arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2104.02693nucl-thnucl-ex
收藏

自旋/宇称相关能级密度

Spin/Parity Dependent Level Density

Richard B. Firestone

摘要:

结果表明,核能级密度的恒温(CT)模型是核能级间距的对称泊松分布的直接结果。描述总能级密度的标准CT模型被证明是致命的缺陷,由于在Yrast能量的不连续性,新的$J^π$序列的开始,破坏指数公式,并导致后移参数成为非物理负。提出了一种新的CT-JPI能级密度模型,该模型具有恒定的温度和对每个$J^π$序列单独的后移参数。CT-JPI模型也被约束,以再现由埃里克森的自旋分布函数预测的中子分离能的自旋分布。描述了一种从原子核结构和共振数据确定温度$T$、回移$E_0(J^π)$和自旋截止参数$σ_c$的拟合方法。对Z=7-92的46个原子核,用CT-JPI模型成功地预测了各种自旋和宇称的能级密度。与先前的预测不同,自旋截止参数没有显示出质量依赖性,而是在所有质量区域都有很大的变化。

英文摘要:

It is shown that the Constant Temperature (CT) model of nuclear level density is a direct consequence of a symmetrized Poisson distribution of nuclear level spacings. The standard CT model describing the total level density is shown to be fatally flawed due to discontinuities at the Yrast energies, the onset of new $J^π$ sequences, that disrupt the exponential formula and cause the back shift parameter to become nonphysically negative. A new CT-JPI level density model is proposed with a constant temperature and separate back shift parameters for each $J^π$ sequence. The CT-JPI model is also constrained to reproduce the spin distribution predicted by Ericson's spin distribution function at the neutron separation energy. A fitting procedure is described for determining the temperature $T$, back shifts $E_0(J^π)$, and spin cutoff parameters $σ_c$ from nuclear structure and resonance data. The CT-JPI model is demonstrated to successfully predict the level densities for a wide range of spins and parities for 46 nuclear with Z=7-92. In variance with earlier predictions the spin cut-off parameters show no mass dependence and instead substantial variation at all mass regions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑