Isospin effect in photoproton reaction on heavy nuclei

The cross sections and energy distributions of photoprotons measured mainly with (e, e'p) reactions on heavy nuclei are summarized. Isospin effects in this reaction are discussed for the IAR and isospin splitting of GDR. These effects for the proton energy distributions are theoretically calculated with the simple shell model and the results show qualitative agreement with the experimental results. Detailed experimental results which can not be explained by the present theory are also discussed.     

The structure of25Mg

Gamma-decay modes and spin(-parity) assignments of levels in²⁵Mg have been systematically investigated up to 10 MeV excitation energy by particle-γ-ray angularcorrelation measurements with the²⁴Mg(d, pγ) reaction at 6.5 MeV bombarding energy and with the²²Ne(α,nγ) reaction at 11.8, 12.5, 14.4 and 15.5 MeV bombarding energy. A level scheme has been established which is comprehensive up to 8.3 MeV excitation energy forI≦9/2 and up to 10 MeV for 9/2O d _5/2 — 1s _1/2-O d _3/2 shell and the unifieds-d shell Hamiltonian. The agreement is good to excellent. The first intruder states are located near 6.8 MeV excitation energy. The collective properties of²⁵Mg beyond the well established rotational bands are investigated using both the new experimental information and theB(E2)'s obtained from the shell model. The spectrum of²⁵Mg is completely rotational for the first five to six MeV above the yrast line. Shell modelB (M 1)'s reflect the Nilsson model structure of²⁵Mg in great detail. The prospectiveI ^π=9/2^?, 13/2^?, and 15/2^? members of the established negative-parity,K=1/2 band are found in levels atE _x=7801, 9410, and 8896 keV.     

The γ-decay of25Mg

The reactions²⁴Mg(d,p γ) and²⁷Al(d,α γ) have been used to study the main γ-decay modes of all bound and several unbound levels in²⁵Mg up toE _x=8 574 keV. The relevance of the data with respect to the rotational model is discussed.     

The photoproton decay of 27Al

Photoproton spectra from ²⁷Al were measured from 14.8 to 27.6 MeV excitation energy in 400 keV steps. From these, high resolution photoproton cross sections to low-lying states of the residual ²⁶Mg nucleus were deduced. The large integrated cross sections to these states justify the interpretation of the de-excitation γ-ray measurements which consistently indicate strong population of low-lying residual states following photodisintegration. Further, the results are discussed with reference to the particle-hole model. By examination of the microscopic configurations of the possible GDR states an explanation is proposed for the differences in the cross sections to various residual states. Finally, the results are compared with spectroscopic factors determined from pickup reactions on ²⁷Al.     

Direct capture in the 24Mg(p, γ)25Al reaction

Excitation functions for the ²⁴Mg(p, γ)²⁵Al capture reaction have been obtained for the beam energy range E_p = 0.2–2.3 MeV. The analysis of these data revealed the presence of the direct capture process to the low-lying states in ²⁵Al at , $\text{945(}\text{3}\text{2}{}^{\mathrm{+}}\text{), 2485(}\text{1}\text{2}{}^{\mathrm{+}}\text{)}\text{and}\text{3062}\text{keV}\text{(}\text{3}\text{2}{}^{\mathrm{?}}\text{)}$. The presence of the weaker direct capture transitions is manifested through interference effects on the tails of the two broad resonances at E_p = 823 and 1623 keV. The deduced spectroscopic factors for these final states in ²⁵Al are compared with the corresponding values from stripping data as well as model calculations. An astrophysical S-factor of S(0) ≈ 30 keV· b for this reaction has been obtained.     

Lifetime measurements in25Mg

We present analytic solutions of the Eilenberger equations for the low-frequency Green's functions corresponding to those quasiparticles whose trajectories pass near the center of an isolated vortex. Using these results we find that for type II superconductors in the temperature rangeT _c ?T?T _c ²/ε_F the order parameter and the supercurrent near the vortex center increase over a lengthξ ₁～ξ _BCS T/T _c (ξ _BCS=BCS coherence length) and that the density of states at the Fermi surface isN ₀ 2π ³ ξ _BCS ² /3 In (ξ _BCS/ξ ₁). The results can be reproduced with the Bogoliubov equations for the elementary excitations. It is shown that this peculiar behavior is connected with the low-lying bound states in the vortex core. ForT? _c ²/ε _F one hasξ ₁～k _F ^?1.     

Exact finite range CCBA results for the reaction 24Mg(d,p)25Mg at 14 and 15 MeV

The differential cross-sections for the ${}^{24}\text{Mg(d, p)}{}^{25}\text{Mg}\text{5}\text{2}{}^{\mathrm{+}}\text{(}\text{g.s.}\text{)}$ reactions at E_d = 15 Mev and $\text{7}\text{2}{}^{\mathrm{+}}\text{(1.61}\text{MeV state}\text{)}$ reaction at E_d = 14 and 15 MeV have been calculated using the full finite range CCBA code OUKID. It is shown that finite range effects are very important for these light ion reactions and that the deuteron D-state makes a negligible contribution at these energies.     

On the nature of the photoproton spectra

Two classes of the proton channels of dipole LAS in the even-even nuclei have been studied: the decay into the “one hole” and “two hole-one particle” states of the residual nucleus. The photoproton spectra for ¹¹⁴Sn and ¹²⁴Sn have been calculated and compared with experiment.     

Spins and parities of hole states in25Na and25Mg

Angular distributions of differential cross sections and vector analyzing powers were measured forl=0, 1 and 2 transitions induced by the \(^{26} Mg\left( {\overrightarrow d ,\tau } \right)^{25} Na\) reaction at 52 MeV. The following spins and parities of final states in²⁵Na were deduced:J ^π =1/2⁺ (1.069 MeV), 3/2⁺ (2.202 MeV), 5/2⁺ (2.914 MeV), 1/2^? (3.995 MeV) and 3/2^? (5.190, 5.690, 6.549 and 7.603 MeV). The DWBA analysis of proton and neutron pick-up spectra obtained from a parallel measurement of the²⁶Mg(d, τ)²⁵Na and²⁶Mg(d, t)²⁵Mg reactions allows the identification ofT=3/2 analog states in²⁵Mg. Interpretation in terms of the Nilsson model of energies and spectroscopic factors of the first 1/2^? and 3/2^? hole states observed in proton pick-up reactions from even 1d _5/2- shell nuclei indicates a close correspondence of the final state deformations with those of the first excited 2⁺ states in the target nuclei.     

The decay of the giant dipole resonance in 26Mg to T = 32 states of 25Mg

The population of $\text{T =}\text{3}\text{2}$ states in ²⁵Mg from the giant dipole resonance in ²⁶Mg was observed by the ²⁶Mg (γ, nγ′) reaction. The previously reported result, that neutron decay between 18.9 MeV and 23.0 MeV proceeds mainly to these states, could not be confirmed. Therefore the isospin splitting of the giant resonance of ²⁶Mg remains questionable.     

The microscopic theory of pre-equilibrium decay and the photoproton spectra for medium nuclei

The paper deals with the photonucleon energy spectra for two branches of the giant resonance (T _< andT _>) on the basis of the microscopic theory of the pre-equilibrium decay. The first stage of the reaction is described by the wave function obtained by matrix diagonalization based on particle-hole configurations (T _< andT _>). The densities of the intermediate complex statesJ = = 1^– (T _< andT _>) are calculated with the Saxon-Woods potential. Specific calculations have been made for the nuclei of⁶⁰Ni and⁹⁰Zr.     

22Ne(a,n)25Mg reaction in CONe mantle of massive stars at high temperatures

The effectiveness of²²Ne (a, n)²⁵Mg reaction as a neutron source is examined at high temperatures 0.8?T ₉?3.0 (T ₉ is the temperature in units of 10⁹ K). An assembly consisting of¹²C,¹⁶O, and²²Ne is considered at the end of helium burning in some massive stars. Alpha particles necessary for this neutron producing reaction are assumed to be due to reactions involving¹²C and¹⁶O nuclei. Assuming²²Ne as the only neutron absorber, the number density of neutrons is calculated. The mantles outside the cores of massive stars are possibly the physical sites for these reactions.     

The influence of correlations on the odd-mass Nuclei21Ne and25Mg

Excitation energies and electromagnetic properties of the low energy spectra of²¹Ne and²⁵Mg have been calculated using the Multi-Configuration-Hartree-Fock (MCHF) model. BothT=0 andT=1 pairing correlations are found to be simultaneously important in those odd mass nuclei. Furthermore, though axial symmetry was requested, quite good agreement with the experimental data is reached.     

New aspects of the rotational model in25Mg

Spin assignments have been made to the²⁵Mg levels in theE _x=5–6 MeV region fromγ-ray angular distributions measured in the²²Ne(α, n y) reaction atE _α=8.0 and 8.8 MeV and fromp-γ angular correlations measured in the²⁴Mg(d, p γ) reaction atE _d=6 MeV. Unique spin assignments ofJ=7/2, 5/2, 5/2, and 9/2 could be made to the levels atE _x=5005, 5511, 5851, and 5967 keV, respectively. Ambigious assignments have been made to the levels atE _x=5245, 5524, 5785, 6032 keV (J=11/2, 7/2), 5455 keVJ=13/2, 9/2), and 5738 keV (J=3/2, 5/2). The present data confirm previous assignments ofJ=1/2 to the levels atE _x=5108 and 5466 keV, respectively. Lifetime estimates have been obtained, using the Doppler-shift attenuation method, for the levels atE _x=5245 keV (τ=30–60 fs), 5785 keV (τ=50–100 fs), 5967 keV (τ=50–100 fs), and 5455 keV (τ>1ps). All other levels in theE _x=5–6 MeV region haveτ<60 fs. A breakdown of theK-selection rule has been observed in theγ-decay of some high spin states, indicating a deviation from the strong coupling model.     

Resonance strength measurements and thermonuclear reaction rates for 25Mg(p, γ)26Al (II)

The strengths of resonances in ${}^{25}\text{Mg(p}\text{, γ)}{}^{26}\text{Al}$ have been measured in the energy range E_p = 600–1730 keV. Several serious disagreements with previously published results are reported. Thermonuclear reaction rates are calculated for the temperature range (0.5–10) × 10⁹ K for production of ²⁶Al in its ground state and in its isomeric first excited state. Total thermonuclear reaction rates are compared with those calculated from statistical-model cross sections and, even in energy ranges where the experimental cross section derives from widely spaced resonances, the agreement is very good. The establishment of a thermal population of ²⁶Al excited states in a stellar environment is discussed, with both electromagnetic transitions and proton inelastic and superelastic scattering as the thermalising processes.     

NMR of 29Si and 25Mg In Mg2SiO4 with dynamic polarization technique

Nuclear magnetic resonance of ²⁹Si and ²⁵Mg in natural abundance has been observed in Cr³⁺ doped Mg₂SiO₄ after cooling the nuclear spin system by dynamic nuclear polarization. The quadrupole coupling tensors of ²⁵Mg at the 4a and 4c positions have been determined.     

90,91Zr photoproton spectra and the core-excitation model

Photoproton energy spectra have been measured for the ^90,91Zr(γ,P)^89,90Y reactions at an E_γ endpoint energy of 30 MeV, and for the ^90,91Zr,(e, e'p)^89,90Y reactions at a number of different electron beam energies around E_e = 21 MeV. Isotopically enriched target foils of metallic ⁹⁰Zr(97.65%) and ⁹¹Zr(89.2%) were used, and the proton spectra measured at 90°. Prominent proton groups are observed in the ⁹¹Zr spectra, particularly around E_p ≈ 11 MeV, which closely resemble groups produced in the ⁹⁰Zr photoreactions. Moreover, the correlating non-ground state proton groups are being produced in transitions leaving the corresponding ⁸⁹Y, ⁹⁰Y residual nuclei in excited levels which also correlate in energy. These photoproton groups from ⁹⁰Zr have previously been identified as representing T_> strength. A qualitative explanation is proposed in terms of the core-excitation model, in which the structure in the ⁹¹Zr proton spectrum is described as representing dipole $\text{T}{}_{\mathrm{>}}\text{(T =}\text{13}\text{2}\text{)}$ strength formed by coupling the 2d$\text{5}\text{2}$ neutron to dipole T_> (T = 6) excitations of a ⁹⁰Zr core.     

The24Mg(p,t) reaction at 50 MeV

Angular distributions are given for tritons from the ground and first two excited states of the²⁴Mg(p, t)²²Mg reaction. Excitation energies, spins and parities of these levels are given, and a new level also reported.