2003Unpublished venueOpen access

MASS SHIFTS THROUGH RE - SCATTERING.

Brookhaven National Lab., Upton, NY (USA), R LONGACRE, DOE/SC (US)

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Abstract

In this note we present a model that can produce a mass shift in a resonance due to interference between a scattering amplitude and that amplitude having rescattering through the resonance. 1 Starting point For the first part of this story we will define what a scattering cross section is. We will only consider in this work elastic scattering of pions. Two pions can scatter at a certain energy which we will call Mππ. The differential cross section σ at a given Mππ is dσ dφdθ 1

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In this note we present a model that can produce a mass shift in a resonance due to interference between a scattering amplitude and that amplitude having rescattering through the resonance. 1 Starting point For the first part of this story we will define what a scattering cross section is. We will only consider in this work elastic scattering of pions. Two pions can scatter at a certain energy which we will call Mππ. The differential cross section σ at a given Mππ is dσ dφdθ 1

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Available abstract

In this note we present a model that can produce a mass shift in a resonance due to interference between a scattering amplitude and that amplitude having rescattering through the resonance. 1 Starting point For the first part of this story we will define what a scattering cross section is. We will only consider in this work elastic scattering of pions. Two pions can scatter at a certain energy which we will call Mππ. The differential cross section σ at a given Mππ is dσ dφdθ 1

Key concepts: Pion, Physics, Scattering, Nuclear physics, Compton scattering, Resonance (particle physics), Quantum electrodynamics, Particle physics

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