New analysis method of the halo phenomenon in finite many-fermion systems: First applications to medium-mass atomic nuclei

Journal Article · Fri May 15 00:00:00 EDT 2009 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.79.054308· OSTI ID:21289890

Rotival, V ^[1]; Duguet, T ^[2]

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1. DPTA/Service de Physique Nucleaire, CEA/DAM Ile-de-France, BP12-91680 Bruyeres-le-Chatel (France)
2. National Superconducting Cyclotron Laboratory, 1 Cyclotron Laboratory, East Lansing, Michigan 48824 (United States)

A new analysis method to investigate halos in finite many-fermion systems is designed, as existing characterization methods are proven to be incomplete/inaccurate. A decomposition of the internal wave-function of the N-body system in terms of overlap functions allows a model-independent analysis of medium-range and asymptotic properties of the internal one-body density. The existence of a spatially decorrelated region in the density profile is related to the existence of three typical energy scales in the excitation spectrum of the (N-1)-body system. A series of model-independent measures, taking the internal density as the only input, are introduced. The new measures allow a quantification of the potential halo in terms of the average number of fermions participating to it and of its impact on the system extension. Those new ''halo factors'' are validated through simulations and applied to results obtained through energy density functional calculations of medium-mass nuclei. Performing spherical Hartree-Fock-Bogoliubov calculations with state-of-the-art Skyrme plus pairing functionals, a collective halo is predicted in drip-line Cr isotopes, whereas no such effect is seen in Sn isotopes.

• OSTI ID: 21289890
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 79, Issue 5; Other Information: DOI: 10.1103/PhysRevC.79.054308; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ASYMPTOTIC SOLUTIONS
CHROMIUM ISOTOPES
DECOMPOSITION
DENSITY
ENERGY DENSITY
EXCITATION
FERMIONS
FUNCTIONALS
HARTREE-FOCK-BOGOLYUBOV THEORY
INTERMEDIATE MASS NUCLEI
INTERNAL WAVES
MASS
SIMULATION
SKYRME POTENTIAL
SPECTRA
SPHERICAL CONFIGURATION
TIN ISOTOPES