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Scattering phaseshift formulas for mesons and baryons in elongated boxes · Around

2017

Scattering phaseshift formulas for mesons and baryons in elongated boxes

Lee, Frank X., Alexandru, Andrei

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We derive L\"{u}scher phaseshift formulas for two-particle states in boxes elongated in one of the dimensions.

Such boxes offer a cost-effective way of varying the relative momentum of the particles.
Boosted states in the elongated direction, which allow wider access to energies, are also considered.
The formulas for the various scenarios (moving and zero-momentum states in cubic and elongated boxes) are compared and relations between them are clarified.

Built on

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K. Rummukainen and Steven A. Gottlieb, “Resonance scattering phase shifts on a nonrest frame lattice,” Nucl. Phys. B450
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