TY - JOUR
T1 - Features of pion-nucleon scattering with nucleons as chiral solitons
AU - Kaiser, N.
AU - Vogl, U.
AU - Weise, W.
N1 - Funding Information:
in part by BMFT grant MEP 0234 REA and by Deutsche
PY - 1988/12/26
Y1 - 1988/12/26
N2 - We show that after simultaneous quantization of the rotational and translational collective degrees of freedom of chiral solitons, the p-wave pion-nucleon scattering amplitude can be generated in close analogy with the phenomenologically successful Δ-isobar model. In particular, the Δ-decay width arises naturally. We also comment on the usual background scattering method and find that the absence of the Δ resonance in this approach is closely related to the fact that the value of the axial vector coupling constant gA comes out too small. We discuss this in the context of the Adler-Weisberger sum rule. We also comment on some problems in s-wave πN scattering.
AB - We show that after simultaneous quantization of the rotational and translational collective degrees of freedom of chiral solitons, the p-wave pion-nucleon scattering amplitude can be generated in close analogy with the phenomenologically successful Δ-isobar model. In particular, the Δ-decay width arises naturally. We also comment on the usual background scattering method and find that the absence of the Δ resonance in this approach is closely related to the fact that the value of the axial vector coupling constant gA comes out too small. We discuss this in the context of the Adler-Weisberger sum rule. We also comment on some problems in s-wave πN scattering.
UR - http://www.scopus.com/inward/record.url?scp=0010787463&partnerID=8YFLogxK
U2 - 10.1016/0375-9474(88)90016-4
DO - 10.1016/0375-9474(88)90016-4
M3 - Article
AN - SCOPUS:0010787463
SN - 0375-9474
VL - 490
SP - 602
EP - 618
JO - Nuclear Physics, Section A
JF - Nuclear Physics, Section A
IS - 3
ER -