Article

One-loop analysis of nucleon-nucleon scattering in the chiral effective field theory

  • LI Fan ,
  • YANG Ji-Feng
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Received date: 2015-05-07

  Online published: 2016-09-22

Abstract

In this paper we will analyze the important one-loop pion-exchange diagrams for nucleon-nucleon (N-N) scattering in the relativistic framework of chiral effective theory, namely the triangle diagrams and the planar box diagram. On this basis, we wish to further explore the structures of the chiral effective theory in order to contribute to the establishment of a satisfactory effective field theory for nuclear forces

Cite this article

LI Fan , YANG Ji-Feng . One-loop analysis of nucleon-nucleon scattering in the chiral effective field theory[J]. Journal of East China Normal University(Natural Science), 2016 , 2016(3) : 67 -75 . DOI: 2016.03.008

References



[1]WEINBERG S. Nuclear forces from chiral Lagrangians [J]. Physics Letters B, 1990, 251(2): 288-292.
[2]ORDONEZ C, RAY L, VAN K U. Two-nucleon potential from chiral Lagrangians [J]. Physical Review C, 1996, 53(5): 2086.
[3]KAPLAN D B, SAVAGE M J, WISE M B. A New expansion for nucleon-nucleon interactions [J]. Physics Letters B, 1998, 424(3):390-396.
[4]COHEN T D, HANSEN J M. Testing low energy theorems in nucleon-nucleon scattering [J]. Physical Review C, 1999, 59(6):3047.
[5]LEPAGE P. How to renormalize the Schr"{o]dinger equation [R/OL].(1997-06-12)[2015-01-01]. linebreakhttp://arxiv.org/abs/nucl-th/9706029.
[6]EPELBAUM E, GLOECKLE W, MEISSNER U G. Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system [J]. Nuclear Physics A, 2000, 671(1): 295-331.
[7]YANG J F, HUANG J H. Renormalization of NN scattering: Contact potential [J]. Physical Review C, 2005, 71(3): 034001.
[8]YANG J F. A note on nonperturbative renormalization of effective field theory [J]. Journal of Physics A: Mathematical and Theoretical, 2009, 42(34): 345402.
[9]YANG J F. Effective range expansion in various scenarios of EFT(pi) [J]. EPL (Europhysics Letters), 2011, 94(4): 41002.
[10]YANG J F. Nonperturbative NN scattering in 3S1?3D1channels of EFT(pi) [J]. Annals Phys, 2013, 339: 160-180.
[11]BERNARD V. Chiral perturbation theory and baryon properties [J].Progress in Particle and Nuclear Physics, 2008, 60(1): 82-160.
[12]KAISER N, BROCKMANN R, WEISE W. Peripheral nucleon-nucleon phase shifts and chiral symmetry [J]. Nuclear Physics A, 1997, 625(4):758-788.
[13]KAPLAN D B, SAVAGE M J, Wise M B. Nucleon-nucleon scattering from effective field theory [J]. Nuclear Physics B, 1996, 478(3):629-659.
[14]WEINBERG S. Effective chiral Lagrangians for nucleon-pion interactions and nuclear forces [J]. Nuclear Physics B, 1991,363(1): 3-18.
[15]WEINBERG S. Nuclear forces from chiral Lagrangians [J]. Physics Letters B, 1990, 251(2): 288-292.
[16]KAPLAN D B, SAVAGE M J, WISE M B. Two-nucleon systems from effective field theory [J]. Nuclear Physics B, 1998, 534(1): 329-355.
[17]ELLIS P J, TANG H B. Pion-nucleon scattering in a new approach to chiral perturbation theory [J]. Physical Review C, 1998, 57(6):3356.
[18]BERNARD V, KAISER N, Meissner U G. Chiral dynamics in nucleons and nuclei [J]. International Journal of Modern Physics E, 1995, 4(2):193-344.
[19]NAGELS M M, RIJKEN T A, De Swart J J. Low-energy nucleon-nucleon potential from Regge-pole theory [J]. Physical Review D, 1978,17(3): 768.
[20]ENTEM D R, FERNacute{rm A]NDEZ F, VALCARCE A. Chiral quark model of the NN system within a Lippmann-Schwinger resonating group method[J]. Physical Review C, 2000, 62(3): 034002.
[21]HARVEY M. On the fractional-parentage expansions of color-singlet six-quark states in a cluster model [J]. Nuclear Physics A, 1981,352(3): 301-325.
[22]YANG J F. Anomalous ``mapping'' between pionfull and pionless EFT's[J]. Modern Physics Letters A, 2014, 29(9): 1-20.
[23]MACHLEIDT R, ENTEM D R. Chiral effective field theory and nuclearforces [J]. Physics Reports, 2011, 503(1): 1-75.
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