ON THE ANALYSIS OF THE PION-NUCLEON SIGMA-TERM - THE SIZE OF THE REMAINDER AT THE CHENG-DASHEN POINT

Authors
BERNARD V KAISER N MEISSNER UG
Citation
V. Bernard et al., ON THE ANALYSIS OF THE PION-NUCLEON SIGMA-TERM - THE SIZE OF THE REMAINDER AT THE CHENG-DASHEN POINT, Physics letters. Section B, 389(1), 1996, pp. 144-148
Citations number
10
Categorie Soggetti
Physics
Journal title
Physics letters. Section B → ACNP
ISSN journal
03702693
Volume
389
Issue
1
Year of publication
1996
Pages
144 - 148
Database
ISI
SICI code
0370-2693(1996)389:1<144:OTAOTP>2.0.ZU;2-G
Abstract
We calculate the one-loop contributions of order M(pi)(4) to the diffe rence 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 th is order Delta(R) contains no chiral logarithms and therefore it vanis hes simply as M(pi)(4) in the chiral limit. Numerically, we find as an upper limit Delta(R) similar or equal to 2 MeV.