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arXiv 1606.06335nucl-th
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局域手征势与轻核结构

Local chiral potentials and the structure of light nuclei

Maria Piarulli, Luca Girlanda, Rocco Schiavilla, Alejandro Kievsky, Alessandro Lovato, Laura E. Marcucci, Steven C. Pieper, Michele Viviani, Robert B. Wiringa

摘要:

本文给出了在[M.]中构造的最小非定域核子-核子势的完全定域形式。Piarulli { \it等},物理学\修订版本\ C { \bf 91},024003(2015)],并将它们用于$^3$ H、$^3$ He、$^4$ He、$^6$ He和$^6$ Li核的基态和激发态的超周谐波和量子蒙特卡罗计算。这些本地潜力的长程部分包括一个和两个π交换贡献没有和与$Δ$ -同量异位素的中间状态的顺序$Q^3$($Q$表示一般的低动量尺度)的手征扩展,而短程部分包括接触相互作用的顺序$Q^4$。将乘以这些接触相互作用的低能常数在两个不同的实验室能量范围(0- 125 MeV或0- 200 MeV)中拟合到2013年Granada数据库,并拟合到氘结合能和$nn$单线态散射长度。对这些数据进行拟合的三个模型的特点是长期和短期截断,$R_{\rm L}$和$R_{\rm S}$分别,范围从$(R_{\rm L},R_{\rm S})=(1.2,0.8)$ fm下降到$(0.8,0.6)$ fm。长程(短程)截止使势能的一π和二π交换(接触)部分正规化。

英文摘要:

We present fully local versions of the minimally non-local nucleon-nucleon potentials constructed in a previous paper [M.\ Piarulli {\it et al.}, Phys.\ Rev.\ C {\bf 91}, 024003 (2015)], and use them in hypersperical-harmonics and quantum Monte Carlo calculations of ground and excited states of $^3$H, $^3$He, $^4$He, $^6$He, and $^6$Li nuclei. The long-range part of these local potentials includes one- and two-pion exchange contributions without and with $Δ$-isobars in the intermediate states up to order $Q^3$ ($Q$ denotes generically the low momentum scale) in the chiral expansion, while the short-range part consists of contact interactions up to order $Q^4$. The low-energy constants multiplying these contact interactions are fitted to the 2013 Granada database in two different ranges of laboratory energies, either 0--125 MeV or 0--200 MeV, and to the deuteron binding energy and $nn$ singlet scattering length. Fits to these data are performed for three models characterized by long- and short-range cutoffs, $R_{\rm L}$ and $R_{\rm S}$ respectively, ranging from $(R_{\rm L},R_{\rm S})=(1.2,0.8)$ fm down to $(0.8,0.6)$ fm. The long-range (short-range) cutoff regularizes the one- and two-pion exchange (contact) part of the potential.

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