αα scattering in halo effective field theory

R. Higa; H. W. Hammer; U. van Kolck

doi:10.1016/j.nuclphysa.2008.06.003

αα scattering in halo effective field theory

R. Higa, H. W. Hammer, U. van Kolck

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104 Scopus citations

Abstract

We study the two-alpha-particle (αα) system in an Effective Field Theory (EFT) for halo-like systems. We propose a power counting that incorporates the subtle interplay of strong and electromagnetic forces leading to a narrow resonance at an energy of about 0.1 MeV. We investigate the EFT expansion in detail, and compare its results with existing low-energy αα phase shifts and previously determined effective-range parameters. Good description of the data is obtained with a surprising amount of fine-tuning. This scenario can be viewed as an expansion around the limit where, when electromagnetic interactions are turned off, the ⁸Be ground state is at threshold and exhibits conformal invariance. We also discuss possible extensions to systems with more than two alpha particles.

Original language	English (US)
Pages (from-to)	171-188
Number of pages	18
Journal	Nuclear Physics A
Volume	809
Issue number	3-4
DOIs	https://doi.org/10.1016/j.nuclphysa.2008.06.003
State	Published - Sep 1 2008
Externally published	Yes

Keywords

Effective field theory
Nuclear clusters

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.nuclphysa.2008.06.003

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title = "αα scattering in halo effective field theory",

abstract = "We study the two-alpha-particle (αα) system in an Effective Field Theory (EFT) for halo-like systems. We propose a power counting that incorporates the subtle interplay of strong and electromagnetic forces leading to a narrow resonance at an energy of about 0.1 MeV. We investigate the EFT expansion in detail, and compare its results with existing low-energy αα phase shifts and previously determined effective-range parameters. Good description of the data is obtained with a surprising amount of fine-tuning. This scenario can be viewed as an expansion around the limit where, when electromagnetic interactions are turned off, the 8Be ground state is at threshold and exhibits conformal invariance. We also discuss possible extensions to systems with more than two alpha particles.",

keywords = "Effective field theory, Nuclear clusters",

author = "R. Higa and Hammer, {H. W.} and {van Kolck}, U.",

note = "Funding Information: We would like to thank Carlos Bertulani for useful discussions and encouragement. R.H. has also benefited from discussions with Andreas Nogga, and U.v.K. with Brett Carlson, Tobias Frederico, Boris Gelman, and Manuel Malheiro. This research was supported in part by the Bun-desministerium f{\"u}r Bildung und Forschung under contract number 06BN411 (R.H., H.W.H.), by the US Department of Energy (U.v.K.), by the Nederlandse Organisatie voor Wetenschap-pelijk Onderzoek (U.v.K.), and by Brazil{\textquoteright}s FAPESP under a Visiting Professor grant (U.v.K.). U.v.K. would like to thank the hospitality of the Kernfysisch Versneller Instituut at Rijksuniver-siteit Groningen, the Instituto de F{\'i}sica Te{\'o}rica of the Universidade Estadual Paulista, and the Instituto de F{\'i}sica of the Universidade de S{\~a}o Paulo, where part of this work was carried out.",

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doi = "10.1016/j.nuclphysa.2008.06.003",

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AU - Higa, R.

AU - Hammer, H. W.

AU - van Kolck, U.

N1 - Funding Information: We would like to thank Carlos Bertulani for useful discussions and encouragement. R.H. has also benefited from discussions with Andreas Nogga, and U.v.K. with Brett Carlson, Tobias Frederico, Boris Gelman, and Manuel Malheiro. This research was supported in part by the Bun-desministerium für Bildung und Forschung under contract number 06BN411 (R.H., H.W.H.), by the US Department of Energy (U.v.K.), by the Nederlandse Organisatie voor Wetenschap-pelijk Onderzoek (U.v.K.), and by Brazil’s FAPESP under a Visiting Professor grant (U.v.K.). U.v.K. would like to thank the hospitality of the Kernfysisch Versneller Instituut at Rijksuniver-siteit Groningen, the Instituto de Física Teórica of the Universidade Estadual Paulista, and the Instituto de Física of the Universidade de São Paulo, where part of this work was carried out.

PY - 2008/9/1

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N2 - We study the two-alpha-particle (αα) system in an Effective Field Theory (EFT) for halo-like systems. We propose a power counting that incorporates the subtle interplay of strong and electromagnetic forces leading to a narrow resonance at an energy of about 0.1 MeV. We investigate the EFT expansion in detail, and compare its results with existing low-energy αα phase shifts and previously determined effective-range parameters. Good description of the data is obtained with a surprising amount of fine-tuning. This scenario can be viewed as an expansion around the limit where, when electromagnetic interactions are turned off, the 8Be ground state is at threshold and exhibits conformal invariance. We also discuss possible extensions to systems with more than two alpha particles.

AB - We study the two-alpha-particle (αα) system in an Effective Field Theory (EFT) for halo-like systems. We propose a power counting that incorporates the subtle interplay of strong and electromagnetic forces leading to a narrow resonance at an energy of about 0.1 MeV. We investigate the EFT expansion in detail, and compare its results with existing low-energy αα phase shifts and previously determined effective-range parameters. Good description of the data is obtained with a surprising amount of fine-tuning. This scenario can be viewed as an expansion around the limit where, when electromagnetic interactions are turned off, the 8Be ground state is at threshold and exhibits conformal invariance. We also discuss possible extensions to systems with more than two alpha particles.

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KW - Nuclear clusters

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αα scattering in halo effective field theory

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