Finite-size effects in heavy halo nuclei from effective field theory
Halo/Cluster Effective Field Theory describes halo/cluster nuclei in an expansion in the small ratio of the size of the core(s) to the size of the system. Even in the point-particle limit, neutron-halo nuclei have a finite charge radius, because their center of mass does not coincide with their cent...
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Published in | The European physical journal. A, Hadrons and nuclei Vol. 56; no. 1 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
2020
Springer Nature B.V Springer |
Subjects | |
Online Access | Get full text |
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Summary: | Halo/Cluster Effective Field Theory describes halo/cluster nuclei in an expansion in the small ratio of the size of the core(s) to the size of the system. Even in the point-particle limit, neutron-halo nuclei have a finite charge radius, because their center of mass does not coincide with their center of charge. This point-particle contribution decreases as
1
/
A
c
, where
A
c
is the mass number of the core, and diminishes in importance compared to other effects, e.g., the size of the core to which the neutrons are bound. Here we propose that for heavy cores the EFT expansion should account for the small factors of
1
/
A
c
. As a specific example, we discuss the implications of this organizational scheme for the inclusion of finite-size effects in expressions for the charge radii of halo nuclei. We show in particular that a short-range operator could be the dominant effect in the charge radius of one-neutron halos bound by a P-wave interaction. The point-particle contribution remains the leading piece of the charge radius for one-proton halos, and so Halo EFT has more predictive power in that case. |
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Bibliography: | FG02-04ER41338; FG02-93ER40756 USDOE Office of Science (SC) |
ISSN: | 1434-6001 1434-601X 1434-601X |
DOI: | 10.1140/epja/s10050-019-00001-1 |