Static Model Using Crossing-Symmetric Off-Shell Equations Satisfying Two-Particle Unitarity

نموذج ساكن باستخدام معادلات خارج قشرة الكتلة متناظرة العبور تُحقق واحدية الجسيمين

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ID: 270647
1969
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Abstract
Off-shell equations for the π−p and π+p elastic scattering amplitudes are derived for a static model, based on charged scalar theory. These amplitudes satisfy elastic unitarity below the three-particle cut and are related by crossing symmetry. The equations are solved numerically in the bound-state region for the entire range of coupling, and the results compared with the known results of charged scalar theory. In particular, calculations of the bound-state N++ are reasonable. Possible extensions to more realistic models are discussed.
تُشتق معادلات خارج قشرة الكتلة لسعات الاستطارة المرنة لـ π−p و π+p في نموذج ساكن مستند إلى النظرية القياسية المشحونة. وتحقق هذه السعات الوحدانية المرنة دون قطع الجسيمات الثلاثة، وترتبط فيما بينها عبر تناظر العبور. وتُحلّ المعادلات عددياً في منطقة الحالة المقيدة على كامل نطاق الاقتران، وتُقارن النتائج بالنتائج المعروفة للنظرية القياسية المشحونة. وعلى وجه الخصوص، تُعد حسابات الحالة المقيدة ++N معقولة. كما تُناقش الإمكانات المحتملة للتوسع نحو نماذج أكثر واقعية.
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rubin1969physicalstatic Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors
Journal physical review
Year 1969
DOI
10.1103/physrev.188.2426
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