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arXiv 1507.02807nucl-th
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基于手征双核子和三核子力的质子和$^{4}$ He核散射的微观计算

Microscopic calculations based on chiral two- and three-nucleon forces for proton- and $^{4}$He-nucleus scattering

Masakazu Toyokawa, Masanobu Yahiro, Takuma Matsumoto, Kosho Minomo, Kazuyuki Ogata, Michio Kohno

摘要:

采用Brueckner-Hartree-Fock(BHF)方法和$g$ -矩阵折叠模型组成的标准微观框架,研究了手征三核子力(3 NF)对65 MeV质子和72 MeV/核子$^{4}$ He与重靶散射的影响.对于核物质,用BHF方法从N $^{3}$ LO的手征双核子力(2NF)和NNLO的手征3 NF计算了$g$矩阵。由于这样得到的$g$矩阵是数值的和非局部的,最佳的局部形式是由$g$矩阵的壳上和近壳上分量确定的,这对弹性散射是重要的。对于弹性散射,光学势计算通过折叠的本地手征$g$矩阵与弹丸和目标的密度。这种微观框架再现了实验数据,而不引入任何可调参数。对于质子散射,手性-3 NF效应很小,但对于$^{4}$ He在中间角度的散射(数据可用),手性-3 NF效应相当大。手性3 NF,主要在2 $π$ -交换图中,使得折叠势对所有散射的吸引力较小且吸收性更强。

英文摘要:

We investigate the effects of chiral three-nucleon force (3NF) on proton scattering at 65 MeV and $^{4}$He scattering at 72 MeV/nucleon from heavier targets, using the standard microscopic framework composed of the Brueckner-Hartree-Fock (BHF) method and the $g$-matrix folding model. For nuclear matter, the $g$ matrix is evaluated from chiral two-nucleon force (2NF) of N$^{3}$LO and chiral 3NF of NNLO by using the BHF method. Since the $g$ matrix thus obtained is numerical and nonlocal, an optimum local form is determined from the on-shell and near-on-shell components of $g$ matrix that are important for elastic scattering. For elastic scattering, the optical potentials are calculated by folding the local chiral $g$ matrix with projectile and target densities. This microscopic framework reproduces the experimental data without introducing any adjustable parameter. Chiral-3NF effects are small for proton scattering, but sizable for $^{4}$He scattering at middle angles where the data are available. Chiral 3NF, mainly in the 2$π$-exchange diagram, makes the folding potential less attractive and more absorptive for all the scattering.

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