Rotational-state energies of. cap alpha. -cluster nuclei in the Brink model with wave functions of exponential asymptotic behavior

Journal Article · Mon Nov 01 04:00:00 EST 1976 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:7117915

Kinchakov, V S

The semiempirical-factorization approximation (E. V. Inopin et al., Izv. Akad. Nauk SSSR, Ser. Fiz. 39, 55 (1975)) with elimination of the center-of-mass motion of the /sup 4/He nucleus is proved by expanding one-particle wave functions with exponential asymptotic behavior in Gaussian functions. In this approximation expressions are obtained for the energies of rotational states of ..cap alpha..-cluster nuclei in the Brink model with wave functions having realistic asymptotic behavior. It is shown by direct calculation that the rotational-state energies are close to those obtained earlier in the Gaussian approximation. The parameters of the wave functions found in variational calculations of rotational-state energies agree with those obtained through analysis of electron-scattering form factors. It is shown that allowance for the exponential asymptotic behavior of the one-particle functions leads to an effective polarization of the ..cap alpha..-clusters.

• Research Organization: Khabarovsk Polytechnic Institute
• OSTI ID: 7117915
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 24:5; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

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653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA PARTICLES
CHARGED PARTICLES
CLUSTER MODEL
ENERGY LEVELS
EXCITED STATES
FACTORIZATION
FUNCTIONS
MATHEMATICAL MODELS
NUCLEAR MODELS
POLARIZATION
ROTATIONAL STATES
VARIATIONAL METHODS
WAVE FUNCTIONS