Studies of nuclear second moments for pre-equilibrium nuclear reaction theories

Satō, Kazuo; Shiro, Yoshitsugu

doi:10.1007/bf01289568

Cited by 5 publications

(16 citation statements)

References 11 publications

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“…fm 3 is assumed 9 This value is obtained from the energy separation between the ground 2-state and the 1.309 MeV excited 4-state of 38C1. This value is about five times as small as that used in [12][13][14] where IPM spectra are degenerate in each class (except for [14]), and the strength is chosen to simulate the realistic independent particle model spectra for m = 4 states 9 The simple interaction given by (37) seems at first to be a crude model, but the calculated jR averaged second moments agree very well with those calculated with the interaction used in shell model calculations, GGSI, GGSII, and Rosenfeld forces which were adopted in [13,14]. The averaged square of matrix elements for diagonal (V2)D and nondiagonal (U2)ND agree with GGSI and GGSII results within 20% in both cases of 4~ and 2OSpb '…”

Section: Nuclear Modelmentioning

confidence: 88%

“…If the saddle point value a,, is put in (12) and IPM spectra is taken to be degenerate in each class, then (11) gives PLD corresponding to the pure GDE results. If realistic IPM spectra are used instead of degenerate ones, then (11) gives PLD in the convolution approximation [14].…”

Section: Level Density Of Formulamentioning

confidence: 99%

“…For the matrix elements appearing in (14) there are five kinds of scattering processes as shown in [12]. We take the first kind as an example; two particles q~ and qe interact to yield q~ and q~; these part is called the active part, while the rest is called the spectator, which remains unchanged during collisions.…”

Section: ~(~ T~jm=j)=s(~ Tzj)-s(z Tz J+ 1) (16)mentioning

confidence: 99%

“…The single particle energies and wave functions are generated as shown in [12], from Woods-Saxon potentials with parameters given in Bohr and Mottelson's book [18]. For the residual interaction a simple spin and isospin independent delta function…”

Section: Nuclear Modelmentioning

confidence: 99%

“…In the first paper [12] we used a simple zero range interaction to evaluate the second moments. The strength of the residual interaction was fixed to simulate the level distribution within the class.…”

Section: Introductionmentioning

confidence: 99%

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Exciton level densities with spin and parity based on random matrix model

Satō

Takahashi

Yoshida

1991

Z. Physik A - Hadrons and Nuclei

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Level densities for fixed J~ and the exciton number are evaluated for closed shell nuclei 4~ and z~ The single particle spectra and wave functions are generated by Woods-Saxon potentials. The effects of the residual interaction are taken into account statistically by the method of generating function and Grassmann integral. The matrix elements for the residual interaction are assumed to be random variables with Gaussian distributions whose second moments are calculated by using a zero range interaction. The second moments are evaluated for fixed J~ by ignoring the Pauli principle between active nucleons and the spectator. This approximation is shown numerically to be very good. The partial level densities are calculated using the second moments as well as independent particle model spectra. The resulting level densities spread over wider energy ranges, have a smoother energy dependence and are enhanced at low energies compared with the independent particle model densities, although the total level densities do not differ by much.

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Section: Nuclear Modelmentioning

confidence: 88%

Section: Level Density Of Formulamentioning

confidence: 99%

Section: ~(~ T~jm=j)=s(~ Tzj)-s(z Tz J+ 1) (16)mentioning

confidence: 99%

Section: Nuclear Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Exciton level densities with spin and parity based on random matrix model

Satō

Takahashi

Yoshida

1991

Z. Physik A - Hadrons and Nuclei

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Studies of nuclear second moments for pre-equilibrium nuclear reaction theories ? Extension to finite-range residual interaction

Satō

Shiro

1988

Z. Physik A - Atomic Nuclei

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Study of the nuclear second moments, important inputs to pre-equilibrium reaction theories, is extended to residual interactions of finite range. The interactions are assumed to have general spin and isospin dependence. The second moments are found to be always positive definite for commonly used values of the interaction parameters. They seem to support the strong coupling limit of the pre-equilibrium reaction theory by Nishioka et al. [1], which would imply the modification of the phenomenological model used in analyzing experimental data. As an application of the second moments, it is also investigated how the nuclear level densities change with the parameter values of the residual interaction. The results show the important role of the residual interaction especially in the low energy region, which may greatly improve the agreement with experimental data at thermal neutron resonances.

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