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arXiv 2106.09088nucl-thnucl-ex
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0-30 MeV的水平密度

Level Densities from 0-30 MeV

R. B. Firestone

摘要:

在光核反应中测量的光子强度$f(E_γ)$是每MeV的平均能级密度$ρ(E_x)$和平均约化能级宽度$Γ_γ/E_γ^3$的乘积,其中能级主要由激发能$E_x=E_γ$的E1跃迁填充。它可以用修改后的Brink-Axel(BA)公式计算,以包括来自巨偶极共振(GDR)和更高的共振的贡献。计算了原子序数在Z=14-92之间的17个核的能级密度和约化宽度。用CT-JPI模型计算了GDR能量以下的能级密度,并与BA光子强度相结合,以确定相关的约化宽度。约化宽度随能级能量呈指数变化,可以外推到更高的能量。然后将外推的宽度与BA光子强度相结合,以确定更高能量下的能级密度。的水平密度被发现在低能量下呈指数增加,峰值附近的GDR能量由于在$2\hbarω$壳封闭的新状态的出现,并继续增加不太迅速,至少30兆电子伏。并与费米气体能级密度(FGLD)、后移费米气体(BSFG)和Hartree-Fock-Bogoliubov(HFB)模型进行了比较。发现与几乎相同的FGLD和BDFG模型的良好协议,而HFB模型给出了显着较低的水平密度。一组通用的FGLD模型参数被确定为适用于所有核的质量和温度的函数。

英文摘要:

Photon strength, $f(E_γ)$, measured in photonuclear reactions, is the product of the average level density per MeV, $ρ(E_x)$, and the average reduced level width, $Γ_γ/E_γ^3$ for levels populated primarily by E1 transitions at an excitation energy $E_x=E_γ$. It can be calculated with the Brink-Axel (BA) formulation modified to include contributions from the Giant Dipole Resonance (GDR) and higher lying resonances. Level densities and reduced widths have been calculated for 17 nuclei with atomic numbers between Z=14-92. Level densities below the GDR energy were calculated with the CT-JPI model and combined with the BA photon strength to determine the associated reduced widths. The reduced widths varied exponentially with level energy and could be extrapolated up to higher energies. The extrapolated widths were then combined with the BA photon strength to determine the level densities at higher energies. The level densities are found to increase exponentially at low energies, peak near the GDR energy due to the appearance of new states at the $2\hbarω$ shell closure, and continue to increase less rapidly up to at least 30 MeV. The average level densities have been compared with the Fermi Gas Level Density (FGLD), Back-Shifted Fermi Gas (BSFG), and Hartree-Fock-Bogoliubov (HFB) models. Good agreement is found with the nearly identical FGLD and BDFG models, while the HFB models gives substantially lower level densities. A universal set of FGLD model parameters were determined as a function of mass and temperature that are applicable to all nuclei.

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