Semiempirical atomic mass law

Seeger, P.A.

doi:10.1016/0029-5582(61)90147-x

Cited by 235 publications

(57 citation statements)

References 12 publications

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“…[13], and shell corrections δU(T ) are considered to vanish exponentially, with T 0 = 1.5 MeV. The V LDM (T ) has the following form, based on the semi-empirical mass formula of Seeger [37],…”

Section: The Dynamical Cluster Decay Modelmentioning

confidence: 99%

Emission of intermediate mass fragments from hot¹¹⁶Ba* formed in low-energy⁵⁸Ni +⁵⁸Ni reaction

Balasubramaniam

Kumar

Gupta

et al. 2003

J. Phys. G: Nucl. Part. Phys.

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The complex fragments (or intermediate mass fragments) observed in the low-energy 58 Ni+ 58 Ni→ 116 Ba * reaction, are studied within the dynamical cluster decay model for s-wave with the use of the temperature-dependent liquid drop, Coulomb and proximity energies. The important result is that, due to the temperature effects in liquid drop energy, the explicit preference for α-like fragments is washed out, though the 12 C (or the complementary 104 Sn) decay is still predicted to be one of the most probable α-nucleus decay for this reaction. The production rates for non-α like intermediate mass fragments (IMFs) are now higher and the light particle production is shown to accompany the IMFs at all incident energies, without involving any statistical evaporation process in the model. The comparisons between the experimental data and the (s-wave) calculations for IMFs production cross sections are rather satisfactory and the contributions from other ℓ-waves need to be added for a further improvement of these comparisons and for calculations of the total kinetic energies of fragments.

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Section: The Dynamical Cluster Decay Modelmentioning

confidence: 99%

Emission of intermediate mass fragments from hot¹¹⁶Ba* formed in low-energy⁵⁸Ni +⁵⁸Ni reaction

Balasubramaniam

Kumar

Gupta

et al. 2003

J. Phys. G: Nucl. Part. Phys.

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“…The T-dependent liquid drop model used is that of Davidson et al [29] which is based on the semi-empirical mass formula of Seeger [30]. The model parameters of Seeger's formula at T=0 are re-fitted in view of the present availability of a larger data set for binding energies [31].…”

Section: Pacsmentioning

confidence: 99%

“…Apparently, the compound nucleus being hot at the energies involved, the V LDM should also depend on the temperature T. This is done here in this paper for the decay of 56 N i * formed in 32 S + 24 M g reaction at the two energies, E cm =51.6 and 60.5 MeV [2,3]. Also, the other terms of the potential, that constitute the scattering potential V (R), are considered T-dependent.The T-dependent liquid drop model used is that of Davidson et al [29] which is based on the semi-empirical mass formula of Seeger [30]. The model parameters of Seeger's formula at T=0 are re-fitted in view of the present availability of a larger data set for binding energies [31].…”

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confidence: 99%

Publisher’s Note: Cluster decay of hot56Ni⋆formed in the32
Gupta¹,
Kumar²,
Dhiman³
et al. 2003
Phys. Rev. C
12
4
33
0
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The decay of56 N i * , formed in 32 S + 24 M g reaction at the incident energies Ecm=51.6 and 60.5 MeV, is calculated as a cluster decay process within the Preformed Cluster-decay Model (PCM) of Gupta et al. re-formulated for hot compound systems. Interesting enough, the cluster decay process is shown to contain the complete structure of both the measured fragment cross sections and total kinetic energies (TKEs). The observed deformed shapes of the exit channel fragments are simulated by introducing the neck-length parameter at the scission configuration, which nearly coincides the 56 N i saddle configuration. This is the only parameter of the model, which though is also defined in terms of the binding energy of the hot compound system and the ground-state binding energies of the various emitted fragments. For the temperature effects included in shell corrections only, the normalized α-nucleus s-wave cross sections calculated for nuclear shapes with outgoing fragments separated within nuclear proximity limit (here ∼0.3 fm) can be compared with the experimental data, and the TKEs are found to be in reasonably good agreement with experiments for the angular momentum effects added in the sticking limit for the moment of inertia. The incident energy effects are also shown in predicting different separation distances and angular momentum values for the best fit. Also, some light particle production (other than the evaporation residue, not treated here) is predicted at these energies and, interestingly, 4 He, which belongs to evaporation residue, is found missing as a dynamical cluster-decay fragment. Similar results are obtained for temperature effects included in all the terms of the potential energy. The non-α fragments are now equally important and hence present a more realistic situation with respect to experiments. [2][3][4][5][6][7][8]). At such incident energies, the incident flux is found to get trapped by the formation of a compound nucleus (CN), which is in addition to a significant large-angle elastic scattering cross section. For lighter masses (A CN < 44), such a compound nucleus decays subsequently by the emission of mainly light particles (n, p, α) and γ-rays; i.e. with very small component of heavy fragment (A > 4) emission. An experimental measure of this so-called particle evaporation residue yield is the CN fusion cross section. For somewhat heavier systems, like 48 Cr and 56 N i, a significant decay strength to A > 4 fragments, the mass-asymmetric channels, is also observed which could apparently not arise from a direct reaction mechanism because of the large mass-asymmetry differences between the entrance and exit channels. The measured angular distributions and energy spectra are consistent with fission-like decays of the respective compound systems. PACSFor the 32 S + 24 M g → 56 N i * reaction, in one of the experiments, the mass spectra for A=12 to 28 fragments and the total kinetic energy (TKE) for only the most favoured (enhanced yields) α-nucleus fragments are measured at the energies E ...

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“…The T dependent liquid drop part of the binding energy V LDM (T ) is taken from Davidson et al [40], based on the semi-empirical mass formula of Seeger [41], as…”

Section: The Dynamical Cluster-decay Model (Dcm)mentioning

confidence: 99%

Clustering effects and decay analysis of the light-mass N=Z and N≠Z composite systems formed in heavy ion collisions

et al. 2017

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respectively, formed in low energy heavy ion reactions at different excitation energies, within the collective clusterization approach of the dynamical cluster-decay model (DCM) of Gupta and collaborators based on quantum mechanical fragmentation theory (QMFT). Considering quadrupole deformated and compact orientated nuclei, a comparative decay analysis of these systems has been undertaken for the emission of different intermediate mass fragments ( 16 O cluster and non-α cluster 14 C (more so in 22 Ne * N =Z composite system), supported by the Ikeda diagrams, taking into account the proper pairing strength in the temperature dependent liquid drop energies. Within the DCM, we notice that at higher excitation energies in addition to xα (where x is an integer) type clusters from N=Z composite systems and xn-xα type clusters from N =Z composite systems, np-xα type clusters are relatively quite dominant, with larger preformation probability due to the decreased pairing strength at higher temperatures in the liquid drop energies. Also, the study reveals the presence of competing reaction mechanisms of compound nucleus (fusion-fission, FF ) and of noncompound nucleus origin (deep inelastic orbiting, DIO) in the decay of very light mass composite systems 20,21,22 Ne * and 28 Si * at different excitation energies. The DIO contribution in the intermediate mass fragments (IMFs) cross section σIMF s is extracted for these composite systems, σIMF s is given as the sum of FF cross section σF F and DIO cross section σDIO. The DCM calculated FF cross-sections σ DCM F F are in good agreement with the available experimental data.

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Semiempirical atomic mass law

Cited by 235 publications

References 12 publications

Emission of intermediate mass fragments from hot¹¹⁶Ba* formed in low-energy⁵⁸Ni +⁵⁸Ni reaction

Emission of intermediate mass fragments from hot¹¹⁶Ba* formed in low-energy⁵⁸Ni +⁵⁸Ni reaction

Publisher’s Note: Cluster decay of hot56Ni⋆formed in the32
Gupta¹,
Kumar²,
Dhiman³
et al. 2003
Phys. Rev. C
12
4
33
0
View full text Add to dashboard Cite

Clustering effects and decay analysis of the light-mass N=Z and N≠Z composite systems formed in heavy ion collisions

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Semiempirical atomic mass law

Cited by 235 publications

References 12 publications

Emission of intermediate mass fragments from hot116Ba* formed in low-energy58Ni +58Ni reaction

Emission of intermediate mass fragments from hot116Ba* formed in low-energy58Ni +58Ni reaction

Publisher’s Note: Cluster decay of hot56Ni⋆formed in the32Gupta1, Kumar2, Dhiman3 et al. 2003Phys. Rev. C124330View full textAdd to dashboardCite

Clustering effects and decay analysis of the light-mass N=Z and N≠Z composite systems formed in heavy ion collisions

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Emission of intermediate mass fragments from hot¹¹⁶Ba* formed in low-energy⁵⁸Ni +⁵⁸Ni reaction

Emission of intermediate mass fragments from hot¹¹⁶Ba* formed in low-energy⁵⁸Ni +⁵⁸Ni reaction

Publisher’s Note: Cluster decay of hot56Ni⋆formed in the32
Gupta¹,
Kumar²,
Dhiman³
et al. 2003
Phys. Rev. C
12
4
33
0
View full text Add to dashboard Cite