Resonance scattering phase shifts on a non-rest-frame lattice
Many low energy hadrons, such as the rho, can be observed as resonances in scattering experiments. A proposal by Lüscher enables one to determine infinite volume elastic scattering phases from the two-particle energy spectrum measured from finite periodic lattices. In this work, we generalize the fo...
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Published in | Nuclear physics. B Vol. 450; no. 1; pp. 397 - 436 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
11.09.1995
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Online Access | Get full text |
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Summary: | Many low energy hadrons, such as the rho, can be observed as resonances in scattering experiments. A proposal by Lüscher enables one to determine infinite volume elastic scattering phases from the two-particle energy spectrum measured from finite periodic lattices. In this work, we generalize the formalism to the case where the total momentum of the particles is non-zero; i.e. the lattice frame is not the center-of-mass frame of the scattering particles. There are several advantages to this procedure including making a wider variety of center of mass energies accessible with a fixed lattice volume, and making the avoided level crossing in a P-wave decay occur with a smaller volume.
The formalism is tested with a simple lattice model of two fields with different masses and a 3-point coupling in 3 + 1 dimensions. We find remarkable agreement between the rest-frame and non-rest-frame scattering. |
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ISSN: | 0550-3213 1873-1562 |
DOI: | 10.1016/0550-3213(95)00313-H |