Power Counting in Peripheral Partial Waves: The Singlet Channels

Abstract : We analyze the power counting of the peripheral singlet partial waves in nucleon-nucleon scattering. In agreement with conventional wisdom, we find that pion exchanges are perturbative in the peripheral singlets. We quantify from the effective field theory perspective the well-known suppression induced by the centrifugal barrier in the pion-exchange interactions. By exploring perturbation theory up to fourth order, we find that the one-pion-exchange potential in these channels is demoted from leading to subleading order by a given power of the expansion parameter that grows with the orbital angular momentum. We discuss the implications of these demotions for few-body calculations: though higher partial waves have been known for a long time to be irrelevant in these calculations (and are hence ignored), here we explain how to systematize the procedure in a way that is compatible with the effective field theory expansion.
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Submitted on : Friday, December 2, 2016 - 2:59:09 PM
Last modification on : Tuesday, November 20, 2018 - 10:03:49 AM

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M. Pavón Valderrama, M. Sánchez Sánchez, C.J. Yang, B. Long, J. Carbonell, et al.. Power Counting in Peripheral Partial Waves: The Singlet Channels. Physical Review C, American Physical Society, 2017, 95, pp.054001. ⟨10.1103/PhysRevC.95.054001⟩. ⟨in2p3-01407750⟩

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