On the analysis of the pion-nucleon sigma-term: The size of the remainder at the Cheng-Dashen point

被引:42
作者
Bernard, V
Kaiser, N
Meissner, UG
机构
[1] TECH UNIV MUNICH,PHYS DEPT T39,D-85747 GARCHING,GERMANY
[2] UNIV BONN,INST THEORET KERNPHYS,D-53115 BONN,GERMANY
关键词
D O I
10.1016/S0370-2693(96)01243-9
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We calculate the one-loop contributions of order M(pi)(4) to the difference Delta(R) between the on-shell pion-nucleon scattering amplitude <(D)over bar (+)> (0, 2M(pi)(2)) at the Cheng-Dashen point nu=0, t=2M(pi)(2) of heavy baryon chiral perturbation theory. We proof that to this order Delta(R) contains no chiral logarithms and therefore it vanishes simply as M(pi)(4) in the chiral limit. Numerically, we find as an upper limit Delta(R) similar or equal to 2 MeV.
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页码:144 / 148
页数:5
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