10 papers
An Effective Field Theory for the Three-Body System
T. Barford, M. C. Birse
We study the scattering of a particle from a bound pair in an effective field theory using a distorted-wave renormalisation group method to find the power-counting for the three-bo…
Spin polarisability of the nucleon at NLO in the chiral expansion
K. B. Vijaya Kumar, Judith A. McGovern, Michael C. Birse
We present a calculation of the fourth-order (NLO) contribution to spin-dependent forward Compton scattering in heavy-baryon chiral perturbation theory. No low-energy constants, ex…
Relativistic Faddeev approach to the NJL model at finite density
M. C. Birse, J. A. McGovern, S. Pepin +1
We study the nucleon solution of the relativistic Faddeev equation as a function of density in the framework of a generalized Nambu-Jona-Lasinio model. We truncate the interacting…
The Wilson Renormalisation Group Applied to the Potential in NN Scattering
Michael C. Birse, Judith A. McGovern, Keith G. Richardson
Nonrelativistic two-body scattering by a short-ranged potential is studied using the renormalisation group. Two fixed points are identified: a trivial one and one describing system…
Chiral symmetry in matter
Michael C. Birse
Soft-pion theorems are used to show how chiral symmetry constrains the contributions of low-momentum pions to the quark condensate, the pion decay constant and hadron masses, all o…
Renormalising NN scattering: is power counting powerless?
Michael C. Birse
The renormalisation of NN scattering in theories with zero-range interactions is examined using a cut-off regularisation where the cut-off is taken to infinity, dimensional regular…