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2009

Narrow resonances and short-range interactions

Gelman, Boris A.

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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 = |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 <~ Q^3.
Such an EFT is applicable to systems in which short-distance dynamics generates a low-lying quasistationary state.

Narrow resonances and short-range interactions · Around

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