactions ³He(??, ??)⁷Be, ³H(??, ??)⁷Li, ⁶Li(p, ??)⁷Be, and ⁶Li(n, ??)⁷Li. These reactions are of great importance for astrophysical applications. Thus, the main attention is paid to the cross sections (or the astrophysical S factor) of the reactions in the low-energy region. Correlations between the astrophysical S factor of the reactions at zero energy and different quantities associated with the ground state of a compound nucleus are studied in detail.     

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.     

Consistent cluster model description of the electromagnetic properties of lithium and beryllium nuclei

We calculate the electromagnetic properties of lithium and beryllium nuclei within a resonating group model using bare charges and g-factors. For ⁶Li we give results for reduced transition strengths and explain the tiny quadrupole moment. For ⁷Li and ⁷Be we compute electromagnetic moments and transitions between bound states. Furthermore we reproduce the existing data on the radiative captures ³He(α, γ)⁷Be and ³H(α, γ)⁷Li. In the ⁷Li case the calculations indicate an increase of the astrophysical S- factor for decreasing energy which might have astrophysical consequences. We show that closed channels do not influence results on the astrophysical S-factor at low energy. Finally we demonstrate that the polarisability of ⁷Li originates from the virtual break-up at low energies. In this case, the ⁶Li + n channels contribute appreciably.     

Nuclear-matter radii of 7Be and 7Li and astrophysical S-factors for radiative alpha-capture reactions

The nuclear-matter radii of ⁷Be and ⁷Li measured in high-energy heavy-ion reactions have been calculated and applied to the estimate of astrophysical S-factors for the ³He(α,γ)⁷Be and ³G(α,γ)⁷Li reactions. The absolute S(O) values in the KeV b are constrained to be 0.36<S(0)<0.63 and 0.083<S(0)<015 for the ³He(α,γ)⁷Be and ³H(α,γ)⁷Li reactions, respectively.     

Charge-exchange reaction on 12C with 217 MeV 3He particles

Differential cross sections for the (³He, t) charge-exchange reaction have been measured on a ¹²C target with 217 MeV ³He particles. High energy tritons were detected using a thick Ge(Li) crystal (43 mm) and a 4 mm Si(Li) detector in an E-ΔE telescope. Microscopic DWBA calculations have been carried out, using the rather well known wave functions of the ¹²C levels from Gillet and Vinh-Mau. The sensitivity of this reaction to the different terms of the two-body effective interaction is discussed. A comparison of the (³He, t) and (³He, ³He') reactions populating analog final states is also presented. The two-step mechanisms (³He,α)(α, t) and (³He, d)(d, t) are introduced for the first two levels 1⁺(g.s.) and 2⁺(0.969 MeV) and the results emphasize the importance of such processes at high energy.     

A study of reaction mechanisms for the Li(p, 2d)He reaction at 45 MeV

The first kinematically complete experiment involving a (p, 2d) reaction is reported. It is found that at 45 MeV bombarding energy a significant part of the ⁷Li(p, 2d)⁴He reaction cross section arises from contributions from sequential decay processes through excited states of ⁶Li. A new three-body break-up mechanism involving the quasi-free interaction of the proton with the bound triton is discussed.     

Microscopic multi-channel calculations for the A = 4 systems

Microscopic multi-channel calculations are presented for the A = 4 systems from the first break-up threshold up to 10 MeV center of mass in the framework of a refined resonating group theory. The calculated results explain experimental data and yield new insight into complicated multi-channel reaction mechanisms. The well-established resonance structures are found and their positions are related to the experimentally assigned positions. The possible existence of a d-d threshold resonance is investigated and ruled out. An additional low-lying (broad) J^π = 1^?, T = 0 resonance is proposed but no evidence for the existence of a 0^? or 1⁺ state around 25.5 MeV excitation energy is found. The differences in ³H(p, $\text{p}$)³H and p(³$\text{H}$, ³H)p polarization data are explained via the odd spin-orbit component of our nucleon-nucleon force. The differences observed in the mirror reactions ²H(d, $\text{p}$)³H and ²H(d, $\text{n}$)³He are caused by the Coulomb potential alone.     

Quasi-free processes in 6Li(3He,pα)4He reaction at low energies

The ⁶Li(³He, pα)⁴He reaction was studied experimentally at 3.5, 4.4 and 5.5 MeV in the quasi-free reaction kinematical region. The effects of a resonance in the virtual ²H(³He, p)⁴He reaction on the three-body reaction cross section were investigated.     

The 6Li(α, 2α)2H reaction at 700 MeV and the α-d momentum distribution

The results of an experimental study of the reaction ⁶Li(α, 2α)²H at 700 MeV are given. A comparison with the data from seven other reactions pertaining to the α⁺d cluster structure of ⁶Li is presented. The amplitude for the virtual transition ⁶Li→α+d obtained three of these experiments and the present one are comparable. The internal momentum distributions extracted with the plane-wave impulse approximation in four of the experiments are compatible with a pole form, the width parameter being given by the α-separation energy in ⁶Li. The remarkable consistency among these results is seen as evidence for the validity of the simple models used for both the reaction mechanism (PWIA) and to describe the α d-vertex (pole approximation) in ⁶Li.     

Experimental investigation of highly excited states of the 5,6He and 5,6Li nuclei in the (6Li, 7Be) and (6Li, 7Li) one-nucleon pickup reactions

The (⁶Li, ⁷Be) and (⁶Li, ⁷Li) reactions on ⁶Li and ⁷Li nuclei were investigated in the angular interval 0°–20° in the laboratory system at a ⁶Li energy of 93 MeV. In addition to low-lying states of the ^5,6He and ^5,6Li nuclei, broad structures were observed near the t(³He)+d and t(³He)+t thresholds at the excitation energies of 16.75 (3/2⁺) and ～20 MeV (for ⁵He), 16.66 (3/2⁺) and ～20 MeV (⁵Li), 14.0 and 25 MeV (⁶He), and ～20 MeV (⁶Li). The angular distributions measured in the ⁷Li(⁶Li, ⁷Be)⁶He reaction for transitions to the ground state (0⁺) and excited states at E _x=1.8 MeV (2⁺) and 14.0 MeV of the ⁶He nucleus were analyzed by the finite-range distorted-wave method assuming the 1p-and 1s-proton pickup mechanism. The (⁶Li, ⁷Be) and (⁶Li, ⁷Li) reactions were shown to proceed predominantly through the one-step pickup mechanism, and the broad structures observed at high excitation energies are considered as quasimolecular states of the t(³He)+d and t(³He)+t types.     

Reaction efficiencies in nucleon channels for 7Li and 9Be nuclei

Reaction cross sections of the radiative capture of nucleons ⁶Li(n, γ)⁷Li, ⁶He(p, γ)⁷Li, and ⁸Li(p, γ)⁹Be in the region of low astrophysical energies are calculated using the dynamic potential cluster model. The results are compared to the available experimental and theoretical data. The yields of these reactions are also calculated, based on the established theoretical results.