New look at α decay of heavy nuclei

Buck, B.; Merchant, A. C.; Perez, S. M.

doi:10.1103/physrevlett.65.2975

Cited by 155 publications

(127 citation statements)

References 3 publications

Supporting

Mentioning

121

Contrasting

Unclassified

Order By: Relevance

“…Typical solution sets for the nuclei of interest are shown in Table I. Our simple model gives reasonable radii close to or slightly larger than the nuclear radius for V 0 in the range 0 to 150 MeV [5].…”

mentioning

confidence: 78%

See 1 more Smart Citation

Bremsstrahlung inαDecay

1998

View full text Add to dashboard Cite

We present the first fully quantum mechanical calculation of photon radiation accompanying charged particle decay from a barrier resonance. The softphoton limit agrees with the classical results, but differences appear at nextto-leading-order. Under the conditions of α-decay of heavy nuclei, the main contribution to the photon emission stems from Coulomb acceleration and may be computed analytically. We find only a small contribution from the tunneling wave function under the barrier.Typeset using REVT E X 1

show abstract

mentioning

confidence: 78%

“…As is well known, there are multiple solution sets (r 0 , V 0 ) for a given decay energy and mean life, distinguished by the number of nodes of the inner wave function [5]. Typical solution sets for the nuclei of interest are shown in Table I.…”

mentioning

confidence: 99%

Bremsstrahlung inαDecay

1998

View full text Add to dashboard Cite

show abstract

“…In these models the widths are extracted from the tail of the wave function in the α-decay channel. The amount of clustering turned out to be comparable with unity (S ≈ 0.3), which shows that even the extreme cluster models are viable [4,5]. In the meantime, the applications of the extreme cluster model to heavy nuclei and radioactive decay have been spectacularly extended (see, e.g., Ref.…”

mentioning

confidence: 92%

Comment on “αdecay in the complex-energy shell model”

Lovas

2016

Phys. Rev. C

View full text Add to dashboard Cite

A recent paper by Id Betan and Nazarewicz re-opened the problem of the absolute width of the α-decay leading to a doubly magic nucleus. I point out a problematic aspect of this work, and reaffirm the correctness of the classical results.The α-decay width (Γ = 1.5 × 10 −15 MeV) of 212 Po was reproduced in a clusterconfiguration shell model [1] as well as in a shell model with a stochastically optimized Gaussian [2] basis twenty years ago. It looked [3] as though the problem had been settled once and for all. In these models the widths are extracted from the tail of the wave function in the α-decay channel. The amount of clustering turned out to be comparable with unity (S ≈ 0.3), which shows that even the extreme cluster models are viable [4,5]. In the meantime, the applications of the extreme cluster model to heavy nuclei and radioactive decay have been spectacularly extended (see, e.g., Ref.[6]).In the paper I am commenting on [7], however, Γ is reproduced in a shell model that yields S = 0.011, and that is obviously inconsistent with the cluster model and even with the classical microscopic calculations [1,2,8]. This calculation of Γ relies on the amount of clustering S, thus the correctness of S is crucial. I will argue for the validity of the classical results.The conventional α-formation amplitude g(R) and the amplitude G(R) of the amount of clustering S are defined as the radial factors ofwhere Φ P , Φ α , and Φ D are the intrinsic wave functions of the parent nucleus, the α-particle and the daughter, respectively, and N is the α-D norm operator. That is expressed as N = ν |ϕ ν n ν ϕ ν |, where N ϕ ν = n ν ϕ ν is the eigenvalue equation of N . The daughter being a heavy closed-shell core, the parent state is expressible as Φ P = A{Φ D Φ val }, with Φ val describing the valence nucleons.

show abstract

“…The traditional methods [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]such as the WKB approximation, and empirical formulas [23][24][25][26] are constantly evolving. Among these methods the microscopic * Corresponding author:lixiaohuaphysics@126.com double-folding model adopting density dependent M3Y force and the liquid drop model adopting the proximity potential have been researched frequently.…”

Section: Introductionmentioning

confidence: 99%

Systematic study ofαdecay half-lives for even-even nuclei within a two-potential approach

Sun

Guo

2016

Phys. Rev. C

View full text Add to dashboard Cite

α decay is a common and important process for natural radioactivity of heavy and superheavy nuclei. The α decay half-lives for even-even nuclei from Z=62 to Z=118 are systematically researched based on the two-potential approach with a quasi-stationary state approximation. To describe the deviations between experimental half-lives and calculated results due to the nuclear shell structure, a hindrance factor related with α particle preformation probability is introduced. Our results can well reproduce the experimental data equally to the density-dependent cluster model and the generalized liquid drop model. We also study the isospin effect of nuclear potential in this work. Considering the isospin effect the calculated results improved about 7.3%.

show abstract

New look at α decay of heavy nuclei

Cited by 155 publications

References 3 publications

Bremsstrahlung inαDecay

Bremsstrahlung inαDecay

Comment on “αdecay in the complex-energy shell model”

Systematic study ofαdecay half-lives for even-even nuclei within a two-potential approach

Contact Info

Product

Resources

About