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arXiv 1202.0368nucl-thnucl-ex
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$^4$ He光吸收的从头算研究

Ab initio study of the photoabsorption of $^4$He

W. Horiuchi, Y. Suzuki, K. Arai

摘要:

$^4$ He的光吸收截面的低能数据存在一些差异。我们计算的截面与现实的核力和明确相关的高斯函数。考虑了末态相互作用和两体和三体衰变通道。用两种方法计算了截面:用复标度法计算了π介子的总吸收截面,用微观$R$ -矩阵法计算了40 MeV以下的截面$^4$ He($γ, p$)$^3$ H和$^4$ He($γ, n$)$^3$ He.这两种方法得到的结果几乎相同。截面从$^3$ H+ $p$阈值开始急剧上升,在26- 27 μ MeV处达到巨共振峰。我们的计算重现了30,MeV以上的几乎所有数据。我们强调了$^3$ H+ $p$和$^3$ He+ $n$团簇构型对截面的重要性以及一π交换势对光核求和规则的影响。

英文摘要:

There are some discrepancies in the low energy data on the photoabsorption cross section of $^4$He. We calculate the cross section with realistic nuclear forces and explicitly correlated Gaussian functions. Final state interactions and two- and three-body decay channels are taken into account. The cross section is evaluated in two methods: With the complex scaling method the total absorption cross section is obtained up to the rest energy of a pion, and with the microscopic $R$-matrix method both cross sections $^4$He($γ, p$)$^3$H and $^4$He($γ, n$)$^3$He are calculated below 40\,MeV. Both methods give virtually the same result. The cross section rises sharply from the $^3$H+$p$ threshold, reaching a giant resonance peak at 26--27\,MeV. Our calculation reproduces almost all the data above 30\,MeV. We stress the importance of $^3$H+$p$ and $^3$He+$n$ cluster configurations on the cross section as well as the effect of the one-pion exchange potential on the photonuclear sum rule.

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