Calculation of the level density parameter using semi-classical approach

Canbula, Bora; Babacan, H.

doi:10.1016/j.nuclphysa.2011.03.009

Cited by 13 publications

(7 citation statements)

References 25 publications

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“…Table 1 includes these model definitions with their f rms and f lev values, which are calculated for 1136 nuclei using Eqs. (17) and (18), respectively, and also shows the results of our preceding studies [12,13]. The unique difference between Model 2 and the singleparticle potential used in Ref.…”

Section: Resultssupporting

confidence: 70%

“…This redescription takes into account corrections for both the shell and pairing effects in addition to the value obtained from the semi-classical approximation analytically or numerically. Using the semi-classical approximation [13] requires a well-defined single-particle potential because it directly determines ã, which is the limit value of the level density parameter for the energies above the neutron separation energy. Therefore, the single-particle potential almost remains the only component to improve the success of the reaction calculations that uses the level density as an ingredient.…”

Section: Introductionmentioning

confidence: 99%

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Effects of single-particle potentials on the level density parameter

et al. 2014

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The new definition of the energy dependence for the level density parameter including collective effects depends strongly on the semi-classical approach. For this method, defining an accurate single-particle potential is of great importance. The effect of the single-particle potential terms, which are central, spinorbit, harmonic oscillator, Woods-Saxon and Coulomb potential, both for spherical and deformed cases, on the level density parameter was investigated by examining the local success of the global parameterizations of eight different combinations of these terms. Among these combinations, the sum of the central, spinorbit, harmonic oscillator and Coulomb potentials, gives the most accurate predictions compared with experimental data. The local selections of the global parameterizations show that the single-particle models, which are based on Woods-Saxon potential as the main term, are more suitable candidates than the models based on harmonic oscillator potential to extrapolate away far from stability. Also it can be concluded that the contribution of the Coulomb interaction, both around the closed and open shells is not neglectable.

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Section: Resultssupporting

confidence: 70%

Section: Introductionmentioning

confidence: 99%

Effects of single-particle potentials on the level density parameter

et al. 2014

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“…Therefore, it can be concluded that the pairing of the valence nucleons has a strong influence on the collective excitations. [26] Effective 1.12 43.9 BSFGM [20] Effective 1.68 28.5 BSFGM [20] Collective 1.71 35.3 CGCM [20] Effective 1.76 24.2 CGCM [20] Collective 1.77 47.8 GSM [20] Effective 1.78 28.0 GSM [20] Collective 1.94 47. The goodness-of-fit estimators, f rms and f lev , values obtained from the both local and global calculations are given in Table 2.…”

Section: Resultsmentioning

confidence: 99%

“…The analytic calculation of the asymptotic level density parameter including the shell and pairing effects leads the semi-classical approach previously described in Ref. [26] to more physical point. In addition, the slight difference between the results of the global and local fit increases the reliability of the extrapolation of the global parameters to mass region from the stability valley to drip lines.…”

Section: Discussionmentioning

confidence: 99%

A Laplace-like formula for the energy dependence of the nuclear level density parameter

et al. 2014

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Collective effects in the level density are not well understood, and including these effects as enhancement factors to the level density does not produce sufficiently consistent predictions of observables. Therefore, collective effects are investigated in the level density parameter instead of treating them as a final factor in the level density. A new Laplacelike formula is proposed for the energy dependence of the level density parameter, including collective effects. A significant improvement has been achieved in agreement between observed and predicted energy levels. This new model can also be used in both structure and reaction calculations of the nuclei far from stability, especially near the drip lines.

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“…To use this method the deformation lengths of the projectile and target should be determined from a structure model. Nuclear level density (NLD) could have been one of the candidates but it always has been a problem to describe the low-lying collective states for NLD models [4,5]. To overcome this problem, recently, we have proposed a Laplace-like formula for the energy dependence of the nuclear level density parameter, which is the main parameter of NLD, including collective effects [6].…”

Section: Introductionmentioning

confidence: 99%

Nuclear level density as a tool for probing the inelastic scattering of ⁶He

Canbula

Babacan

2015

J. Phys.: Conf. Ser.

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The cross sections are calculated for the both elastic and inelastic scattering of 6 He from 12 C and 4 He. A phenomenological optical potential is used to describe the elastic scattering. 4 He is taken as spherical and inelastic couplings to the first excited states of 6 He and 12 C are described with collective rotational model and coupled-channels method. Deformation lengths for 6 He and 12 C are determined from semi-classical nuclear level density model by using Laplace-like formula for the nuclear level density parameter. The comparison of the predicted and the measured cross sections are presented to test the applicability of nuclear level density model to the light exotic nuclei reactions. Good agreement is achieved between the predicted and measured cross sections.

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Calculation of the level density parameter using semi-classical approach

Cited by 13 publications

References 25 publications

Effects of single-particle potentials on the level density parameter

Effects of single-particle potentials on the level density parameter

A Laplace-like formula for the energy dependence of the nuclear level density parameter

Nuclear level density as a tool for probing the inelastic scattering of ⁶He

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Calculation of the level density parameter using semi-classical approach

Cited by 13 publications

References 25 publications

Effects of single-particle potentials on the level density parameter

Effects of single-particle potentials on the level density parameter

A Laplace-like formula for the energy dependence of the nuclear level density parameter

Nuclear level density as a tool for probing the inelastic scattering of 6He

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Product

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Nuclear level density as a tool for probing the inelastic scattering of ⁶He