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arXiv 1209.2145nucl-thhep-ph
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π-氘散射中的多重散射级数真的收敛吗?

Does the Multiple-scattering Series in the Pion-deuteron Scattering Actually Converge?

Alexander E. Kudryavtsev, Alexander I. Romanov, Vakhid A. Gani

摘要:

结果表明,在固定中心近似(FCA)下计算的轻粒子与一对静态核子相互作用的多重散射级数(MSS)在两体复散射长度$a$的宽范围内是适用的.然而,该方法不适用于围绕实正$a$半轴的狭窄区域,其中MSS不收敛。同时,对于实正的$a$,三体系统形成无限多的束缚态.

英文摘要:

It is demonstrated that the well-known answer for the multiple-scattering series (MSS) for a light particle interacting to a pair of static nucleons, calculated in the Fixed Centers Approximation (FCA), works well for a wide region of the two-body complex scattering length $a$. However, this approach is not applicable in a narrow region surrounding the real positive $a$ half-axis, where the MSS does not converge. Simultaneously, for real positive $a$'s the 3-body system forms an infinite set of bound states.

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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