4.5 Article

Narrow resonances and short-range interactions

Journal

PHYSICAL REVIEW C
Volume 80, Issue 3, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevC.80.034005

Keywords

-

Funding

  1. Professional Staff Congress-City University of New York research grant program [PSCREG-40-562]

Ask authors/readers for more resources

Narrow resonances in systems with short-range interactions are discussed in an effective field theory (EFT) framework. An effective Lagrangian is formulated in the form of a combined expansion in powers of a momentum Q << Lambda-a short-distance scale-and an energy difference delta epsilon = vertical bar E - epsilon(0)| << epsilon(0)-a resonance peak energy. At leading order in the combined expansion, a two-body scattering amplitude is the sum of a smooth background term of order Q(0) and a Breit-Wigner term of order Q(2)(delta epsilon)(-1) which becomes dominant for delta epsilon less than or similar to Q(3). Such an EFT is applicable to systems in which short-distance dynamics generates a low-lying quasistationary state. The EFT is generalized to describe a narrow low-lying resonance in a system of charged particles. It is shown that in the case of Coulomb repulsion, a two-body scattering amplitude at leading order in a combined expansion is the sum of a Coulomb-modified background term and a Breit-Wigner amplitude with parameters renormalized by Coulomb interactions.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.5
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available