The 12th International Workshop on the Physics of Excited Nucleons

Covariant nucleon-nucleon contact Lagrangian up to order O(q⁴)

11 Jun 2019, 16:30

30m

HS 6

Advances in the modeling of baryon spectrum and structure Parallel Session C

Speaker

Yang Xiao (Beihang University)

Description

We adopt a covariant version of the naive dimensional analysis and construct the two-nucleon contact Lagrangian constrained by Lorentz, parity, charge conjugation, and Hermitian conjugation symmetries.We show that at O(q^0), O(q^2), and O(q^4), where q denotes a generic small momentum, there are 4, 13, and 23 terms, respectively.We find that by performing 1/mN expansions, the covariant Lagrangian reduces to the conventional nonrelativistic one, which includes 2, 7, and 15 terms at each corresponding order. We also do some preliminary studies on nucleon-nucleon contact potentials.