supported by

Collaborative Research Centre 16

Subnuclear Structure of Matter

C.9 Chiral dynamics of/with instable particles

E. Epelbaum, H. Krebs, U.-G.Meißner

The main goal of this project is to carry out a detailed investigation of the nucleon structure employing a novel, Lorentz-invariant formulations of chiral perturbation theory. Given that the Δ(1232) isobar is known to play an important role in pion-nucleon dynamics, we intend to include the Δ as an explicit degree of freedom within a manifestly covariant framework. The second part of the project is more ambitious, as we try to set up a consistent chiral effective field theory framework for the next nucleon resonance, the Roper N*(1440).

Publications

Published and accepted papers
D. Siemens, V. Bernard, E. Epelbaum, A. Gasparyan, H. Krebs and U. G. Meißner
„Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look″,
[arXiv:1602.02640 [nucl-th]].
D. L. Yao, D. Siemens, V. Bernard, E. Epelbaum, A. M. Gasparyan, J. Gegelia, H. Krebs and U. G. Meißner
„Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances″,
JHEP 1605 (2016) 038, [arXiv:1603.03638 [hep-ph]].
D. Djukanovic, E. Epelbaum, J. Gegelia, H. Krebs and U.-G. Meißner,
„Complex-mass renormalization in hadronic EFT: applicability at two-loop order″,
Eur. Phys. J. A 51 (2015) 101, [arXiv:1507.06771 [hep-ph]].
E. Epelbaum, J. Gegelia, U.-G. Meißner and D. L. Yao,
„Baryon chiral perturbation theory extended beyond the low-energy region″,
Eur. Phys. J. C 75 (2015) no.10, 499, [arXiv:1510.02388 [hep-ph]].
D. Siemens, V. Bernard, E. Epelbaum, H. Krebs and U.-G. Meißner
„The reaction πN → ππN in chiral effective field theory with explicit Δ(1232) degrees of freedom″,
Phys. Rev. C 89 (2014) no.6, 065211, [arXiv:1403.2510 [nucl-th]].
D. Djukanovic, E. Epelbaum, J. Gegelia and U.-G. Meißner
„The magnetic moment of the ρ-meson″,
Phys. Lett. B 730 (2014) 115, [arXiv:1309.3991 [hep-ph]].
V. Bernard, E. Epelbaum, H. Krebs and U.-G. Meißner
„New insights into the spin structure of the nucleon″,
Phys. Rev. D 87 (2013) no.5, 054032, [arXiv:1209.2523 [hep-ph]].
H. Krebs, E. Epelbaum and U.-G. Meißner
„Redundancy of the off-shell parameters in chiral effective field theory with explicit spin-3/2 degrees of freedom″,
Phys. Lett. B 683 (2010) 222, [arXiv:0905.2744 [hep-th]].
H. Krebs, E. Epelbaum and U.-G. Meißner
„On-shell consistency of the Rarita-Schwinger field formulation″,
Phys. Rev. C 80 (2009) 028201, [arXiv:0812.0132 [hep-th]].
E. Epelbaum, H. Krebs and U.-G. Meißner
„Isospin-breaking two-nucleon force with explicit Delta-excitations″,
Phys. Rev. C 77 (2008) 034006, [arXiv:0801.1299 [nucl-th]].
E. Epelbaum, H. Krebs and U.-G. Meißner
„Delta-excitations and the three-nucleon force″,
Nucl. Phys. A 806 (2008) 65, [arXiv:0712.1969 [nucl-th]].
H. Krebs, E. Epelbaum and U.-G. Meißner
„Nuclear forces with Delta-excitations up to next-to-next-to-leading order. I. Peripheral nucleon-nucleon waves″,
Eur. Phys. J. A 32 (2007) 127, [nucl-th/0703087].
B. Borasoy, P. C. Bruns, U.-G. Meißner and R. Lewis
„Chiral corrections to the Roper mass″,
Phys. Lett. B 641 (2006) 294, [hep-lat/0608001].
V. Bernard, T. R. Hemmert and U.-G. Meißner
„Spin structure of the nucleon at low-energies″,
Phys. Rev. D 67 (2003) 076008, [hep-ph/0212033].
V. Bernard, L. Elouadrhiri and U.-G. Meißner
„Axial structure of the nucleon: Topical Review″,
J. Phys. G 28 (2002) R1, [hep-ph/0107088].
N. Fettes, V. Bernard and U.-G. Meißner
„One loop analysis of the reaction πN → ππN″,
Nucl. Phys. A 669 (2000) 269, [hep-ph/9907276].