Nucleon-nucleon scattering with perturbative pions: The uncoupled P-wave channels

Habashi, J. B.

doi:10.1103/physrevc.105.024002

Nucleon-nucleon scattering with perturbative pions: The uncoupled P-wave channels

Journal Article · Thu Feb 24 00:00:00 EST 2022 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.105.024002· OSTI ID:1903326

^[1]

Univ. of Arizona, Tucson, AZ (United States); University of Arizona, Physics

Here, the uncoupled P-wave channels of nucleon-nucleon scattering are studied in an effective field theory (EFT) including a perturbative dibaryon field and perturbative pions. Good agreement between EFT results and the Nijmegen partial wave analysis is observed up to a center-of-mass momentum k ≈ 400 MeV. Using a method that combines renormalization and fitting together, the long-standing convergence problem of EFTs in these channels with perturbative pions, for momenta above the pion mass is addressed from a new perspective.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Arizona, Tucson, AZ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-04ER41338

OSTI ID:: 1903326

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 2 Vol. 105; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (40)

Nuclear forces from chiral lagrangians Weinberg, Steven Physics Letters B, Vol. 251, Issue 2 https://doi.org/10.1016/0370-2693(90)90938-3	journal	November 1990
Baryon chiral perturbation theory using a heavy fermion lagrangian Jenkins, Elizabeth; Manohar, Aneesh V. Physics Letters B, Vol. 255, Issue 4 https://doi.org/10.1016/0370-2693(91)90266-S	journal	February 1991
Chiral lagrangians and nuclear forces Ordóñez, C.; van Kolck, U. Physics Letters B, Vol. 291, Issue 4 https://doi.org/10.1016/0370-2693(92)91404-W	journal	October 1992
Reparameterisation invariance constraints on heavy particle effective field theories Luke, Michael; Manohar, Aneesh V. Physics Letters B, Vol. 286, Issue 3-4 https://doi.org/10.1016/0370-2693(92)91786-9	journal	July 1992
Generalized dimensional analysis Georgi, Howard Physics Letters B, Vol. 298, Issue 1-2 https://doi.org/10.1016/0370-2693(93)91728-6	journal	January 1993
Chiral quarks and the non-relativistic quark model Manohar, Aneesh; Georgi, Howard Nuclear Physics B, Vol. 234, Issue 1 https://doi.org/10.1016/0550-3213(84)90231-1	journal	March 1984
Effective chiral lagrangians for nucleon-pion interactions and nuclear forces Weinberg, Steven Nuclear Physics B, Vol. 363, Issue 1 https://doi.org/10.1016/0550-3213(91)90231-L	journal	September 1991
Nucleon-nucleon scattering from effective field theory Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Nuclear Physics B, Vol. 478, Issue 3 https://doi.org/10.1016/0550-3213(96)00357-4	journal	November 1996
A new expansion for nucleon-nucleon interactions Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Physics Letters B, Vol. 424, Issue 3-4 https://doi.org/10.1016/S0370-2693(98)00210-X	journal	April 1998
A momentum subtraction scheme for two-nucleon effective field theory Mehen, Thomas; Stewart, Iain W. Physics Letters B, Vol. 445, Issue 3-4 https://doi.org/10.1016/S0370-2693(98)01470-1	journal	January 1999
A renormalisation-group treatment of two-body scattering Birse, Michael C.; McGovern, Judith A.; Richardson, Keith G. Physics Letters B, Vol. 464, Issue 3-4 https://doi.org/10.1016/S0370-2693(99)00991-0	journal	October 1999
NNLO corrections to nucleon–nucleon scattering and perturbative pions Fleming, Sean; Mehen, Thomas; Stewart, Iain W. Nuclear Physics A, Vol. 677, Issue 1-4 https://doi.org/10.1016/S0375-9474(00)00221-9	journal	September 2000
Peripheral nucleon-nucleon phase shifts and chiral symmetry Kaiser, N.; Brockmann, R.; Weise, W. Nuclear Physics A, Vol. 625, Issue 4 https://doi.org/10.1016/S0375-9474(97)00586-1	journal	November 1997
Effective field theory of short-range forces van Kolck, U. Nuclear Physics A, Vol. 645, Issue 2 https://doi.org/10.1016/S0375-9474(98)00612-5	journal	January 1999
Quartet S wave neutron deuteron scattering in effective field theory Bedaque, Paulo F.; Grießhammer, Harald W. Nuclear Physics A, Vol. 671, Issue 1-4 https://doi.org/10.1016/S0375-9474(99)00691-0	journal	May 2000
More effective field theory for non-relativistic scattering Kaplan, David B. Nuclear Physics B, Vol. 494, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00178-8	journal	June 1997
Two-nucleon systems from effective field theory Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Nuclear Physics B, Vol. 534, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00440-4	journal	November 1998
Narrow resonances in effective field theory Bedaque, P. F.; Hammer, H. -W.; van Kolck, U. Physics Letters B, Vol. 569, Issue 3-4 https://doi.org/10.1016/j.physletb.2003.07.049	journal	September 2003
Scheming in dimensional regularization Phillips, D. R.; Beane, S. R.; Birse, M. C. Journal of Physics A: Mathematical and General, Vol. 32, Issue 18 https://doi.org/10.1088/0305-4470/32/18/313	journal	January 1999
Perturbative chiral nucleon–nucleon potential for the ³ P ₀ partial wave Peng, Rui; Lyu, Songlin; Long, Bingwei Communications in Theoretical Physics, Vol. 72, Issue 9 https://doi.org/10.1088/1572-9494/aba251	journal	August 2020
Elementary Particle Theory of Composite Particles Weinberg, Steven Physical Review, Vol. 130, Issue 2 https://doi.org/10.1103/PhysRev.130.776	journal	April 1963
Quasiparticles and the Born Series Weinberg, Steven Physical Review, Vol. 131, Issue 1 https://doi.org/10.1103/PhysRev.131.440	journal	July 1963
Nonlinear Realizations of Chiral Symmetry Weinberg, Steven Physical Review, Vol. 166, Issue 5 https://doi.org/10.1103/PhysRev.166.1568	journal	February 1968
Convergence of nuclear effective field theory with perturbative pions Kaplan, David B. Physical Review C, Vol. 102, Issue 3 https://doi.org/10.1103/PhysRevC.102.034004	journal	September 2020
Partial-wave analysis of all nucleon-nucleon scattering data below 350 MeV Stoks, V. G. J.; Klomp, R. A. M.; Rentmeester, M. C. M. Physical Review C, Vol. 48, Issue 2 https://doi.org/10.1103/PhysRevC.48.792	journal	August 1993
Next-to-next-to-leading-order calculation of two-nucleon scattering in an effective field theory Rupak, Gautam; Shoresh, Noam Physical Review C, Vol. 60, Issue 5 https://doi.org/10.1103/PhysRevC.60.054004	journal	October 1999
Long and short of nuclear effective field theory expansions Kaplan, David B.; Steele, James V. Physical Review C, Vol. 60, Issue 6 https://doi.org/10.1103/PhysRevC.60.064002	journal	November 1999
NN scattering 3 S 1 − 3 D 1 mixing angle at next-to-next-to-leading order Fleming, Sean; Mehen, Thomas; Stewart, Iain W. Physical Review C, Vol. 61, Issue 4 https://doi.org/10.1103/PhysRevC.61.044005	journal	March 2000
Renormalization of one-pion exchange and power counting Nogga, A.; Timmermans, R. G. E.; Kolck, U. van Physical Review C, Vol. 72, Issue 5 https://doi.org/10.1103/PhysRevC.72.054006	journal	November 2005
Effective field theory with dibaryon degrees of freedom Soto, Joan; Tarrús, Jaume Physical Review C, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevC.78.024003	journal	August 2008
Effective field theory with dibaryon fields: Nucleon-nucleon amplitudes at N 2 LO Soto, Joan; Tarrús, Jaume Physical Review C, Vol. 81, Issue 1 https://doi.org/10.1103/PhysRevC.81.014005	journal	January 2010
Renormalizing chiral nuclear forces: A case study of 3 P 0 Long, Bingwei; Yang, C. -J. Physical Review C, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevC.84.057001	journal	November 2011
Renormalizing chiral nuclear forces: Triplet channels Long, Bingwei; Yang, C. -J. Physical Review C, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevC.85.034002	journal	March 2012
Improved convergence of chiral effective field theory for 1 S 0 of NN scattering Long, Bingwei Physical Review C, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevC.88.014002	journal	July 2013
Power counting in peripheral partial waves: The singlet channels Valderrama, M. Pavón; Sánchez, M. Sánchez; Yang, C. -J. Physical Review C, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevC.95.054001	journal	May 2017
Two-nucleon S 0 1 amplitude zero in chiral effective field theory Sánchez, M. Sánchez; Yang, C. -J.; Long, Bingwei Physical Review C, Vol. 97, Issue 2 https://doi.org/10.1103/PhysRevC.97.024001	journal	February 2018
Perturbative N N scattering in chiral effective field theory Wu, Shaowei; Long, Bingwei Physical Review C, Vol. 99, Issue 2 https://doi.org/10.1103/PhysRevC.99.024003	journal	February 2019
Nucleon-nucleon potential from an effective chiral Lagrangian Ordóñez, C.; Ray, L.; van Kolck, U. Physical Review Letters, Vol. 72, Issue 13 https://doi.org/10.1103/PhysRevLett.72.1982	journal	March 1994
Nuclear effective field theory: Status and perspectives Hammer, H. -W.; König, Sebastian; van Kolck, U. Reviews of Modern Physics, Vol. 92, Issue 2 https://doi.org/10.1103/RevModPhys.92.025004	journal	June 2020
Naturalness in nuclear effective field theories van Kolck, U. The European Physical Journal A, Vol. 56, Issue 3 https://doi.org/10.1140/epja/s10050-020-00092-1	journal	March 2020

Similar Records

Renormalization of one-pion exchange in chiral effective field theory for antinucleon-nucleon scattering

Journal Article · Wed May 25 20:00:00 EDT 2022 · Physical Review. C · OSTI ID:1869832

Convergence of nuclear effective field theory with perturbative pions

Journal Article · Tue Sep 15 20:00:00 EDT 2020 · Physical Review C · OSTI ID:1799979

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Nucleon-nucleon scattering with perturbative pions: The uncoupled P-wave channels

Citation Formats

References (40)

Similar Records

Related Subjects