Parity non-conservation in low energy scattering of nucleons by light nuclei: (II). Results

The analysis developed in the preceding paper is applied to the low energy scattering of longitudinally polarized nucleons by ²H, ³He and ⁴He and of deuterons by ¹H. The sensitivity of the parity non-conserving asymmetry of the total cross section to the weak interaction is probed. The asymmetry is computed for various parity non-conserving nucleon-nucleon potentials in a distorted wave approximation. The asymmetries generally are found to depend sensitively on the parameters of the potential, but are smaller than those predicted for nucleon-nucleon scattering at the same energy.     

Shell model theory of elastic scattering of nucleons by deformed nuclei

The escape width originating from a collective rotational state as a doorway state is calculated in the framework of the shell model theory of nuclear reactions. The rotational states are constructed by Yoccoz-Peierls angular momentum projection from deformed intrinsic states which are described by BCS wave functions. For some rare earth nuclei it is shown that there result escape widths of the order of magnitude of 20–100 keV.     

Dispersion theory of parity non-conservation in pion-nucleon scattering at low energies

We examine the possibility for testing the weak parity non-conserving (pnc) interaction in pion-nucleon scattering at low energies. We start out analysis by assuming the existence of a pnc πNN coupling which conserves time reversal invariance and has the isospin selection rule ΔI = 1, and the existence of fixed-t dispersion relations obeyed by the pnc invariant amplitudes. By using the nonrelativistic expansion, we then derive dispersion relations for the partial-wave amplitudes.We calculate parity-odd observables in π^?p → π^?p and in π^?p → π⁰n, e.g., the up-down asymmetry α in the total cross section for a polarized target and the longitudinal polarization P of the recoil nucleon. In the conventional Cabibbo model for the weak interaction P and α are found to be of order 10^?7 to 10^?8.We have also examined the t-channel pnc ?-exchange process which has the isospin selection rule ΔI = 0, 2 and found it to contribute dominantly to P in the charge-exchange channel π^?p → π⁰n.     

Relativistic mean field approach to the scattering of antinucleons and nucleons by nuclei

A realistic mean field approach based on the Walecka theory for nuclear matter is used to derive the optical potential for nucleon and antinucleon-nucleus systems. The total and reaction cross sections are calculated in the WKB approximation for different nuclei ranging from carbon to lead and for incident energies between 0.1 and 2 GeV.     

Dispersion relations and low-energy elastic scattering of charged particles from nuclei: (I). Theory

Dispersion relations for the elastic scattering of charged particles from nuclei are deduced for the case of potential scattering. The inclusion of the Coulomb interaction leads to a simple modification of the formalism developed so far for uncharged projectiles only.     

Elastic scattering of 13.6 MeV deuterons by light nuclei

Measurements were made of the differential cross section or elastic scattering of 13.6 MeV deuterons by 19 nuclei, from beryllium to iron, and of the cross sections for inelastic scattering corresponding to the excitation of the lower excited levels of beryllium, carbon, titanium-46, and titanium-48. Several features found in the angular distributions are attributed to the interference of Coulomb and nuclear scattering. All the angular distributions are analyzed on the basis of the optical model; a quite good agreement is found between theory and experiment. A calculation is carried out for scattering by titanium-48 by the method of complex angular momenta. This model satisfactorily describes inelastic scattering of deuterons.Translated from Izvestiya VUZ. Fizika, No. 8, pp. 105–113, August, 1970.The authors thank the staff at the cyclotron of the Scientific-Research Institute of Nuclear Physics, Electronics, and Automation, Tomsk Polytechnical Instutute, for the reliable operation of the accelerator; and L. S. Sokolov and K. O. Terenetskii for assistance in the calculations.     

Fragmentation of light nuclei by intermediate energy photons

New data on the fragmentation of carbon nuclei by photons with energies from 800 to 1500 MeV, obtained in the collaboration GRAAL, are presented. These data include the yields of heavier fragments than nucleons. Comparison of new results with literature data, obtained with real and virtual photons in reactions with electrons and relativistic ions (Coulomb dissociation) is done using a general approach in frame of the Weizsäcker–Williams model. Possible reasons for the observed differences between them are discussed.     

Elastic and inelastic scattering of electrons by aligned light nuclei

The contribution to the elastic and inelastic scattering cross sections, , due to alignment of nuclei having axial symmetry was calculated for scattering of unpolarized, ultra-relativistic electrons by⁷Li atoms. This contribution turned out to be on the order of magnitude of the cross section ₀ previously calculated in the absence of nuclear alignment. For various nuclear orientations, the ratios /_o were calculated as a function of the momentum transfer q, which may be useful, for example, in increasing the reliability of identification of quantum numbers of nuclear states and multipole transitions.In contrast with the expression for _o, the expression for contains cross products of reduced matrix elements (RME), along with the squares of their moduli. This permits one, having previously experimentally found ₀ and under various kinematical conditions but for fixed q (the RME depend only on q), to obtain a system of equations for the RME and the statistical tensor g₂, which characterizes the degree of alignment of the nuclear target, along with the separation of the parallel and perpendicular cross sections as in the case of unaligned nuclei. Having solved the system of equations, one finds g₂ both in terms of the moduli of the RME of each multipole transition individually, and also in terms of their relative phases. The additional information thus obtained for each nuclear transition may serve as a more strict criterion for checking models of nuclei used in calculations than measurement of ₀ alone.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 94–98, January, 1990.     

Particle-hole description of GDR states in light nuclei with closed shells±2 nucleons

The particle-hole model is presented for nuclei with closed core±2 nucleons. This model, as applied to ⁶Li, ¹⁴N, ¹⁴C and ¹⁸O, gives overall agreement with experiment for the low-lying and GDR states.     

Parity non-conservation in the radiative capture of polarized neutrons by 35Cl

We report a measurement of the forward-backward asymmetry in the radiative capture of polarized cold neutrons in the reaction ³⁵Cl(n, γ)³⁶Cl where ³⁶Cl is in the ground state. The measured value of the asymmetry is a = (1.57 ± 0.531) × 10^?4. We deduce the mixing between the 2⁺ capture level and the neighboring 2^? levelto be $\text{〈2}{}^{\mathrm{?}}\text{¦H}{}_{\mathrm{<mtext>p.v.</mtext>}}\text{¦2}{}^{\mathrm{+}}\text{〉 = ?0.25 ± 0.08}\text{eV}$ before corrections. A measurement of the integral asymmetry of all γ-rays in the neutron capture by ³⁵Cl leads to agreement with measurements at Leningrad.     

Isospin-forbidden particle decays in light nuclei: (I). T = 32 levels of 9Be, 9B

Absolute branching ratios have been measured for the isospin-forbidden nucleon decays of the lowest $\text{T =}\text{3}\text{2}$ levels of ⁹Be and ⁹B to the ground state and first excited state of ⁸Be. The $\text{T =}\text{3}\text{2}$ levels were populated by the ⁷Li(³He, n) and ⁷Li(³He, p) reactions. The subsequent decay products were observed in coincidence with the neutrons or protons, detected at 0°. Branching ratios of 0.028 ± 0.021 and 0.50 ± 0.11 were determined for the neutron decays of the 14.39 MeV, $\text{T =}\text{3}\text{2}$ level of ⁹Be to the ground state and 2.9 MeV, 2⁺ first excited state of ⁸Be, respectively. Branching ratios of 0.11 ± 0.04 and 0.33 ± 0.09 were determined for the analogous proton decays of the ⁹B, 14.67 MeV $\text{T =}\text{3}\text{2}$ level. The similarity of the decay properties of these analogue levels is in contrast to the large asymmetries observed for $\text{T =}\text{3}\text{2}$ levels in other A = 4N + 1 light nuclei.     

Folding interactions in the scattering of soft heavy ions by light nuclei

Scattering of polarized ⁷Li by ¹²C and polarized ⁶Li by ¹⁶O at E_lab～20 MeV is studied by both cluster folding interactions and double folding ones, where projectile virtual excitation effects are included by the coupled-channel method. The results strongly depend on the choices of interactions and reaction mechanisms reflecting low Coulomb barrier effects.