Geometry of Borromean halo nuclei

Journal Article · Thu Nov 15 04:00:00 EST 2007 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.76.051602· OSTI ID:21067869

Bertulani, C A ^[1]; Hussein, M S ^[2]

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1. Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996 (United States)
2. Instituto de Fisica, Universidade de Sao Paulo, C. P. 66318, 05389-970 Sao Paulo (Brazil)

We discuss the geometry of the highly quantal nuclear three-body systems composed of a core plus two loosely bound particles. These Borromean nuclei have no single bound two-body subsystem. Correlation plays a prominent role. From consideration of the B(E1) value extracted from electromagnetic dissociation, in conjunction with HBT-type analysis of the two valence-halo particles correlation, we show that an estimate of the over-all geometry can be deduced. In particular we find that the opening angle between the two neutrons in {sup 6}He and {sup 11}Li are, respectively, {theta}{sub nn}=83{sup 0} {sub -10}{sup +20} and 66{sup 0}{sub -18}{sup +22}. These angles are reduced by about 12% to {theta}{sub nn}=78{sup 0}{sub -18}{sup +13} and 58{sup 0}{sub -14}{sup +10} if the laser spectroscopy values of the rms charge radii are used to obtain the rms distance between the cores and the center of mass of the two neutrons. The opening angle in the case of {sup 11}Li is more than 20% larger than recently reported by Nakamura et al. [Phys. Rev. Lett. 96, 252502 (2006)]. The analysis is extended to {sup 14}Be and the two-proton Borromean nucleus {sup 17}Ne where complete data are still not available. Using available experimental data and recent theoretical calculations we find {theta}{sub nn}=64{sup 0}{sub -10}{sup +9} and {theta}{sub pp}=110{sup 0}, respectively.

• OSTI ID: 21067869
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 5 Vol. 76; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BERYLLIUM 14
CORRELATIONS
E1-TRANSITIONS
HELIUM 6
LASER SPECTROSCOPY
LITHIUM 11
NEON 17
NEUTRONS
NUCLEAR HALOS
NUCLEAR STRUCTURE
PROTONS
THREE-BODY PROBLEM
TWO-BODY PROBLEM
VALENCE