THE BOUNDARY CONDITION MODEL APPROACH TO BORROMEAN NUCLEI

2007 ◽  
Vol 22 (20) ◽  
pp. 1469-1479
Author(s):  
CORNEL HATEGAN ◽  
REMUS AMILCAR IONESCU ◽  
HERMANN H. WOLTER
Keyword(s):  
Boundary Condition ◽  
Bound State ◽  
Weakly Bound ◽  
Condition Model ◽  
Boundary Condition Model ◽  
Resonant States ◽  
Scattering Lengths ◽  
Three Body ◽  
Model Approach

Three-body systems are studied in the framework of the Boundary Condition Model, in which the relevant interactions are expressed in terms of the scattering lengths of the two-body subsystems. We demonstrate explicitly the role of resonant states in the two-body subsystems and of multiple scattering between the constituents in producing a weakly bound three-body system, i.e. a Borromean nucleus. We obtain qualitative relations between the spatial extension of the three-body bound state, its energy, and the scattering lengths in the subsystems. The results are compared with experimental data for the Borromean nucleus 11 Li and 14 Be .

Three-alpha resonant state and its contribution in continuum spectrum

2006 ◽  
Vol 21 (31n33) ◽  
pp. 2351-2358
Author(s):  
C. Kurokawa ◽  
K. Katō
Keyword(s):  
Boundary Condition ◽  
Resonant State ◽  
Level Density ◽  
Complex Scaling ◽  
Scaling Method ◽  
Complex Scaling Method ◽  
Resonant States ◽  
Complex Eigenvalues ◽  
Three Body ◽  
The Continuum

The 3α resonant states of 12 C are investigated by taking into account the correct boundary condition for three-body resonant states. In order to show how the 3α resonant states having complex eigenvalues contribute to the real energy, we calculated the Continuum Level Density in the Complex Scaling Method.

DINEUTRON CORRELATION IN THE GROUND STATE AND E1 EXCITATIONS OF BORROMEAN NUCLEI

2010 ◽  
Vol 25 (21n23) ◽  
pp. 1842-1845
Author(s):  
K. HAGINO ◽  
H. SAGAWA ◽  
T. OISHI
Keyword(s):  
Contact Interaction ◽  
Ground State ◽  
Energy Distributions ◽  
Weakly Bound ◽  
Density Dependent ◽  
Body Model ◽  
Dipole Excitation ◽  
Ground State Properties ◽  
Three Body

Using a three-body model with density-dependent contact interaction, we discuss the role of dineutron correlation in the ground state properties as well as in the dipole excitation of typical weakly-bound Borromean nuclei, 11 Li and 6 He . We show that, while both the nuclei manifest themselves similar strong dineutron correlations to each other in the ground state, the energy distributions for the two emitted neutrons from the dipole excitation are considerably different. We also discuss briefly the diproton correlation in a proton-rich Borromean nucleus, 17 Ne .

Boundary Condition Model for Proton-Proton Scattering

1960 ◽  
Vol 5 (6) ◽  
pp. 266-268 ◽  
Author(s):  
D. P. Saylor ◽  
R. A. Bryan ◽  
R. E. Marshak
Keyword(s):  
Boundary Condition ◽  
Proton Scattering ◽  
Proton Proton ◽  
Condition Model ◽  
Boundary Condition Model

π-π Scattering in the boundary-condition model

1964 ◽  
Vol 31 (1) ◽  
pp. 113-131 ◽  
Author(s):  
W. W. S. Au ◽  
E. L. Lomon
Keyword(s):  
Boundary Condition ◽  
Condition Model ◽  
Boundary Condition Model
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