Clusters in Light, Heavy, Super-Heavy and Super-Superheavy Nuclei

Gupta, Raj K.; Arun, Sham K.; Singh, Dalip; Kumar, Raj; Niyti,; Patra, S. K.; Arumugam, P.; Sharma, B. K.

doi:10.1142/s0218301308011422

Cited by 13 publications

(28 citation statements)

References 10 publications

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“…the entrance channel center of mass (c.m.) energy and max the maximum angular momentum whose value depends on the choice of moment-of-inertia I in the sticking (I = I S ) or nonsticking (I = I NS ) limit for the angular-momentum-dependent potential (see [16,18,21], and also below). m is the nucleon mass.…”

Section: Dynamical Cluster-decay Model and The Treatment Of New Magic...mentioning

confidence: 99%

“…For this purpose, we choose to calculate the fusion evaporation residue cross sections σ ER for the three cases of Z = 114, 120 or 126 and N = 184 as magic numbers, using the hot fusion reaction 48 Ca+ 238 U→ 286 112 * as an example. We use the dynamical cluster-decay model (DCM) of Gupta and Collaborators [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] for calculating σ ER , where the shell corrections for the three cases of Z = 114, 120 or 126, N = 184 are calculated from the 'empirical' formula of Myers and Swiatecki [5]. Of course, the liquid drop energies have also to be modified accordingly, taken from the work of Davidson et al [24], based on Seeger's mass formula [25].…”

Section: Introductionmentioning

confidence: 99%

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Island of stability for superheavy elements and the dynamical cluster-decay model for fusion evaporation residue cross sections:⁴⁸Ca+²³⁸U→²⁸⁶112* as an example

Gupta

Niyti

Manhas

et al. 2009

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

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The dynamical cluster-decay model (DCM), with deformation effects up to hexadecapole deformations and 'compact' orientations included, is used to calculate the fusion evaporation residue cross sections σ ER for 3-and 4-neutron emission in a hot fusion reaction 48 Ca+ 238 U→ 286 112 * at various incident energies, taking three different proton magic numbers Z = 114, 120 or 126 and N = 184 for the superheavy region. In each case, the shell corrections are obtained from an 'empirical' formula, with the corresponding liquid drop energies adjusted to give the experimental binding energies. This is done for all possible mass (and charge) fragmentations of the compound system. The DCM gives a good description of the measured fusion excitation function, σ ER (=σ 3n +σ 4n ) as a function of the compound nucleus excitation energy E * , within one parameter fitting, the neck length R(E * ). Of all the three choices of magic numbers, the fusion evaporation residue cross section remains the largest for the case of Z = 126, N = 184, and the lowest for the Z = 114, N = 184 case, thereby clearly suggesting that Z = 126, N = 184 are the strongest magic numbers (largest shell corrections), and Z = 114, N = 184 are the weakest (smallest shell corrections), with Z = 120, N = 184 lying in between. Thus, the present study seems to support the island of stability for superheavy nuclei centering around Z = 126, N = 184, rather than around Z = 114, N = 184, with Z = 120, N = 184 as the second best possibility.

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Section: Dynamical Cluster-decay Model and The Treatment Of New Magic...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Island of stability for superheavy elements and the dynamical cluster-decay model for fusion evaporation residue cross sections:⁴⁸Ca+²³⁸U→²⁸⁶112* as an example

Gupta

Niyti

Manhas

et al. 2009

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

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“…For a compound nucleus reaction, the fusion cross-section σ fus is defined as the sum of the cross-section due to the emission of light particles (LPs), the so-called evaporation residue or fusion-evaporation cross-section σ evr , and the fission cross-section due to the decay of compound nucleus into symmetric and/or near symmetric fragments, the so-called fusionfission (ff) component σ ff . For a medium mass compound system, such as 116 Ba * formed in the 58 Ni+ 58 Ni reaction [4,5], instead of the complete ff cross-section [6,7], fragments or 'clusters' of intermediate masses, denoted σ IMF , are observed at both the high and medium, abovebarrier energies. More recently, however, the ff component is measured for the neighbouring 118,122 Ba * isotopes formed in 78,82 Kr+ 40 Ca reactions at further lower energies [8].…”

Section: Introductionmentioning

confidence: 99%

Fusion–evaporation cross-sections for the⁶⁴Ni+¹⁰⁰Mo reaction using the dynamical cluster-decay model

Arun¹,

Kumar²,

Gupta³

2009

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

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The decay of hot and rotating compound nucleus 164 Yb * , formed in heavy ion reaction 64 Ni+ 100 Mo at both below-and above-barrier energies, is studied on the basis of the dynamical cluster-decay model (DCM) with effects of deformations and orientations of nuclei included in it. There is only one parameter in this model, namely the neck-length parameter, which varies smoothly with the temperature of the compound nucleus at both below-and above-barrier energies, and its value remains within the range of validity of the proximity potential. The emission of light particles (xn, x-neutrons, x = 1-4) as well as the energetically favoured intermediate mass fragments (IMFs) of both the light (5 A 2 20) and heavy (40 A 2 50) masses, together with the symmetric fission (SF) channel ((A/2) ± 20), is considered as the dynamical collective mass motions of preformed fragments or clusters through the barrier. The light-mass IMFs, the heavy-mass fragments (HMFs) and SF, constituting the fusion-fission (ff) cross-section, contribute only at above-barrier energies, and are compatible with the CASCADE analysis of experimental data. A best fit to data is obtained for two different neck-length parameters, one for light particles (LPs) and another for all other decay channels, the ff crosssection. The barrier height corresponding to the neck-length parameter for LPs gives 'barrier lowering' in a straightforward way for the best-fitted fusionevaporation cross-sections in DCM, and, in contrast to the (statistical model) analysis of experimental data, results in largest contribution for 1n emission. A further study is called for both the LPs and ff channels.

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“…and the nuclear proximity potential for deformed, oriented nuclei employing temperature effects, reads as V P (s 0 (T )) = 4π R(T )γb(T )Φ(s 0 (T )) , (5) where b(T ) is the nuclear surface thickness, γ is the surface energy constant, R(T ) is the mean curvature radius and Φ(s 0 (T )) is the universal function (for more details see Refs. [33][34]). The angular momentum effects are included via the following expression…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Decay Analysis of Ge Isotopes Formed in Reactions Induced by Tightly and Loosely Bound Projectiles

Kaur¹,

Sandhu²,

Sharma³

2018

Commun. Theor. Phys.

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The dynamical cluster-decay model (DCM) is employed to investigate the decay of 68,70 Ge * compound nuclei formed respectively via tightly ( 4 He) and loosely ( 6 He) bound projectiles, using 64 Zn target. The study is carried out over a wide energy range (Ec.m.∼5 MeV to 16 MeV) by including the quadrupole deformations (β2i) and optimum orientations (θ opt i ) of the decaying fragments. The fusion cross-sections, obtained by adding various evaporation channels show nice agreement with the experimental data for 4 He+ 64 Zn reaction. The contribution from competing compound inelastic scattering channel is also analyzed particularly for 68 Ge * nucleus at above barrier energies. On the other hand, the decrement in the fusion cross-sections of 70 Ge * nuclear system is addressed by presuming that 65 Zn ER is formed via two different modes: (i) the αn evaporation of 70 Ge * nucleus, and (ii) 1n-evaporation of 66 Zn * nuclear system, formed via breakup and 2n-transfer channels due to halo structure of the 6 He projectile. Besides this, the suppression in 2np evaporation cross-sections suggests the contribution of another breakup and transfer process of 6 He i.e. 4 He+ 64 Zn. The contribution of breakup+transfer channels for 6 He+ 64 Zn reaction is duly addressed by applying relevant energy corrections due to the breakup of " 6 He" projectile into 2n and 4 He. In addition to this, the barrier lowering, angular momentum and energy dependence effects are also explored in view of the dynamics of chosen reactions.

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Clusters in Light, Heavy, Super-Heavy and Super-Superheavy Nuclei

Abstract: Clustering phenomenon in nuclei is studied within the relativistic as well as non-relativistic mean field approaches, and also as a collective clusterization process in the decaying hot compound nucleus.

Cited by 13 publications

References 10 publications

Island of stability for superheavy elements and the dynamical cluster-decay model for fusion evaporation residue cross sections:⁴⁸Ca+²³⁸U→²⁸⁶112* as an example

Island of stability for superheavy elements and the dynamical cluster-decay model for fusion evaporation residue cross sections:⁴⁸Ca+²³⁸U→²⁸⁶112* as an example

Fusion–evaporation cross-sections for the⁶⁴Ni+¹⁰⁰Mo reaction using the dynamical cluster-decay model

Decay Analysis of Ge Isotopes Formed in Reactions Induced by Tightly and Loosely Bound Projectiles

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Clusters in Light, Heavy, Super-Heavy and Super-Superheavy Nuclei

Abstract: Clustering phenomenon in nuclei is studied within the relativistic as well as non-relativistic mean field approaches, and also as a collective clusterization process in the decaying hot compound nucleus.

Cited by 13 publications

References 10 publications

Island of stability for superheavy elements and the dynamical cluster-decay model for fusion evaporation residue cross sections:48Ca+238U→286112* as an example

Island of stability for superheavy elements and the dynamical cluster-decay model for fusion evaporation residue cross sections:48Ca+238U→286112* as an example

Fusion–evaporation cross-sections for the64Ni+100Mo reaction using the dynamical cluster-decay model

Decay Analysis of Ge Isotopes Formed in Reactions Induced by Tightly and Loosely Bound Projectiles

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Resources

About

Island of stability for superheavy elements and the dynamical cluster-decay model for fusion evaporation residue cross sections:⁴⁸Ca+²³⁸U→²⁸⁶112* as an example

Island of stability for superheavy elements and the dynamical cluster-decay model for fusion evaporation residue cross sections:⁴⁸Ca+²³⁸U→²⁸⁶112* as an example

Fusion–evaporation cross-sections for the⁶⁴Ni+¹⁰⁰Mo reaction using the dynamical cluster-decay model