Reconciling threshold and subthreshold expansions for pion–nucleon scattering - INSPIRE

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Reconciling threshold and subthreshold expansions for pion–nucleon scattering

D. Siemens
(
- Ruhr U., Bochum
)
,
J. Ruiz de Elvira
(
- U. Bern, AEC and
- Bonn U. and
- Bonn U., HISKP
)
,
E. Epelbaum
(
- Santa Barbara, KITP and
- Ruhr U., Bochum
)
,
M. Hoferichter
(
- Washington U., Seattle and
- Santa Barbara, KITP
)
,
H. Krebs
(
- Santa Barbara, KITP and
- Ruhr U., Bochum
)

Oct 27, 2016

8 pages

Published in:

Phys.Lett.B 770 (2017) 27-34

Published: Jul 10, 2017

e-Print:

1610.08978 [nucl-th]

DOI:

10.1016/j.physletb.2017.04.039

Report number:

INT-PUB-16-035,
NSF-KITP-16-158

View in:

ADS Abstract Service

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Abstract: (Elsevier)

Heavy-baryon chiral perturbation theory (ChPT) at one loop fails in relating the pion–nucleon amplitude in the physical region and for subthreshold kinematics due to loop effects enhanced by large low-energy constants. Studying the chiral convergence of threshold and subthreshold parameters up to fourth order in the small-scale expansion, we address the question to what extent this tension can be mitigated by including the Δ(1232) as an explicit degree of freedom and/or using a covariant formulation of baryon ChPT. We find that the inclusion of the Δ indeed reduces the low-energy constants to more natural values and thereby improves consistency between threshold and subthreshold kinematics. In addition, even in the Δ-less theory the resummation of 1/mN corrections in the covariant scheme improves the results markedly over the heavy-baryon formulation, in line with previous observations in the single-baryon sector of ChPT that so far have evaded a profound theoretical explanation.

Note:

10 pages, 4 tables, Mathematica notebook with the analytic expressions for threshold and subthreshold parameters included as supplementary material; journal version

13.75.Gx
11.55.Fv
12.39.Fe
11.30.Rd
Pion–baryon interactions
Dispersion relations
Chiral Lagrangians
Chiral symmetries
perturbation theory: chiral
covariance

References(65)

Figures(0)

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