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Title: Short-range nuclear forces in singlet channels

Abstract

Continuing our effort to build a consistent power counting for chiral nuclear effective field theory, we discuss the subleading contact interactions, or counterterms, in the singlet channels of nucleon-nucleon scattering, with renormalization group invariance as the constraint. We argue that the rather large cutoff error of the leading amplitude requires O(Q) of the low-energy approximation to be non-vanishing, contrary to Weinberg's original power counting. This, together with the ultraviolet divergences of two pion exchanges in distorted-wave expansion, leads to enhancement of the 1S0 counterterms and results in a pionless theory-like power counting for the singlet channels.

Authors:
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1050192
Report Number(s):
JLAB-THY-12-1495; DOE/OR/23177-2011; arXiv:1202.4053
Journal ID: ISSN 0556-2813; PRVCAN; TRN: US1204554
DOE Contract Number:  
AC05-06OR23177
Resource Type:
Journal Article
Journal Name:
Physical Review, C (Nuclear Physics)
Additional Journal Information:
Journal Volume: 86; Journal Issue: 2; Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; APPROXIMATIONS; NUCLEAR FORCES; PIONS; RENORMALIZATION; SCATTERING; ULTRAVIOLET DIVERGENCES

Citation Formats

Bingwei Long, Chiehjen Yang. Short-range nuclear forces in singlet channels. United States: N. p., 2012. Web. doi:10.1103/PhysRevC.86.024001.
Bingwei Long, Chiehjen Yang. Short-range nuclear forces in singlet channels. United States. https://doi.org/10.1103/PhysRevC.86.024001
Bingwei Long, Chiehjen Yang. 2012. "Short-range nuclear forces in singlet channels". United States. https://doi.org/10.1103/PhysRevC.86.024001.
@article{osti_1050192,
title = {Short-range nuclear forces in singlet channels},
author = {Bingwei Long, Chiehjen Yang},
abstractNote = {Continuing our effort to build a consistent power counting for chiral nuclear effective field theory, we discuss the subleading contact interactions, or counterterms, in the singlet channels of nucleon-nucleon scattering, with renormalization group invariance as the constraint. We argue that the rather large cutoff error of the leading amplitude requires O(Q) of the low-energy approximation to be non-vanishing, contrary to Weinberg's original power counting. This, together with the ultraviolet divergences of two pion exchanges in distorted-wave expansion, leads to enhancement of the 1S0 counterterms and results in a pionless theory-like power counting for the singlet channels.},
doi = {10.1103/PhysRevC.86.024001},
url = {https://www.osti.gov/biblio/1050192}, journal = {Physical Review, C (Nuclear Physics)},
issn = {0556-2813},
number = 2,
volume = 86,
place = {United States},
year = {Wed Aug 01 00:00:00 EDT 2012},
month = {Wed Aug 01 00:00:00 EDT 2012}
}