Implications of a matter-radius measurement for the structure of Carbon-22

B. Acharya; C. Ji; D. R. Phillips

doi:10.1016/j.physletb.2013.04.055

Implications of a matter-radius measurement for the structure of Carbon-22

B. Acharya, C. Ji, D. R. Phillips

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61 Scopus citations

Abstract

We study Borromean 2n-halo nuclei using effective field theory. We compute the universal scaling function that relates the mean-square matter radius of the 2n halo to dimensionless ratios of two- and three-body energies. We use the experimental value of the rms matter radius of ²²C measured by Tanaka et al. (2010) [3] to put constraints on its 2n separation energy and the ²⁰C-n virtual energy. We also explore the consequences of these constraints for the existence of excited Efimov states in this nucleus. We find that, for ²²C to have an rms matter radius within 1-σ of the experimental value, the two-neutron separation energy of ²²C needs to be below 100 keV. Consequently, this three-body halo system can have an excited Efimov state only if the ²⁰C-n system has a resonance within 1 keV of the scattering threshold.

Original language	English
Pages (from-to)	196-200
Number of pages	5
Journal	Physics Letters B
Volume	723
Issue number	1-3
DOIs	https://doi.org/10.1016/j.physletb.2013.04.055
State	Published - Jun 10 2013
Externally published	Yes

Funding

This work was supported by the US Department of Energy under grant DE-FG02-93ER40756 and also in part by both the Natural Sciences and Engineering Research Council (NSERC) and the National Research Council of Canada . We thank Charlotte Elster and Hans-Werner Hammer for useful discussions. We are also grateful to Tobias Frederico, Hans-Werner Hammer, and Lucas Platter for useful comments on the manuscript.

Funders	Funder number
US Department of Energy	DE-FG02-93ER40756
National Research Council Canada
Science and Technology Facilities Council	ST/J002798/1
Luonnontieteiden ja Tekniikan Tutkimuksen Toimikunta

Keywords

Effective field theory
Efimov states
Few-body systems
Halo nuclei

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title = "Implications of a matter-radius measurement for the structure of Carbon-22",

abstract = "We study Borromean 2n-halo nuclei using effective field theory. We compute the universal scaling function that relates the mean-square matter radius of the 2n halo to dimensionless ratios of two- and three-body energies. We use the experimental value of the rms matter radius of 22C measured by Tanaka et al. (2010) [3] to put constraints on its 2n separation energy and the 20C-n virtual energy. We also explore the consequences of these constraints for the existence of excited Efimov states in this nucleus. We find that, for 22C to have an rms matter radius within 1-σ of the experimental value, the two-neutron separation energy of 22C needs to be below 100 keV. Consequently, this three-body halo system can have an excited Efimov state only if the 20C-n system has a resonance within 1 keV of the scattering threshold.",

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AU - Ji, C.

AU - Phillips, D. R.

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N2 - We study Borromean 2n-halo nuclei using effective field theory. We compute the universal scaling function that relates the mean-square matter radius of the 2n halo to dimensionless ratios of two- and three-body energies. We use the experimental value of the rms matter radius of 22C measured by Tanaka et al. (2010) [3] to put constraints on its 2n separation energy and the 20C-n virtual energy. We also explore the consequences of these constraints for the existence of excited Efimov states in this nucleus. We find that, for 22C to have an rms matter radius within 1-σ of the experimental value, the two-neutron separation energy of 22C needs to be below 100 keV. Consequently, this three-body halo system can have an excited Efimov state only if the 20C-n system has a resonance within 1 keV of the scattering threshold.

AB - We study Borromean 2n-halo nuclei using effective field theory. We compute the universal scaling function that relates the mean-square matter radius of the 2n halo to dimensionless ratios of two- and three-body energies. We use the experimental value of the rms matter radius of 22C measured by Tanaka et al. (2010) [3] to put constraints on its 2n separation energy and the 20C-n virtual energy. We also explore the consequences of these constraints for the existence of excited Efimov states in this nucleus. We find that, for 22C to have an rms matter radius within 1-σ of the experimental value, the two-neutron separation energy of 22C needs to be below 100 keV. Consequently, this three-body halo system can have an excited Efimov state only if the 20C-n system has a resonance within 1 keV of the scattering threshold.

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Implications of a matter-radius measurement for the structure of Carbon-22

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Keywords

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