Off-shell effects in nucleon-deuteron polarization observables

A separable representation of theS-wave Paris potential and a phase-shift equivalent Yamaguchi-type potential significantly differing in their off-shell behaviours are used to calculate second-order polarization observables of elastic nucleon-deuteron scattering atE _D=10 and 20MeV. Off-shell effects are found that stem from differences in the nuclear interaction in the inner regionr?1.2 fm. Adding approximate Coulomb-distortion contributions to the purely nuclear Faddeev amplitudes proton-deuteron predictions are obtained. Coulomb effects are not found to be negligible. Comparison with experimental data, in particular, the spin-correlation parameterC _y,y of the reaction \({}^1\vec H(\vec d,d)^1 H\) forE _D=10MeV vector-polarized deuterons and the spin-transfer coefficientsK _y ^y′ ,K _x ^x′ andK _z ^x′ for \({}^2H(\vec p,\vec p)^2 H\) atE _p=10MeV, prefer the interaction model that contains an intermediate-range repulsion.     

Quark-Model Nucleon–Nucleon Interaction Applied to Nucleon-Deuteron Scattering

We have examined the neutron-deuteron low-energy effective-range parameters, differential cross sections and spin polarization observables of the elastic nucleon-deuteron scattering up to the incident nucleon energy E _N  = 65 MeV, using the quark-model nucleon–nucleon interaction fss2. These observables are consistently described without introducing three nucleon forces except for the nucleon analyzing power A _y (θ) and the deuteron vector analyzing power iT ₁₁(θ) in the low-energy region E _N  ≤ 25 MeV. The long-standing A _y puzzle is slightly improved, but still remains. We have incorporated the screened Coulomb force to the proton-deuteron scattering, modifying the Vincent–Phatak approach for the sharp cutoff Coulomb force. The Coulomb effect on the elastic scattering observables is discussed.     

High spin selectivity in α-particle induced reactions

Distinct maxima have been observed in the spectra of protons emitted from the ²⁴Mg(α, p)²⁷Al reaction in the region of the excitation energies of ²⁷Al between 5 and 15 MeV, where continuous spectra are expected according to the statistical model. To investigate the reaction mechanism responsible for the selective excitation of several states of ²⁷Al, angular distributions of protons in the angular range from 20° to 170° in the lab system were measured at the α-particles energies E_lab = 25.4 25.8 and 26.2 MeV. Thirteen out of thirty levels observed in proton spectra, exhibit symmetry of their angular distributions around 90° the c.m. system, when averaged over energy. The contribution of preequilibrium emission was calculated and found to be negligible. A Hauser-Feshbach analysis was carried out to determine spins of states of ²⁷Al whose angular distributions were symmetric around 90° in the c.m. system. Results of this analysis indicated high spin selectivity in the ²⁴Mg(α, p)²⁷Al reaction.     

Widths of the 7.74 MeV analogue state in39K

The³⁸Ar(p, p)³⁸Ar and³⁸Ar(p, γ)³⁹K reactions have been investigated in the analogue resonance region at E_p=1.39 MeV. For the 7.74 MeV state of³⁹K branching ratios, unique spin and parity, \(J^\pi = \tfrac{3}{2} - \) , proton and total width, Γ_p=Γ=1.1±0.2 keV, have been determined.     

Depolarization in proton inclusive inelastic scattering and in the (d,p) reaction on medium-weight nuclei

The energy-averaged depolarization parameter K_y^y′ has been measured for the inelastic scattering of 18 MeV protons from ⁵⁴Fe, ⁶³Cu and ⁹²Mo at 45°, 90° and 135°, and for 14.35 MeV protons from ⁶³Cu at 45° and 135°. In all cases K_y^y′ varies from approximately unity for scattering with low energy loss to approximately zero for inelastic scattering to high excitation energies. The change from one of these values to the other occurs over a region ≈ 6 MeV wide centered at about 5 MeV excitation. A simple two-component model fits both the K_y^y′ and inelastic crosssection data. K_y^y′ has also been measured for the ⁵⁴Fe($\text{d}$, $\text{p}$)Fe reaction with 16 MeV deuterons incident. Here K_y^y′ changes from approximately the maximum possible value, $\text{2}\text{3}$, to about zero in a 6 MeV region centered at roughly 13 MeV excitation. The ($\text{d}$,$\text{p}$) data can be fitted by an extension of the model used for the proton scattering data.     

Energieverteilung und Wirkungsquerschnitt der Photoprotonen aus N15

The energy spectra of photo protons from highly enriched N¹⁵ were investigated with the bremsstrahlung from the Heidelberg betatron running at six different endpoint energies between 19 and 30.5 MeV. The protons were detected at 90° to theγ-beam by means of a CsJ-spectrometer with pulse shape discrimination. The energy spectra show pronounced maxima atE _p =3.2; 4.6; 9.5 and 13.3 MeV. Proton yields are given as a function of endpoint energy, the yield value atE ₀=30.5 MeV being (7.0±0.8) μb/MeV · ster. Because the first excited state in the daughter nucleus C¹⁴ lies 6.09 MeV above the groundstate, the cross section for groundstate transitions of the process N¹⁵(γ, p)C¹⁴ could be derived from the upper 6 MeV of the single proton spectra. The main contribution to the cross section comes from the region between 18 and 26 MeV excitation energy with maxima at 19.5; 20.4; 22.7 and 24.5 MeV. A “pygmy resonance” occurs at 15.2 MeV with further less pronounced structures at 13.6 and 17.0 MeV. The integrated cross section for groundstate transitions up to 30.5 MeV is (22±3) MeVmb assuming isotropic angular distribution. The ratios of protons from transitions to excited states and from the (γ, n p)-reaction to those of groundstate transitions rise from 0.45 atE ₀=24.5 MeV to 0.70 atE ₀=30.5 MeV.     

Testing effective nucleon-nucleon forces to describe diagonal spin-transfer coefficients for the scattering of polarized protons with the excitation of the 1+ levels in 12C

The diagonal coefficients of spin-transfer D _ii in the small-angle inelastic scattering of polarized protons with the excitation of the two lowest 1⁺ levels in ¹²C are analyzed. The isoscalar (T = 0, E* = 12.71MeV) and isovector (T = 1, E* = 15.11 MeV) transitions are considered. The coefficients D _ii are calculated within DWBA using different effective nucleon-nucleon (NN) interactions between an incident proton and the nucleons of the nucleus. We consider the Franey-Love interaction and the Geramb effective interactions based on the Paris NN potential, and also the effective NN potential based on the chiral perturbation theory, etc. The impact of the wave function antisymmetrization is studied from the coefficients D _ii in a system that includes a projectile and nucleons of the nucleus, along with the impact of other effects.     

Forward peaking of near Coulomb energy protons in (n,p) reactions at 14.1 MeV

We apply a modified statistical model of compound nucleus reactions to analyse low energy proton angular distributions from the ⁹³Nb(n, p), ^natAg(n, p) and ^natIn(n, p) reactions at E_n=14.1 MeV. The forward peaking at the maximum of the proton evaporation spectrum at E _p = 6–8 MeV is reproduced and interpreted as an indication of the decay of thermalized-nonequilibrated nuclear states.     

Investigation of 38Ar levels by 37Cl+p reactions: (I). Yield curves,excitation energies and branching ratios

Yield measurements have been performed on the reactions ³⁷Cl(p, p₀)³⁷Cl, ³⁷Cl(p, α₀)³⁴S (E_p = 1.17–1.70 MeV) and ³⁷Cl(p, n₀)³⁷Ar, ³⁷Cl(p.γ)³⁸Ar (E_p = 0.64–2.92 MeV); detailed investigations are restricted to resonances below E_p = 1.79 MeV. Resonance energies, strengths and (some) widths are reported for 12, 26 and 247 resonances in the reactions (p, p₀), (p, n₀) and (p, γ), respectively.Simultaneous (p, α₀) and (p, γ) yield measurements over selected E_p intervals in the E_p = 0.88–1.64 MeV range established the existence of 42 resonances decaying by both γ and α₀ emission. Analysis of the γ-ray spectra of 100 ³⁷Cl(p, γ)³⁸Ar resonances leads to precision excitation energies (ΔE_x = 0.1–2 keV) of 57 bound states (E_x < 8 MeV) and branching ratios of the resonances and of 50 bound states.     

Errata

Angular distributions of protons emitted in the (e, e'p) reaction on ⁴⁰Ca at an incident electron energy of 710 MeV and for missing energies e_m = 39 MeV and E_M = 81 MeV are presented. The interpretation of these angular distributions in terms of momentum distributions for the struck protons in the original target nucleus indicates l ≠ 0 protons at E_M = 39 MeV and l = 0 protons at E_M = 81 MeV. Finally (p, 2p) and (e, e'p) results in calcium are compared.     

Spin assignment for the 4.28 MeV level in48Ca by means of the48Ca (p,p′γ) reaction

The gamma decay mode and the possible spin values of the second excited state of⁴⁸Ca (E _x =4.28 MeV) were investigated by studying the⁴⁸Ca(p, p′γ) reaction at an incident proton energy of 10.30 MeV. No ground state gamma transition was observed. The analysis of thep ₂ -γ angular correlation — using method II of Litherland and Ferguson — supports the spin assignmentI=0 for this level and excludes all spin values higher thanI=1.     

Analysis of (n,n) and (d,p) reactions on the same target using phase-equivalent potentials

The difference between (d, p) “Stripping into Continuum” and (n, n) Elastic Scattering on the same target has been investigated and discussed in terms of a non-local force and its local equivalent. In general our results indicate an influence of non local effects. In particular with the inclusion of the non locality a possible spin assignment for the levels at the excitation energiesE _x =3.359 MeV and 3.519 MeV in the reaction¹⁵N(d, p)N¹⁶ (unbound) has been indicated.     

γγ-Tripelkorrelationsmessungen am Fe56 bei (pp′ γγ)-Reaktionen

The investigations ofγγ-triple correlations following (pp′)-reactions are used to determine the spins of the second and third excited level in Fe⁵⁶ and theE2/M1 mixing ratio of the transition from the third to the first excited level. The population numbers of the substates are also determined. AtE _p =4.9 MeV the correlation associated with the second level was measured. AtE _p =5.5 MeV the correlations associated with the second and third level and the angular distributions of the photons were investigated. The spin series of 0^ü, 2^ü, 4^ü, 2^ü and a mixing ratio ofδ=0.20 was obtained. The results of the angular distributions and the correlations are compared. They agree well with experimental results of other authors, obtained by various methods of measurement, and with theoretical predictions.     

Spin assignment to the 9.026 MeV resonance level of36Ar using35Cl(p, γ)36Ar triple angular correlation measurements forE p = 533 keV

Triple correlation experiments have been performed to study the³⁵Cl(p, γ)³⁶Ar resonance for a proton energyE _p = 533 keV. From the analysis of the measured gamma ray angular distributions, due to the gamma decay of the 9.026 MeV resonance level in³⁶Ar via the 9.026 MeV→1.97 MeV→0 MeV double cascade, a spin value ofJ ₁ =2⁺ for the 9.026 MeV level and a mixing ratio of ?1.97 MeV∥L′₁ = 2∥9.026 MeV?/?1.97 MeV∥ L₁ = 1∥9.026 MeV? = ?0.055 + 0.022 for the 9.026 MeV→ 1.97 MeV transition could be derived.     

Polarization in the quasielastic scattering of 1-GeV/c protons on light nuclei

Polarization measurements in the A(p, 2p)B reactions on ⁶Li, ⁷Li, and ²⁸Si nuclei at a proton-beam energy of 1 GeV were performed in a kinematically complete experiment. By using a two-arm magnetic spectrometer, two secondary protons were recorded in coincidence at asymmetric scattering angles of θ₁=15°?26° and θ₂=58.6° for residual-nucleus momenta in the range K _B=0–150 MeV/c. Either arm of the spectrometer was equipped with polarimeters based on proportional chambers. The data coming from this experiment are analyzed within the distorted-wave impulse approximation. It is shown that the polarization of recoil protons formed at angle θ₂ in the interaction featuring a proton from the P shell of the ⁷Li nucleus can be described under the assumption of an effective intranuclear-proton polarization by using the single-particle shell-model wave function of the nucleus. Our data on the polarizations of the two protons from the reaction (p, 2p) on a ²⁸Si nucleus also suggest the effective polarization of the protons in the D shell of the ²⁸Si nucleus. It is found that, for high recoil-nucleus momenta of K _B≥90 MeV/c, the effective polarization of the protons in the P shell of the ⁶Li nucleus—this polarization was discovered in studying the polarization of recoil protons in the reaction ⁶Li(p, 2p)⁵He—cannot be described within the shell model assuming LS coupling. As might have been expected, the polarization of recoil protons knocked out from the S shells of the ⁶Li and ⁷Li nuclei comply well with the predictions obtained in the impulse approximation with allowance for the depolarization effect alone.     

Excitation functions of 40Ar(p,p′γ)40Ar and 40Ar(p,γ)41K reactions

The excitation functions of ⁴⁰Ar(p,p′γ)⁴⁰Ar and ⁴⁰Ar(p,γ)⁴¹K reactions are measured in the E _p = 1.0–3.0 eV range of accelerated protons. The excitation function in the E _p > 2.6 MeV range of accelerated protons is measured for the first time. The strengths of all (more than 200) measured resonance states are calculated.     

Magnetic moment measurements in64Zn and66Zn

The ratios of the ∥g∥-factors of the 7^?, 4.635 MeV level in⁶⁴Zn and 6^?, 4.074 MeV and 7^?, 4.250 MeV levels in⁶⁶Zn has been found to be (1±0.18)∶(0.64±0.14)∶(0.60±0.12) by means of the recoil-into-gas (helium) integral perturbed angular correlation technique. The studied states were populated by the reactions⁵¹V(¹⁶O,p2n)⁶⁴Zn atE ₀=51 MeV and⁵⁵Mn(¹⁴ N,2pn)⁶⁶Zn atE _N =54 MeV.     

Angular correlation measurement in the B11(d,pγ)B12 reaction

Thep-γ angular correlations in B¹¹(d, p)B¹² reaction have been measured in both reaction and azimuthal planes for proton angles 35° at E_D=1.60 and 2.40 MeV. The correlation coefficient A ₂ ⁰ and the distortion parameterλ were calculated. The obtained values of the shift of the symmetry axis from the recoil direction, Φ₀ and the parameterλ are far from there plane wave limits. The anisotropy of the angular correlation gives two possible values, 1⁺ and 2⁺, for the spin of the first excited state of B¹².     

Identification of a 3+ state in16O and evidence for a (1f 7/2 1p 1 2/−1 ) component in its wave function

Excitation functions and angular distributions for the elastic scattering of protons on¹⁵N and the reactions¹⁵N(p, α ₀)¹²C and¹⁵N(p,α ₁)¹²C^* were measured in the proton energy range of 2.50?5.14 MeV (E _x (¹⁶O)=14.47?16.94 MeV). Besides known resonances two new ones were found at 16.46 and 16.82MeV. For the latterJ ^?=3⁺ is assigned using the compound nucleus theory. The wave function of this state contains a (1f _7/2 1p ₁ ^2/?1 )₃-particle-hole-component. Earlier spin parity assignments of other resonances are discussed.