Failure of the Woods-Saxon nuclear potential to simultaneously reproduce precise fusion and elastic scattering measurements

Mukherjee, A.; Hinde, David; Dasgupta, M.; Hagino, K.; Newton, J.O.; Butt, Rachel D

doi:10.1103/physrevc.75.044608

Cited by 90 publications

(46 citation statements)

References 25 publications

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“…In coupled-channel formalism the nuclear potential used is usually of the form of the WS potential. Recent systematic studies of the heavy ion cross section data using this formalism reveal that in order to have an agreement between the theoretical and experimental cross section data a WS nuclear potential with a diffuseness parameter of 0.8 to 1.4 fm is needed [1][2][3][4][5], which is greater than the accepted value of 0.63 fm obtained from the scattering studies [6][7][8]. There have been different attempts in order to explain this discrepancy [9,10].…”

Section: Introductionmentioning

confidence: 82%

The effect of the nuclear state equation on the surface diffuseness parameter of the Woods–Saxon potential in the heavy ion fusion reactions

Ghodsi

Zanganeh

2010

Nuclear Physics A

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Section: Introductionmentioning

confidence: 82%

The effect of the nuclear state equation on the surface diffuseness parameter of the Woods–Saxon potential in the heavy ion fusion reactions

Ghodsi

Zanganeh

2010

Nuclear Physics A

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“…The follow-up study in Ref. [33] intended to reconcile the nuclear potential to simultaneously reproduce elastic scattering and the fusion excitation function in the 12 C+ 208 Pb reaction. No set of parameters was found that could reproduce both sets of experimental data.…”

Section: Discussionmentioning

confidence: 99%

“…A potential depth of 550 MeV, radius parameter of 0.5 fm, and diffuseness parameter of 3 fm, as one of the better cases yielded, or radius parameter of 1.2 fm and diffuseness parameter of 0.5 fm in the second attempt, is unrealistic and hardly meaningful. The notion that V 0 , r 0 , and a 0 in a coupled-channels calculation should be regarded as simple parameters [33] implies they have no physical meaning. This claim seems arbitrary, unless the quantity the parameters control, the Wood-Saxon potential, has no physical meaning.…”

Section: Discussionmentioning

confidence: 99%

Isospin dependence of capture cross sections: TheS36+Pb208reaction

et al. 2010

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The capture-fission cross section for the 36 S+ 208 Pb reaction was measured for seven center-of-mass energies ranging from 147.5 to 210.2 MeV. A comparison of the deduced interaction barriers from "distribution of barriers" measurements and simple 1/E c.m. plots for 13 well-characterized systems shows the validity of the latter approach for deducing interaction barriers, especially for reaction systems involving radioactive beams where the former measurements are not currently feasible. Application of the 1/E c.m. plot technique for the 36 S+ 208 Pb reaction gives an interaction barrier height of 140.4 ± 1.4 MeV. This value as well as the deduced interaction barriers for all known studies of capture cross sections with radioactive beams are in good agreement with recent predictions of an improved isospin-dependent quantum molecular dynamics model and a modified version of capture cross-section systematics by Swiatecki et al. The deduced barriers for these n-rich systems are lower than one would expect from semiempirical systematics based upon the Bass potential. In addition to the barrier lowering, there is an enhanced subbarrier cross section in these n-rich systems not predicted by the Bass potential systematics. These enhanced subbarrier cross sections may be important in the synthesis of the heaviest nuclei. PACS number(s): 25.70.Jj, 25.85.−w, 25.60.Pj I. INTRODUCTIONThe synthesis and study of the heaviest elements is one of the forefront areas of nuclear science. Most of these studies have involved complete fusion reactions where one can represent the cross section for producing a heavy reaction product, σ EV R , by the equation,where σ CN is the complete fusion cross section and W sur is the survival probability of the completely fused system. The complete fusion cross section can be written aswhere σ capture (E c.m. , J ) is the "capture" cross section at center-of-mass (c.m.) energy E c.m. and spin J and P CN is the probability that the projectile-target system will evolve inside the fission saddle point to form a completely fused system rather than reseparating (quasifission). Occasionally

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“…An important fact to notice is that the double folding method works only in the surface region of the potential. For elastic and inelastic scattering, the surface region of the potential is mainly probed and a double folding potential is reasonable [22][23][24][25][26]. In marked contrast, fusion reactions involve both the surface and the inner regions, where two nuclei appreciably overlap with each other.…”

Section: Coupled-channels Approach To Heavy-ion Fusion Reactionsmentioning

confidence: 99%

Semimicroscopic modeling of heavy-ion fusion reactions with multireference covariant density functional theory

Hagino

Yao

2015

Phys. Rev. C

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We describe low-lying collective excitations of atomic nuclei with the multi-reference covariant density functional theory, and combine them with coupled-channels calculations for heavy-ion fusion reactions at energies around the Coulomb barrier. To this end, we use the calculated transition strengths among several collective states as inputs to the coupled-channels calculations. This approach provides a natural way to describe anharmonic multi-phonon excitations as well as a deviation of rotational excitations from a simple rigid rotor. We apply this method to subbarrier fusion reactions of 58 Ni+ 58 Ni, 58 Ni+ 60 Ni and 40 Ca+ 58 Ni systems. We find that the effect of anharmonicity tends to smear the fusion barrier distributions, better reproducing the experimental data compared to the calculations in the harmonic oscillator limit.

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Failure of the Woods-Saxon nuclear potential to simultaneously reproduce precise fusion and elastic scattering measurements

Cited by 90 publications

References 25 publications

The effect of the nuclear state equation on the surface diffuseness parameter of the Woods–Saxon potential in the heavy ion fusion reactions

The effect of the nuclear state equation on the surface diffuseness parameter of the Woods–Saxon potential in the heavy ion fusion reactions

Isospin dependence of capture cross sections: TheS36+Pb208reaction

Semimicroscopic modeling of heavy-ion fusion reactions with multireference covariant density functional theory

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