Mathematical simulation of few-nucleon experiments with three or more particles in the final state

A computer program for the kinematic simulation of nuclear reactions with three or more particles in the final state is described. Simulation results for the d + ²H → (nn)^S + (pp)^S → p + p + n + n reaction, which proceeds through the formation of a singlet dineutron and diproton in the intermediate state, are presented as an example. It is shown that the kinematic parameters of breakup particles depend on the parameters of the intermediate state. The results from simulating secondary neutron spectra are compared to an experimental neutron time-of-flight spectrum obtained in a kinematically complete experiment at a deuteron energy of 15 MeV. As a result of the comparison, the energy of the quasi-bound singlet ¹S₀ state of the ²n-system is determined.     

Quasifree processes in the 2H + 3He interaction

Quasifree scattering and quasifree reaction processes have been examined in the ³He+ ²H → p+d+d, ³He + ²H → n+p+³He and ³He+²H → p+p+t reactions. Beam energies of E_d = 22.3 and 35 MeV and of E_3He = 30, 33.5, and 52.5 MeV were used. The experimental results are compared with PWIA calculations and Fourier transforms of the wave functions are extracted. The quasifree processes are described qualitatively by the PWIA, but some features cannot be described by either PWIA or DWIA.     

Cross section of the <Superscript>3</Superscript>H(d, <Superscript>3</Superscript>He)nn reaction at a deuteron beam energy of 37 MeV

Inclusive spectra and differential cross sections of the ³H(d, ³He)nn reaction, measured at E _d = 36.9 MeV are presented. The shape of ³He spectra was reconstructed by modeling amplitudes of the neutron-neutron final state interaction (Watson-Migdal amplitudes), sequential decay via the ⁴He* resonance (E* = 21.2 MeV, Γ = 0.7 MeV), and their interferences. The model allowed the determination of the angular dependence of the differential cross section of the ³H(d, ³He)nn reaction accompanied by singlet nn-pair production. The results are compared to the supermultiplet potential model of the lightest nuclei interaction.     

A program for simulation experiments to study reactions with three particles in the final state

The results from the kinematic simulation of experiments to study two-stage A + B → C + D* → C + (E + F) reactions that proceed through a decaying intermediate state D* with three particles in the final state are presented, and the program used in this modeling is described. The program allows us to determine an experiment’s geometry, calculate the time-of-flight times and energies for all secondary particles within the chosen geometry, and optimize the setup parameters (detector size and time and energy resolution) so as to obtain the proper excitation energy resolution of intermediate state D*. The results obtained in simulating an experiment to study the d + ³H → ³He + ²n, ²n → n + n reaction are detailed.     

Two-spectator quasifree processes

Two-spectator quasifree processes (graphs with two spectator particles) for the ³He(³He, dd)pp reaction at the symmetric angle pairs θ = 30.1° at E_³He = 50 MeV and θ = 37° at E_³He = 78 MeV are investigated. The theoretical cross sections are calculated with the PWIA model. The measured cross sections are smaller but have shapes which are in good agreement with the calculation. The ratio N = experiment/theory is approximately 0.05 at 50 MeV and 0.1 at 78 MeV. The reaction ²H(d, pp)nn also was studied at the symmetric angle pair θ = 34.8° and E_²H = 34.7 MeV and the ratio is about 0.14.     

Production of high energy deuterons in the reaction:3He+3He→4He+2H+e ++v

Experiments on the reaction:³He+³He→⁴He+²He using a single four detector telescope have shown evidence for the production of deuteron pulses, consistent with the²He→²H+e⁺+v fusion reaction in the final state. New measurements on the same reaction using improved techniques viz.A) a windowless³He gas target andB) α- d correlation detection with 5 ns resolving time and antipileup circuitry have been performed. Calibrations were obtained from the⁷Li+³He→²H+⁴He+⁴He reaction spectra. The correlation angles were 30° and 97° for the alphas and deuterons respectively. Deuteron pulses have been observed, correlated with alpha particles. A cross section of (1.7 ±0.5)nbsr^?1MeV^?1 was obtained consistent with previous measurements using a single telescope.     

Pion production in two-body pd collisions

The reactions d(p, π⁺)t and d(p, π^o)³ He are analyzed in terms of the pp → π⁺d sub-process. The exclusion principle induces an additional exchange contribution involving the πd scattering amplitude. Acceptable deuteron and tritron (³H) wave functions which reproduce the charge form factors yield results consistent with experimental angular distributions at 470, 590, 754 and 1192 proton lab. energies. The forward peak is not sensitive to details of the wave functions. Both the direct and exchange form factors develop a zero which is imposed by the dip in the ³He charge form factor. The associated interference pattern governs the backward cross section.     

Two-nucleon pion absorption in 3,4He

Results are presented for π⁺NN → Np yields in ^3,4He relative to πd → pp from (π, p) measurements at energies between 50 and 295 MeV and estimates are given for total cross sections. These yields are nearly proportional to the number of target NN pairs, which is not true for ⁶Li and heavier nuclei. This is believed to indicate that πNN → Np is sensitive to the NN short-range behavior which is deuteron-like for ^3,4He but not always so for NN pairs in other nuclei.     

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.     

A data acquisition system based on digital signal processors for a setup with the detecting of coincident events

A setup is described for detecting several charged and neutral particles in coincidence and determining their energy and time parameters. The CAEN DT5742 (DT5720) desktop digitizer based on a digital signal processor is chosen as a central element of the data acquisition system. Using measurements of the parameters of secondary particles in the d + ²H → ²He + ²n reaction as an example, it is shown that this configuration allows all necessary information to be collected using a minimal set of electronic units, while the processing of digitized signals offers broad opportunities for interpreting the obtained data.     

Odd-even features in 3He + 3H scattering

The single-channel resonating-group method is used to study effects of the Pauli principle on ³He + ³H scattering. Comparison is made with previous similar calculations for d + ³He scattering, and it is found that the Pauli principle affects the s = 0 state of the ³He + ³H system rather similarly to the way it affects the s = 1 state, whereas the Pauli principle affects the $\text{s =}\text{3}\text{2}$ state of the d + ³He system quite differently from the way it affects the $\text{s =}\text{1}\text{2}$ state. Mention is made of the possibility of observing similar effects of the Pauli principle in other nuclear systems.     

Die2H+d-Reaktion bei niedrigen Energien

It is shown that in the angular distributions of the²H(d, p)³H (using polarized and unpolarized deuterons) and likewise in the neutron polarization of the mirror reaction²H(d, n)³He the resonance found atE _d ≈105 keV can be understood as a threshold resonance. From the experimental dataJ)^π=2⁽⁺⁾,T=0 is derived for spin, parity and isospin of the resonance. Additionally it is found, that the resonant part of the reaction has a small coupling matrix element, linking the²H+d channel with the³H+p and³He+n channels.     

Experimental study of nuclear processes in the presence of superstrong fields of a picosecond laser plasma

Nuclear processes in the presence of the superstrong laser fields of a picosecond laser plasma are experimentally studied at a radiation intensity of 2 × 10¹⁸ W/cm² on a Neodim laser setup with a power of 10 TW. Experimental data regarding neutron generation on the surface of a deuterated target (CD₂)_n owing to the thermonuclear fusion ²H(d,n)³He and the neutron generation on the Be target due to the photonuclear reaction ⁹Be(γ,n)2α are presented. Neutron yields Y _n of 10⁶ and 10³ per 4π sr per laser pulse are obtained for the (CD₂)_n and Be targets, respectively. The alpha-particle yield is measured for the first time in the neutron-free thermonuclear reactions ¹¹B + H → 3⁴He in the laser plasma on the surface of the composite B + (CH₂)_n targets. The alpha-particle yield is 10³ per 4π sr per laser pulse.     

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.     

Neutron excess nuclei of hydrogen and helium at ACCULINNA

Attempt to observe a ⁷H resonance produced in the reaction ²H(⁸He,³He)⁷H resulted only in setting a limit dσ/dΩ≤ 20 μb/sr for the reaction exit channel which could populate a resonance lying between 0 and 3 MeV above the ⁷H decay threshold. The quasi-free scattering of the α core bound in ⁶He was explored keeping in mind the possible study of the cluster structure of this halo nucleus. For the first time coincident particles emitted in the ⁴He(⁶He, 2α)nn reaction were detected in wide angular ranges giving a wide kinematical range of the measured angular and momentum distributions. The contribution of processes, competing with QFS in the α+ α+n+n output channel, was considerably suppressed by the selection of events with E_α1(2)-nn>10 MeV. A number of experimental distributions, relevant to the reaction mechanism and to the ⁶He structure, were compared with the results of MC simulations based on the PWIA formalism. The PWIA predictions showed consistency with the experimental data.     

On the Determination of Spin-Parity of Elementary Particles Produced in Collisions of Polarized Particles

In this paper we adopt Peshkin's “maximum complexity method” for reactions 0 + 1/2 → j + s, γ + 0 → j + 0 with polarized initial particles. The produced particles undergo the decays s → 0 + 1/2, and j decays strongly into 0 + 0 + 0. Study of certain correlations in such processes allows to determine the spins of the produced particles. Because the spin of the X° (960) meson is not firmly established we apply the general results obtained to the reactions: K?p → X° Δ, πp → X°N^★, _γHe → X°He.     

Quark-quark spin-isospin-interaction and6Li(p, δ+ +)6He reaction

The elementary reaction pp→nΔ ^{+ +}, through which the⁶Li(p, Δ ^{+ +})⁶He reaction proceeds, is considered as the flip of spins and isospins of two quarks, one in each of the two quark bags of the interacting nucleons. Using the experimental data on the⁶Li(p, Δ ^{+ +})⁶He reaction at 1.04 GeV and the distorted wave Born approximation (DWBA) for the reaction mechanism, the strength of the spin-isospin quark-quark interaction is determined. It is found to be 70 MeV fm³.     

Calculating the characteristics of neutron-deuteron and proton-deuteron systems in a two-body potential model

³H and ³He nuclei are considered in a two-body model (³H = n + d; ³He = p + d). Two independent approaches are used: in the first, interaction is described by the folding potential, while NN potentials are taken in the Hulthen form with allowance for violations of isotopic invariance. The second approach features phenomenological Hulthen and Yukawa Nd potentials used as Nd interaction. In both approaches, the binding energies, vertex constants, and asymptotic normalization coefficients in the N+d channel are calculated.     

Pi-mesic decays of A = 4 hypernuclei

Angular distributions and energy spectra for the decay modes _Λ⁴He→π^?p³He, _Λ⁴H → π^?p³H, _Λ⁴H → π^?n³He are calculated and compared with experiment. Final state nuclear interactions have been adjusted to fit the corresponding scattering data. With S-, P- and D-wave interactions we were able to obtain reasonably good agreement with the experimental decay spectra. It is suggested that the _Λ⁴H → π^?n³He decay spectra may be decisive in selecting the right set of p³H complex phase shifts from several possible solutions.     

A measurement of the lifetime of the Λ3 H hypernucleus

The mean lifetime of the hypernucleus _Λ³H has been measured in a helium bubble chamber with the result, τ(_Λ³H)=(2.46_?0.41^+0.62)×10^?10 sec, based on 16 examples of the decay mode _Λ³H→π^?+³He and 24 examples of the decay mode _Λ³H→π^?+p+d. The decay branching ratio R₃ = Γ(_Λ³H → π^?+^{3He)/Γ(_Λ3H → all π? modes}) has been estimated to be 0.30 ± 0.07.