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arXiv 0905.3119nucl-th
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用重子手征微扰理论研究${}^{3}{He}$上的热中子俘获

Heavy-baryon chiral perturbation theory approach to thermal neutron capture on ${}^{3}{He}$

Rimantas Lazauskas, Young-Ho Song, Tae-Sun Park

摘要:

基于重子手征微扰理论计算了辐射热中子在${}^{3}He$($\He3 +n \to \He4 +γ$ ;称为$hen$反应)上的俘获截面。相关的M1算子被导出到次-前导阶(N ${}^3$ LO)。从严格的Faddeev-Yakubovski方程出发,得到了五组真实核相互作用的初始和最终核波函数。直到N ${}^3$ LO,M1算符包含两个低能常数,它们表现为非导数的两核子接触项的系数。在确定这两个常数使用的实验值的triton和${}^3 He$的磁矩,我们进行了无参数计算的$hen$截面。计算结果与实测数据吻合较好。

英文摘要:

The cross section for radiative thermal neutron capture on ${}^{3}He$ ($\He3 +n \to \He4 +γ$; known as the $hen$ reaction) is calculated based on heavy-baryon chiral perturbation theory. The relevant M1 operators are derived up to next-to-next-to-next-to-leading order (N${}^3$LO). The initial and final nuclear wave functions are obtained from the rigorous Faddeev-Yakubovski equations for five sets of realistic nuclear interactions. Up to N${}^3$LO, the M1 operators contain two low-energy constants, which appear as the coefficients of non-derivative two-nucleon contact terms. After determining these two constants using the experimental values of the magnetic moments of the triton and ${}^3 He$, we carry out a parameter-free calculation of the $hen$ cross section. The results are in good agreement with the data.

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。

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