α-particle decay through a deformed barrier

Stewart, Timothy L.; Kermode, M W; Beachey, D; Rowley, N.; Grant, I. S.; Kruppa, A. T.

doi:10.1016/s0375-9474(96)00404-6

Cited by 55 publications

(36 citation statements)

References 26 publications

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“…The theory of α-decay was formulated by Gamow a long time ago [19]. Subsequently various microscopic [20,21,22,23,24,25,26], macroscopic cluster [3,5,7,10,18] and fission [13,27] approaches to the description of α-decay have been proposed. The simple empirical relations described the α-decay half-lives [7,27,28,29] are discussed also.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore α-nucleus potential should depend on the angle θ between the direction of α-emission and the axial-symmetry axis of the deformed nucleus. Both the α-decay width and the transmission coefficient for tunnelling through the barrier are strongly dependent on θ [20,22,23,24,25,26,30,31,32,33]. This effect is considered in detail in microscopic models [23,24,25,26].…”

Section: Introductionmentioning

confidence: 99%

“…Both the α-decay width and the transmission coefficient for tunnelling through the barrier are strongly dependent on θ [20,22,23,24,25,26,30,31,32,33]. This effect is considered in detail in microscopic models [23,24,25,26]. Unfortunately, deformation and angle effects have not been considered in previously discussed cluster models of α-decay half-lives [3,5,6,7,10,13,18].…”

Section: Introductionmentioning

confidence: 99%

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α-nucleus potential for α-decay and sub-barrier fusion

2005

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The set of parameters for α-nucleus potential is derived by using the data for both the α-decay halflives and the fusion cross-sections around the barrier for reactions α+ 40 Ca, α+ 59 Co, α+ 208 Pb. The α-decay half-lives are obtained in the framework of a cluster model using the WKB approximation. The evaluated α-decay half-lives and the fusion cross-sections agreed well with the data. Fusion reactions between α-particle and heavy nuclei can be used for both the formation of very heavy nuclei and spectroscopic studies of the formed compound nuclei.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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α-nucleus potential for α-decay and sub-barrier fusion

2005

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“…This will bring in some errors for these nuclei in our calculation because the centrifugal potential is ignored in the present study. The deformation influences the α decay life time both on the preformation mechanism and on the penetration process [20,31,32,33]. In the present work, we have assumed the barrier potential to be spherical.…”

Section: B α-Decay Half-livesmentioning

confidence: 99%

A NEW BARRIER PENETRATION FORMULA AND ITS APPLICATION TO Α-Decay HALF-LIVES

Zhou

Zhao

et al. 2010

Int. J. Mod. Phys. E

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Starting from the WKB approximation, a new barrier penetration formula is proposed for potential barriers containing a long-range Coulomb interaction. This formula is especially proper for the barrier penetration with penetration energy much lower than the Coulomb barrier. The penetrabilities calculated from the new formula agree well with the results from the WKB method. As a first attempt, this new formula is used to evaluate α decay half-lives of atomic nuclei and a good agreement with the experiment is obtained.

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“…α-nucleus interactions have been studied most intensively in the context of the α-decay of nuclei (see experimental information [4][5][6][7][8][9][10][11][12][13][14][15][16], various microscopic models [17][18][19][20][21][22][23][24][25][26][27][28][29][30], macroscopic cluster models [31][32][33][34][35][36][37][38][39][40][41][42][43][44], fission models [3,46]), and the scattering of the α-particles off nuclei [47][48][49][50][51]. The physics of the fusion processes during α-capture have been investigated less deeply …”

Section: Introductionmentioning

confidence: 99%

Quantum design using a multiple internal reflections method in a study of fusion processes in the capture of alpha-particles by nuclei

Maydanyuk¹,

Zhang²,

Belchikov³

2015

Nuclear Physics A

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A high precision method to determine fusion in the capture of α-particles by nuclei is presented. For α-capture by 40 Ca and 44 Ca, such an approach gives (1) the parameters of the α-nucleus potential and (2) fusion probabilities. This method found new parametrization and fusion probabilities and decreased the error by 41.72 times for α + 40 Ca and 34.06 times for α + 44 Ca in a description of experimental data in comparison with existing results. We show that the sharp angular momentum cutoff proposed by Glas and Mosel is a rough approximation, Wong's formula and the Hill-Wheeler approach determine the penetrability of the barrier without a correct consideration of the barrier shape, and the WKB approach gives reduced fusion probabilities. Based on our fusion probability formula, we explain the difference between experimental cross-sections for α+ 40 Ca and α+ 44 Ca, which is connected with the theory of coexistence of the spherical and deformed shapes in the ground state for nuclei near the neutron magic shell N = 20. To provide deeper insight into the physics of nuclei with the new magic number N = 26, the cross-section for α + 46 Ca is predicted for future experimental tests. The role of nuclear deformations in calculations of the fusion probabilities is analyzed.

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α-particle decay through a deformed barrier

Cited by 55 publications

References 26 publications

α-nucleus potential for α-decay and sub-barrier fusion

α-nucleus potential for α-decay and sub-barrier fusion

A NEW BARRIER PENETRATION FORMULA AND ITS APPLICATION TO Α-Decay HALF-LIVES

Quantum design using a multiple internal reflections method in a study of fusion processes in the capture of alpha-particles by nuclei

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