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Scattering phaseshift formulas for mesons and baryons in elongated boxes
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Scattering phaseshift formulas for mesons and baryons in elongated boxes
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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. The results are applicable to a wide set of meson-meson and meson-baryon elastic scattering processes, with the two-particle system having equal or unequal masses.
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Cited by 1 Pith paper
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Higher order quantization conditions for two-body scattering with spin
Higher-order finite-volume quantization conditions for spin-1/2 + spin-0 scattering are derived to J=11/2 and numerically checked to agree with independent box spectra to six significant figures.
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