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Experimental constraints on the $gamma$-ray strength function in $^{90}$Zr using partial cross sections of the $^{89}$Y(p,$gamma$)$^{90}$Zr reaction

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 Added by Lars Netterdon
 Publication date 2015
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and research's language is English




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Partial cross sections of the $^{89}$Y(p,$gamma$)$^{90}$Zr reaction have been measured to investigate the $gamma$-ray strength function in the neutron-magic nucleus $^{90}$Zr. For five proton energies between $E_p=3.65$ MeV and $E_p=4.70$ MeV, partial cross sections for the population of seven discrete states in $^{90}$Zr have been determined by means of in-beam $gamma$-ray spectroscopy. Since these $gamma$-ray transitions are dominantly of $E1$ character, the present measurement allows an access to the low-lying dipole strength in $^{90}$Zr. A $gamma$-ray strength function based on the experimental data could be extracted, which is used to describe the total and partial cross sections of this reaction by Hauser-Feshbach calculations successfully. Significant differences with respect to previously measured strength functions from photoabsorption data point towards deviations from the Brink-Axel hypothesis relating the photo-excitation and de-excitation strength functions.



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In this work, we present new data on the $^{89}$Y($gamma$,n) cross section studied with a quasi-monochromatic photon beam produced at the NewSUBARU synchrotron radiation facility in Japan contributing torwards resolving a long standing discrepancy between existing measurements of this cross section. Results for $gamma$-ray strength function below threshold obtained by applying the Oslo method to $^{89}$Y($p,pgamma$)$^{89}$Y coincidences combined with the $^{89}$Y($gamma$,n) data this providing experimental data for the $gamma$-ray strength function of $^{89}$Y for $gamma$ energies in the range of $approx 1.6$ Mev to $approx$ 20 MeV. A low-energy enhancement is seen for $gamma$-rays below $approx 2.5$ MeV. Shell-model calculations indicate that this feature is caused by strong, low-energy $M1$ transitions at high excitation energies. The nuclear level density and $gamma$-ray strength function have been extracted from $^{89}$Y($d,p gamma$)$^{90}$Y coincidences using the Oslo method. Using the ($gamma,n$) and ($d,pgamma$) data as experimental constraints, we have calculated the $^{89}$Y($n,gamma$)$^{90}$Y cross section with the TALYS reaction code. Our results have been compared with directly measured (n,$gamma$) cross sections and evaluations. The $N=50$ isotope $^{89}$Y is an important bottleneck in the s-process and the magnitude of the $^{89}$Y(n,$gamma)$ cross section is key to understanding how s-process stars produce heavy isotopes.
The nuclear level density and the $gamma$-ray strength function have been extracted for $^{89}$Y, using the Oslo Method on $^{89}$Y($p,p gamma$)$^{89}$Y coincidence data. The $gamma$-ray strength function displays a low-energy enhancement consistent with previous observations in this mass region ($^{93-98}$Mo). Shell-model calculations give support that the observed enhancement is due to strong, low-energy $M1$ transitions at high excitation energies. The data were further used as input for calculations of the $^{88}$Sr($p,gamma$)$^{89}$Y and $^{88}$Y($n,gamma$)$^{89}$Y cross sections with the TALYS reaction code. Comparison with cross-section data, where available, as well as with values from the BRUSLIB library, shows a satisfying agreement.
An extended database of experimental data is needed to address uncertainties of the nuclear-physics input parameters for Hauser-Feshbach calculations. Especially $alpha$+nucleus optical model potentials at low energies are not well known. The in-beam technique with an array of high-purity germanium (HPGe) detectors was successfully applied to the measurement of absolute cross sections of an ($alpha$,$gamma$) reaction on a heavy nucleus at sub-Coulomb energies. The total and partial cross-section values were measured by means of in-beam $gamma$-ray spectroscopy. Total and partial cross sections were measured at four different $alpha$-particle energies from $E_alpha = 10.5$ MeV to $E_alpha = 12$ MeV. The measured total cross-section values are in excellent agreement with previous results obtained with the activation technique, which proves the validity of the applied method. The experimental data was compared to Hauser-Feshbach calculations using the nuclear reaction code TALYS. A modified version of the semi-microscopic $alpha$+nucleus optical model potential OMP 3, as well as modified proton and $gamma$ widths, are needed in order to obtain a good agreement between experimental data and theory. It is found, that a model using a local modification of the nuclear-physics input parameters simultaneously reproduces total cross sections of the $^{112}$Sn($alpha$,$gamma$) and $^{112}$Sn($alpha$,p) reactions. The measurement of partial cross sections turns out to be very important in this case in order to apply the correct $gamma$-ray strength function in the Hauser-Feshbach calculations. The model also reproduces cross-section values of $alpha$-induced reactions on $^{106}$Cd, as well as of ($alpha$,n) reactions on $^{115,116}$Sn, hinting at a more global character of the obtained nuclear-physics input.
Nuclear level densities (NLDs) and $gamma$-ray strength functions ($gamma$SFs) have been extracted from particle-$gamma$ coincidences of the $^{92}$Zr($p,p gamma$)$^{92}$Zr and $^{92}$Zr($p,d gamma$)$^{91}$Zr reactions using the Oslo method. The new $^{91,92}$Zr $gamma$SF data, combined with photonuclear cross sections, cover the whole energy range from $E_{gamma} approx 1.5$~MeV up to the giant dipole resonance at $E_{gamma} approx 17$~MeV. The wide-range $gamma$SF data display structures at $E_{gamma} approx 9.5$~MeV, compatible with a superposition of the spin-flip $M1$ resonance and a pygmy $E1$ resonance. Furthermore, the $gamma$SF shows a minimum at $E_{gamma} approx 2-3$~MeV and an increase at lower $gamma$-ray energies. The experimentally constrained NLDs and $gamma$SFs are shown to reproduce known ($n, gamma$) and Maxwellian-averaged cross sections for $^{91,92}$Zr using the {sf TALYS} reaction code, thus serving as a benchmark for this indirect method of estimating ($n, gamma$) cross sections for Zr isotopes.
456 - A.Esser , M.Thiel , P.Achenbach 2020
We report on a new measurement of the beam-normal single spin asymmetry $A_{mathrm{n}}$ in the elastic scattering of 570 MeV transversely polarized electrons off $^{28}$Si and $^{90}$Zr at $Q^{2}=0.04, mathrm{GeV}^2/c^2$. The studied kinematics allow for a comprehensive comparison with former results on $^{12}$C. No significant mass dependence of the beam-normal single spin asymmetry is observed in the mass regime from $^{12}$C to $^{90}$Zr.
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