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PhysRevC.95.054001.pdf
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345.1Kb
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FInal Published Version
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AMER PHYSICAL SOCCitation
Power counting in peripheral partial waves: The singlet channels 2017, 95 (5) Physical Review CJournal
Physical Review CRights
© 2017 American Physical Society.Collection Information
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.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 partialwaves 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.ISSN
2469-99852469-9993
Version
Final published versionSponsors
U.S. Department of Energy, Office of Science, Office of Nuclear Physics [DE-FG02-04ER41338]; European Union [654002]; Fundamental Research Funds for the Central Universitie; National Natural Science Foundation of China (NSFC) [11375024, 11522539]; NSFC [11375120]Additional Links
http://link.aps.org/doi/10.1103/PhysRevC.95.054001ae974a485f413a2113503eed53cd6c53
10.1103/PhysRevC.95.054001