Quantum scattering of BPS monopoles at low energy

Bernd Johannes Schroers

doi:10.1016/0550-3213(91)90047-2

Quantum scattering of BPS monopoles at low energy

Bernd Johannes Schroers

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Abstract

The quantum scattering of non-relativistic BPS monopoles is investigated by supposing that the hamiltonian is proportional to the covariant laplacian on the space of collective coordinates of the monopoles equipped with the Atiyah-Hitchin metric. Using a partial-wave analysis and numerical methods we find a rich quantum mechanical structure, including inelastic and resonance scattering. Quantitative estimates of certain cross sections are given. It is pointed out that a similar method could be used to discuss nucleon-nucleon scattering in the Skyrme model.

Original language	English
Pages (from-to)	177-214
Number of pages	38
Journal	Nuclear Physics B
Volume	367
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(91)90047-2
Publication status	Published - 16 Dec 1991

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DYNAMICS

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10.1016/0550-3213(91)90047-2

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abstract = "The quantum scattering of non-relativistic BPS monopoles is investigated by supposing that the hamiltonian is proportional to the covariant laplacian on the space of collective coordinates of the monopoles equipped with the Atiyah-Hitchin metric. Using a partial-wave analysis and numerical methods we find a rich quantum mechanical structure, including inelastic and resonance scattering. Quantitative estimates of certain cross sections are given. It is pointed out that a similar method could be used to discuss nucleon-nucleon scattering in the Skyrme model.",

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N2 - The quantum scattering of non-relativistic BPS monopoles is investigated by supposing that the hamiltonian is proportional to the covariant laplacian on the space of collective coordinates of the monopoles equipped with the Atiyah-Hitchin metric. Using a partial-wave analysis and numerical methods we find a rich quantum mechanical structure, including inelastic and resonance scattering. Quantitative estimates of certain cross sections are given. It is pointed out that a similar method could be used to discuss nucleon-nucleon scattering in the Skyrme model.

AB - The quantum scattering of non-relativistic BPS monopoles is investigated by supposing that the hamiltonian is proportional to the covariant laplacian on the space of collective coordinates of the monopoles equipped with the Atiyah-Hitchin metric. Using a partial-wave analysis and numerical methods we find a rich quantum mechanical structure, including inelastic and resonance scattering. Quantitative estimates of certain cross sections are given. It is pointed out that a similar method could be used to discuss nucleon-nucleon scattering in the Skyrme model.

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DO - 10.1016/0550-3213(91)90047-2

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EP - 214

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1

ER -

Quantum scattering of BPS monopoles at low energy

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