论文标题

$ n+{}^3 $ h,$ p+{}^3 $ he,$ p+{}^3 $ h和$ n+{}^3 $ He用HH方法散射的研究

Study of $n+{}^3$H, $p+{}^3$He, $p+{}^3$H, and $n+{}^3$He scattering with the HH method

论文作者

Viviani, M., Girlanda, L., Kievsky, A., Marcucci, L. E.

论文摘要

$ n+{}^3 $ h,$ p+{}^3 $ he,$ p+{}^3 $ h,以及$ n+{}^3 $ he弹性和低能的电荷交换反应,通过超球谐波方法研究。所考虑的核汉密尔顿人包括现代的两种和三核子相互作用,特别是在手性的两核子电位的情况下报告的结果,有和不包括手性的三核子(3N)相互作用。提出了该方法的收敛性和数值稳定性的详细研究。我们发现,3N力通常是很小的,除了$ p+{}^3 $ h散射在$ n+{}^3 $ he通道的开口下方。在这种情况下,3N力的作用是明显的,并且明确地依赖于用于使相互作用的高弹药尾部正规化的截止。这样的依赖性与众所周知的Sharp $ 0^+$共振的存在有关,这被认为是$ {}^4 $ He的第一个激发态。

The $n+{}^3$H, $p+{}^3$He, $p+{}^3$H, and $n+{}^3$He elastic and charge exchange reactions at low energies are studied by means of the hyperspherical harmonic method. The considered nuclear Hamiltonians include modern two- and three-nucleon interactions, in particular results are reported in case of chiral two-nucleon potentials, with and without the inclusion of chiral three-nucleon (3N) interactions. A detailed study of the convergence and numerical stability of the method is presented. We have found that the effect the 3N force is in general tiny except for $p+{}^3$H scattering below the opening of the $n+{}^3$He channel. In such a case, the effect of 3N forces is appreciable and a clear dependence on the cutoff used to regularize the high-momentum tail of the interactions is observed. Such a dependence is related to the presence of the poorly known sharp $0^+$ resonance, considered to be the first excited state of ${}^4$He.

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