Average partial level density based on the random matrix model. Inclusion of realistic one-body spectrum and effect of particle escape

Satō, Kazuo; Shiro, Yoshitsugu

doi:10.1007/bf01565144

Cited by 6 publications

(15 citation statements)

References 15 publications

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“…The formulae to calculate PLD taking the IPM level density as input was derived in the previous paper [14]. In the present work the spin and parity are assigned to each quantity, nevertheless in this section we reproduce the formulae which appeared in [14] without J~, because the formulae in this section contain no angular momentum coupling.…”

Section: Level Density Of Formulamentioning

confidence: 98%

“…In the second paper [13] the zero range residual interaction was replaced by finite range ones, and various properties had been investigated. In the last papers [14,15] realistic independent particle model (IPM) spectra were introduced. In these works the spin and parity are not taken into account, so the PLD are averaged ones with respect to spin and parity.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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: Level Density Of Formulamentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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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“…In the applications of this method, however, this limiting situation is often not satisfactorily realized and it becomes necessary to calculate higher moments of the Hamiltonian, which is an increasingly difficult task [92,93]. This has prompted a search for various refinements of the method and for alternative approaches [25,26,29,30,94]. Pluhar and Weidenmfiller [26] have recently proposed a method which was originally introduced for calculations of fluctuation or transport properties in statistical nuclear reaction theory.…”

Section: Introductionmentioning

confidence: 99%

“…Pluhar and Weidenmfiller [26] have recently proposed a method which was originally introduced for calculations of fluctuation or transport properties in statistical nuclear reaction theory. Sato et al [29,30] have developed a new method to calculate nuclear level densities on the basis of random matrices.…”

Section: Introductionmentioning

confidence: 99%

Gaussian polynomial method for spin-dependent level density and new formula for spin distribution

Paar

Sunko

Brant

et al. 1993

Z. Physik A - Hadrons and Nuclei

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Abstract. Large-scale combinatorial calculations of level densities were performed for selected nuclei using Gaussian polynomial generating function method (GPM). Contrary to the results of previous combinatorial calculations, we find a good agreement of the combinatorial total level densities and Bethe formula. Combinatorial GPM calculations were performed also for spin-dependent level densities and comparison is made with various algebraic formulas. On the basis of our GPM calculations we propose a new phenomenological spin-dependent level density formula, which in the low-spin limit reduces to the spin-dependent formula of Bethe. The new formula (24) is for all spins factorized into the product of total level density and spin distribution function, where the spin distribution function (25) contains an additional spin correction parameter.

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“…The method which was used to calculate the ensemble-averaged level densities employs a representation of the Green's function of a random Hamiltonian in terms of a Grassmann integral, and a saddle-point approximation. In a more complex but also * On leave flom the Charles University, Prague, Czech Republic more realistic framework, this approach has meanwhile been used for practical calculations [5,6]. In principle, the approach can be used for estimating the level densities of general Hamiltonians which act in a finite-dimensional Hilbert space.…”

Section: Introductionmentioning

confidence: 99%