Generating function for angular momentum multiplicities

Sunko, D. K.; Svrtan, Dragutin

doi:10.1103/physrevc.31.1929

Cited by 18 publications

(13 citation statements)

References 3 publications

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“…More than one decade ago, a third route was studied by Katriel et al [3] and Sunko et al [4], who constructed generating functions of the number of states for fermions in a single-j shell or bosons with spin l.…”

mentioning

confidence: 99%

Number of spinIstates of identical particles

Zhao

2005

Phys. Rev. C

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mentioning

confidence: 99%

Number of spinIstates of identical particles

Zhao

2005

Phys. Rev. C

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“…Recently, a new and more efficient combinatorial method was introduced [20,84] to calculate nuclear level densities. This method is based on the use of Gaussian polynomials [85] as quantum mechanical generating functions.…”

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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“…In principle, because the combinatorial algorithm [17] exploited by SPINDIS can be also applied to bosons, as illustrated in the previous section, the vibrational enhancement can be described directly in the micro-canonical frame. A similar procedure is followed in Ref.…”

Section: Collective Enhancementmentioning

confidence: 99%

“…(16). By using recursion relations [17] for the coefficients in Eq. (15), SPINDIS allows high-speed computation.…”

Section: Combinatorial Algorithmmentioning

confidence: 99%

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Combinatorial level densities from a relativistic structure model

Pezer¹,

Ventura²,

Vretenar³

2003

Nuclear Physics A

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A new model for calculating nuclear level densities is investigated. The singlenucleon spectra are calculated in a relativistic mean-field model with energy-dependent effective mass, which yields a realistic density of single-particle states at the Fermi energy. These microscopic single-nucleon states are used in a fast combinatorial algorithm for calculating the non-collective excitations of nuclei. The method, when applied to magic and semi-magic nuclei, such as 60 Ni, 114 Sn and 208 Pb, reproduces the cumulative number of experimental states at low excitation energy, as well as the s-wave neutron resonance spacing at the neutron binding energy. Experimental level densities above 10 MeV are reproduced by multiplying the non-collective level densities by a simple vibrational enhancement factor. Problems to be solved in the extension to open-shell nuclei are discussed.

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Generating function for angular momentum multiplicities

Cited by 18 publications

References 3 publications

Number of spinIstates of identical particles

Number of spinIstates of identical particles

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

Combinatorial level densities from a relativistic structure model

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