Shape diffusion in the shell model

Bush, Brian; Bertsch, G. F.; Brown, B. A.

doi:10.1103/physrevc.45.1709

Cited by 35 publications

(39 citation statements)

References 31 publications

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“…[6], the theoretical diffusion rate was an order of magnitude slower than found in the analysis of Ref. [2].…”

contrasting

confidence: 47%

“…This is a generalization of the treatment of Ref. [6], which assumed all I; equal. To be more realistic, we have to consider the effect of the level density on the rates.…”

Section: Several Authors Have Applied the Smoluchowski Equationmentioning

confidence: 94%

“…Recently, Bush, Bertsch, and Brown proposed a model of the shape dynamics of highly excited nuclei from quite a different point of view [6]. They start with the basic assumption that the highly excited nucleus can be described as an incoherent mixture of Hartree-Fock configurations at a given energy.…”

mentioning

confidence: 99%

“…. .P, , +I, +, P, +, , where P, is the probability of finding where the diffusion coefficient D& may be expressed in terms of microscopic quantities (such as the residual interaction V; } as [6] In deriving Eq. (1), we have also defined the temperature as the inverse logarithmic derivative of the level density and used the chain rule, Bp/BP=(Bp/BE' )(BE*/BP).…”

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confidence: 99%

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Nuclear fission with diffusive dynamics

Cha

Bertsch

1992

Phys. Rev. C

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We investigate the dynamics of nuclear fission, assuming purely diffusive motion up to the saddle point.The resultingSmoluchowski equation is solved for conditions appropriate to the ' 0+' Nd~'"Er reaction at 207 MeV. The solution is characterized by an equilibration time~0 for the system to reach steady state, and the fission decay rate in steady state, A. We find that the equilibration time~0 plays a very small role in determining the number of prescission neutrons. The diffusion coefficient extracted from the experimental data is larger than the theoretical in the work of Bush, Bertsch, and Brown by a factor of 5 -11.PACS number(s): 24.75.+i, 24.60.KyIt is necessary to understand the dynamics of large amplitude shape change in order to describe a number of processes for which the statistical model fails. This includes several effects associated with fission, including the emission of prescission neutrons [1 -3] and the emission of giant dipole photons [4]. On the theoretical side, large amplitude shape dynamics is most commonly treated assuming the average motion can be described by Newtonian mechanics with inertial and linear friction parameters

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“…[6], the theoretical diffusion rate was an order of magnitude slower than found in the analysis of Ref. [2].…”

contrasting

confidence: 47%

“…This is a generalization of the treatment of Ref. [6], which assumed all I; equal. To be more realistic, we have to consider the effect of the level density on the rates.…”

Section: Several Authors Have Applied the Smoluchowski Equationmentioning

confidence: 94%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Nuclear fission with diffusive dynamics

Cha

Bertsch

1992

Phys. Rev. C

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“…The force strength v τ is taken the same as Refs. [20,18,19]. Diagonalizing the shell model Hamiltonian, we obtain a set of eigen solutions for each spin I and parity π.…”

Section: Configuration Mixing and E2 Transitions Among Sd Statesmentioning

confidence: 99%

Barrier penetration and rotational damping of thermally excited superdeformed nuclei

Yoshida

Shimizu

2001

Nuclear Physics A

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We construct a microscopic model of thermally excited superdeformed states that describes both the barrier penetration mechanism, leading to the decay-out transitions to normal deformed states, and the rotational damping causing fragmentation of rotational E2 transitions. We describe the barrier penetration by means of a tunneling path in the two-dimensional deformation energy surface, which is calculated with the cranked Nilsson-Strutinsky model. The individual excited superdeformed states and associated E2 transition strengths are calculated by the shell model diagonalization of the many-particle many-hole excitations interacting with the delta-type residual two-body force. The effect of the decay-out on the excited superdeformed states are discussed in detail for 152 Dy, 143 Eu and 192 Hg. The model predicts that the decay-out brings about a characteristic decrease in the effective number of excited superdeformed rotational bands.

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