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arXiv 1909.06013nucl-th
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赝矢量π-核子耦合下的电荷相关波恩势

The charge-dependent Bonn potentials with pseudovector pion-nucleon coupling

Chencan Wang, Jinniu Hu, Ying Zhang, Hong Shen

摘要:

为了将高精度的真实核子-核子($NN$)势应用于相对论多体方法的研究,在赝矢量π介子-核子耦合中构造了新的电荷相关波恩(CD-Bonn)$NN$势,取代了Machleidt [Phys.Rev.C63,024001(2001)]中的赝标量形式.引入了两个有效标量介子,它们与核子的耦合常数在总角动量$J\leq 4$的每个分波处独立确定,精确描述了$NN$散射数据的电荷依赖性,而矢量、赝矢量介子与核子的耦合常数在所有通道中是相同的.通过对Nijmegen PWA相移数据和不同π-核子耦合强度下的氘核结合能进行拟合,得到了3个采用赝矢量π-核子耦合的修正CD-Bonn势(pvCD-Bonn),它们能很好地再现自旋单通道下的相移和低能$NN$散射参数,并能提供自旋三重态通道下明显不同的混合参数.此外,从这些势中得到的氘的$D$态几率范围为$4.22\%$到$6.05\%$ .这将有助于讨论张量力在核少体和多体系统中的作用。

英文摘要:

To apply the high-precision realistic nucleon-nucleon ($NN$) potentials on the investigations of relativistic many-body methods, the new versions of charge-dependent Bonn (CD-Bonn) $NN$ potential are constructed within the pseudovector pion-nucleon coupling instead of the pseudoscalar type in the original CD-Bonn potential worked out by Machleidt [Phys. Rev. C 63, 024001 (2001)]. Two effective scalar mesons are introduced, whose coupling constants with nucleon are independently determined at each partial wave for total angular momentum $J\leq 4$, to describe the charge dependence of $NN$ scattering data precisely, while the coupling constants between vector, pseudovector mesons and nucleon are identical in all channels. Three revised CD-Bonn potentials adopting the pseudovector pion-nucleon couplings (pvCD-Bonn) are generated by fitting the Nijmegen PWA phase shift data and deuteron binding energy with different pion-nucleon coupling strengths, which can reproduce the phase shifts at spin-single channels and low-energy $NN$ scattering parameters very well, and provide the significantly different mixing parameters at spin-triplet channels. Furthermore, the $D$-state probabilities of deuteron from these potentials range from $4.22\%$ to $6.05\%$. It demonstrates that these potentials contain different components of tensor force, which will be useful to discuss the roles of tensor force in nuclear few-body and many-body systems.

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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