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Effective field theory for shallow P-wave states

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arxiv 2104.01823 v1 pith:V4KOVMKS submitted 2021-04-05 nucl-th hep-phhep-th

E. Epelbaum , J. Gegelia , H.P. Huesmann , U.-G. Mei{ss}ner , X.-L. Ren This is my paper
classification nucl-thhep-phhep-th
keywords p-waverenormalizationdiscusseffectivefieldformulationnumberonly
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss the formulation of a non-relativistic effective field theory for two-body P-wave scattering in the presence of shallow states and critically address various approaches to renormalization proposed in the literature. It is demonstrated that the consistent renormalization involving only a finite number of parameters in the well-established formalism with auxiliary dimer fields corresponds to the inclusion of an infinite number of counterterms in the formulation with contact interactions only. We also discuss the implications from the Wilsonian renormalization group analysis of P-wave scattering.

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