Eigenvalues of the Yakubovskii equation kernel for a four-nucleon system
Low-lying states of /sup 4/He have been studied by calculating the trajectories of the first two eigenvalues of the kernels of the Yakubovskii four-body equation as the total energy E increases from -infinity to infinity+iepsilon. The two-particle interactions used are of the separable Yamaguchi type and include spin-dependent forces. The integral equations are derived for each state with values of spin S, isospin T, and total angular momentum L. To obtain a set of single variable integral equations, the Schmidt expansion is applied. The deformation of the integration contour is performed for the complex eigenvalues, and the eigenvalue problems for these equations are solved to determine the binding energy or the resonance energy including l = 1 subamplitudes for 3+1 subsystems. The binding energies for the ground and the first excited state are -45.009 MeV and -11.529 MeV, respectively. A resonance state is found to be about -4.889 MeV in the state with ST = 10, L = 1 corresponding to the degenerate state of the second, third, and ninth excited states of the /sup 4/He nucleus.
- Research Organization:
- Department of Applied Physics, Tokyo University of Agriculture and Technology, Naka-machi, Koganei-shi, Tokyo, Japan
- OSTI ID:
- 5169982
- Journal Information:
- Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 29:1; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
A=1-5
Theoretical-- Energy Levels & Transitions-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
BINDING ENERGY
EIGENVALUES
ENERGY
ENERGY LEVELS
EQUATIONS
EVEN-EVEN NUCLEI
FOUR-BODY PROBLEM
HELIUM 4
HELIUM ISOTOPES
INTEGRAL EQUATIONS
ISOSPIN
ISOTOPES
KERNELS
LIGHT NUCLEI
MANY-BODY PROBLEM
MATRICES
NUCLEI
PARTICLE PROPERTIES
S MATRIX
SPIN
STABLE ISOTOPES