Scales of critically stable few- Scales of critically stable few- body halo system body halo system Tobias Frederico Instituto Tecnológico de Aeronáutica São José dos Campos - Brazil rcelo T. Yamashita – Itapeva /Unesp uro Tomio – IFT/Unesp/São Paulo tonio Delfino – UFF/Niterói adhan K. Adhikari - IFT/Unesp/São Paulo Collaborators FB18, Santos, Aug.21-26, 200
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Scales of critically stable few-body halo system Tobias Frederico Instituto Tecnológico de Aeronáutica São José dos Campos - Brazil Marcelo T. Yamashita.
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Scales of critically stable few-body halo systemScales of critically stable few-body halo system
Tobias Frederico
Instituto Tecnológico de AeronáuticaSão José dos Campos - Brazil
Marcelo T. Yamashita – Itapeva /UnespLauro Tomio – IFT/Unesp/São PauloAntonio Delfino – UFF/Niterói Sadhan K. Adhikari - IFT/Unesp/São Paulo
Collaborators
FB18, Santos, Aug.21-26, 2006
FB18, Aug. 2006
Nuclear and Atomic weakly bound three-body halo systemsHow to study weakly bound three-body systems?Thomas-Efimov effectThomas-Efimov effect Scaling limit & limit cycle, scaling functions and correlations between observablesScaling limit & limit cycle, scaling functions and correlations between observablesGeneral classification scheme: n-n-c or A-A-BGeneral classification scheme: n-n-c or A-A-B Threshold conditions for an excited N+1Threshold conditions for an excited N+1 Efimov stateEfimov state Three-bosons: analytic structure & Efimov state trajectoryThree-bosons: analytic structure & Efimov state trajectory Root mean square radiiFour boson systems: new scale?Summary and perspectives
OUTLINEOUTLINE
FB18, Aug. 2006Two-neutron halo nucleus
First observation
6He T. Bjerge, Nature 138, 400 (1936)
11Li colliding with some targets growth of the cross section
Tanihata et al., Phys. Rev. Lett. 55, 2676 (1985)
T. Kobayashi et al. Phys. Lett. B 232, 51 (1989)Li-9
neutrons
FB18, Aug. 2006 Nuclear weakly bound three-body halo systems
core
n n
core-neutron-neutron halo nuclei
11Li 14Be 20C
Binding energy ~ MeV or < MeV
Rnn(Exp) ~ 6 - 8 fm (11Li)
F. M. Marqués et al. Phys. Rev. C 64, 061301 (2001)
M. Petrascu et al. Nucl. Phys. A 738, 503 (2004)
FB18, Aug. 2006Atomic weakly bound three-body systems
Results for different radii of the molecular system ABB
Radii for weakly bound moleculesRadii for weakly bound molecules
Yamashita, Marques de Carvalho, Tomio , T. F., Phys. Rev. A 68, 012506 (2003)
FB18, Aug. 2006
0.0 0.2 0.4 0.6 0.8 1.0
0.4
0.6
0.8
1.0
1.2
(E2/E
3)1/2
(<r H
e
2 >S3)1/
2(<
r He-
He
2 >S3)1/
2
GroundFirst excited
Symbols fromP. Barletta and A. KievskyPhys. Rev. A 64, 042514 (2001)
squares - Ground statecircles - First excited state
Weakly bound molecules
FB18, Aug. 2006Four-boson system: new scale?Four-boson system: new scale?
no new scale
new scale
FB18, Aug. 2006Four-boson system: a new scale?
FB18, Aug. 2006Four-boson system: a new scale?
Tjon line: MeV
FB18, Aug. 2006Summary and perspectives
Zero-range model: classification of weakly-bound systems threshold conditions for excited states and resonances ( evidence of the trajectory of resonance in ultra-cold atoms)
6He, 11Li, 14Be, 20C
4He-4He-(4He, 6Li, 7Li, 23Na)
Neutron-neutron correlation function
Scattering, breakup of halo nuclei and weakly bound molecules: universal properties
Weakly bound & large systems: few scales regime
Exploration of the different possibilities of threshold conditions for resonances