TY - JOUR

T1 - Finite-size effects in heavy halo nuclei from effective field theory

AU - Ryberg, E.

AU - Forssén, C.

AU - Phillips, D. R.

AU - van Kolck, U.

N1 - Funding Information:
Open access funding provided by Chalmers University of Technology. DRP and UvK acknowledge the hospitality of Chalmers University of Technology where this research was initiated. DRP thanks W. Elkamhawy for useful discussion. ER and CF were supported by the European Research Council under the European Community’s Seventh Framework Programme (FP7/2007–2013)/ERC grant agreement no. 240603, by the Swedish Foundation for International Cooperation in Research and Higher Education (STINT, IG2012-5158), and by the Swedish Research Council (dnr. 2010-4078). The work of DRP was supported by the US Department of Energy under contract DE-FG02-93ER-40756 and by the ExtreMe Matter Institute EMMI at the GSI Helmholtzzentrum für Schwerionenphysik, Darmstadt, Germany. UvK’s research was supported in part by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under Award Number DE-FG02-04ER41338, and by the European Union Research and Innovation program Horizon 2020 under grant agreement no. 654002.

PY - 2020/1/1

Y1 - 2020/1/1

N2 - 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 / Ac, where Ac 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 / Ac. 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.

AB - 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 / Ac, where Ac 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 / Ac. 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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U2 - 10.1140/epja/s10050-019-00001-1

DO - 10.1140/epja/s10050-019-00001-1

M3 - Article

AN - SCOPUS:85077902692

VL - 56

JO - European Physical Journal A

JF - European Physical Journal A

SN - 1434-6001

IS - 1

M1 - 7

ER -