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Search: Author = S.Chopra

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2023CH39      Phys.Rev. C 108, L021601 (2023)

S.Chopra, P.O.Hess, M.K.Sharma

Conspicuous role of the neck-length parameter for future superheavy element discoveries

NUCLEAR REACTIONS 93Nb(12C, X)105Ag, E*=40.959, 54.067 MeV;172Yb(48Ca, X)220Th, E*=35.4 MeV;235U(11B, X)246Bk, E*=35-58 MeV; calculated neck-length parameter for different decay channels. Calculations within within the framework of the dynamical cluster-decay model (DCM).

doi: 10.1103/PhysRevC.108.L021601
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2023KU02      Phys.Rev. C 107, 014610 (2023)

N.Kumari, A.Deep, S.Chopra, R.Kharab

Systematic analysis of the decay of 287, 288, 290, 292Fl* formed in the complete fusion reactions 239, 240, 242, 244Pu + 48Ca including Skyrme forces

NUCLEAR REACTIONS 244Pu(48Ca, X)292Fl*, E=46.9*; calculated scattering potential for hot fusion at fixed temperature, mass fragmentation potential, preformation yields. 239Pu(48Ca, X)287Fl*,240Pu(48Ca, X)288Fl*,242Pu(48Ca, X)290Fl*,244Pu(48Ca, X)292Fl*, E=32.5-52.6 MeV; calculated σ (excitation functions) of 1n, 2n, 3n, 4n, 5n channels from compound nuclei 287,288,290,292Fl*. Quantum mechanical fragmentation theory (QMFT) based dynamical cluster-decay model (DCM) calculations using SLy4, SkM* and KDE0(v1) Skyrme interactions. Comparison with available experimental data.

doi: 10.1103/PhysRevC.107.014610
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2022CH03      Phys.Rev. C 105, 014610 (2022)

S.Chopra, M.K.Sharma, P.O.Hess, J.Bedi

Possibility to form Z=120 via the 64Ni + 238U reaction using the dynamical cluster-decay model

NUCLEAR REACTIONS 238U(64Ni, X)302120*, E(cm)=260-300 MeV; calculated mass fragmentation potential, evaporation residues (ERs) σ(E), fission and quasifission σ(E), preformation probability as a function of fragment mass number. 248Cm(54Cr, X)302120*, E*=39.7 MeV; calculated preformation probability as a function of fragment mass number. Dynamical cluster-decay model (DCM). Comparison with available experimental data.

doi: 10.1103/PhysRevC.105.014610
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2022CH43      Phys.Rev. C 106, L031601 (2022)

S.Chopra, N.Goel, M.K.Sharma, P.O.Hess, Hemdeep

Theoretical attempt to predict the cross sections in the case of new superheavy elements

NUCLEAR REACTIONS 248Cm(54Cr, X), (54Cr, n), (54Cr, 2n), (54Cr, 3n), (54Cr, 4n), 245Cm(48Ca, X), (48Ca, n), (48Ca, 2n), (48Ca, 3n), (48Ca, 4n), 249Cf(48Ca, X), (48Ca, n), (48Ca, 2n), (48Ca, 3n), (48Ca, 4n), E(cm)=33, 193.561 MeV; calculated σ, survival probability for 297Og, 293Lv compound nucleus. Dynamical cluster-decay model (DCM) calculations. Comparison to available experimental data.

doi: 10.1103/PhysRevC.106.L031601
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2022NI05      Physics of Part.and Nuclei 53, 441 (2022)

Niyti, A.Deep, R.Kharab, R.Singh, S.Chopra

Study of Decay Properties of 260Sg* Nucleus Formed in 52Cr + 208Pb Reaction by Using GSkI Skyrme Force

NUCLEAR REACTIONS 208Pb(52Cr, X)260Sg, E=13.3, 18.6 MeV; analyzed available data; deduced σ using the Dynamical Cluster-decay Model (DCM).

doi: 10.1134/S1063779622020642
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2021CH28      Phys.Rev. C 103, 064615 (2021)

S.Chopra, M.K.Sharma, P.O.Hess, Hemdeep, NeetuMaan

Impact of noncoplanar degrees of freedom on quasifission contributions with the estimation of unobserved decay channels for the study of 196Pt* using the dynamical cluster-decay model

NUCLEAR REACTIONS 132Sn(64Ni, X)196Pt*, E(cm)=165.5, 167.2, 171, 175.2, 183.7, 195.2 MeV; calculated l-dependent scattering potential for 195Pt+1n in the decay of 196Pt* for 167.2 MeV, evaporation residues (ERs) and fusion-fission cross sections, mass fragmentation potential and preformation probability at 195.2 MeV using dynamical cluster-decay model (DCM). Comparison with available experimental data.

doi: 10.1103/PhysRevC.103.064615
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2020DE33      Phys.Rev. C 102, 034607 (2020)

A.Deep, Niyti, R.Kharab, R.Singh, S.Chopra

Examining the entrance channel effects on the synthesis of the double deformed nucleus 270Hs: A theoretical study using the dynamical cluster-decay model including Skyrme forces

NUCLEAR REACTIONS 26Mg(248Cm, xn)274Hs*,36S(238U, xn)274Hs*,48Ca(226Ra, xn)274Hs*, E*=40-51 MeV; calculated fusion evaporation residue cross sections for 3n-, 4n- and 5n-channels, mass fragmentation potentials, preformation yields, excitation function of individual 3n- to 5n-evaporation channels, best-fitted neck-length parameter using dynamical cluster-decay model (DCM), with Skyrme energy density functionals. Comparison with experimental data. Relevance to super-heavy nuclei.

doi: 10.1103/PhysRevC.102.034607
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2019CH48      Int.J.Mod.Phys. E28, 1950068 (2019)

S.Chopra, H.Kaur, A.Kundra

Study on the compound nucleus fusion probability PCN in 12C +93Nb reaction at above barrier energies using different degrees-of-freedom

NUCLEAR REACTIONS 93Nb(12C, X)105Ag, E(cm)<70 MeV; calculated σ, compound nucleus fusion probability.

doi: 10.1142/S021830131950068X
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2019DE31      Int.J.Mod.Phys. E28, 1950079 (2019)

A.Deep, Niyti, R.Kharab, R.Singh, S.Chopra

Skyrme forces and isotopic dependence of evaporation residue cross-section in the decay of 252, 254-256No* formed in 204, 206, 207, 208Pb 48Ca reactions

NUCLEAR REACTIONS 204,206,207,208Pb(48Ca, X)252,254,255,256No, E=20-45 MeV; analyzed available data; calculated preformation yields and probabilities, σ.

RADIOACTIVITY 252,254,255,256No(n), (2n), (3n), (4n); analyzed available data; deduced fusion evaporation residue σ for he decay of compound nuclei using the Skyrme energy density functional (SEDF)-based on semi-classical extended Thomas Fermi (ETF) approach under frozen density approximation.

doi: 10.1142/S0218301319500794
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2018CH53      Phys.Rev. C 98, 041603 (2018)

S.Chopra, Hemdeep, P.Kaushal, R.K.Gupta

Signatures of higher-multipole deformations and non-coplanarity as essential, additional degrees-of-freedom in heavy-ion reactions

NUCLEAR REACTIONS 64Ni(132Sn, X)196Pt*, E*=55-90 MeV; 93Nb(12C, X)105Ag*, E*=40-60 MeV; 100Mo(64Ni, X)164Yb*, E*=25-70 MeV; 235U(11B, X)246Bk*, E*=47.5-72.5 MeV; 172Yb(48Ca, X)220Th*, E*=35-45 MeV; 154Gd(48Ca, X)202Po*, E*=41-54 MeV; 180Hf(40Ar, X)220Th*, E*=36-46 MeV; 138Ba(82Se, X)220Th*, E*=35-45 MeV; 232Th(14N, X)246Bk*, E*=43-61 MeV; calculated compound and non-compound nucleus σ(E) for three deformations β2, β3 and β4 and non-coplanarity using dynamical cluster-decay model. Comparison with experimental values; deduced that higher-multipole deformations together with non-coplanar configurations are important for analysis of a compound nucleus fusion reaction.

doi: 10.1103/PhysRevC.98.041603
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2018HE10      Phys.Rev. C 97, 044623 (2018)

Hemdeep, S.Chopra, A.Kaur, P.Kaushal, R.K.Gupta

Role of higher-multipole deformations and noncoplanarity in the decay of the compound nucleus 220Th* within the dynamical cluster-decay model

NUCLEAR REACTIONS 180Hf(40Ar, X)220Th*, E=35.637.41.37, 46.73 MeV; 172Yb(48Ca, X)220Th*, E=35.4, 39.9, 46.2 MeV; 138Ba(82Se, X)220Th*, E=34.47, 39.47, 44.47 MeV; 204Pb(16O, X)220Th*, E=39-46.75 MeV; calculated fragmentation potential V(A), preformation yields, σ for 1n to 5n decay channels, and best-fitted neck-length parameter of compound nucleus (CN) 220Th; deduced role of octupole (β3) and hexadecupole (β4) deformations with corresponding compact orientations for both coplanar and noncoplanar configurations in decay of 220Th compound nucleus. Dynamical cluster-decay model (DCM) based on the quantum mechanical fragmentation theory (QMFT). Comparison with experimental values.

doi: 10.1103/PhysRevC.97.044623
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2018KA28      Phys.Rev. C 98, 014602 (2018)

P.Kaushal, A.Kaur, Hemdeep, S.Chopra, R.K.Gupta

48Ca-induced reaction on the lanthanide target 154Gd and its decay to ground and metastable states within the dynamical cluster-decay model

NUCLEAR REACTIONS 154Gd(48Ca, xn)202Po*, E*=41.03-53.61 MeV; calculated scattering and fragmentation potentials, preformation and penetration probabilities, σ(E) for 1n to 5n channels, and for evaporation residues. 197m,198,199mPo; investigated decay of 202Po compound nucleus to 198Po g.s. and to 197,199Po metastable states by neutron evaporation channels. Quantum mechanical fragmentation theory (QMFT) based dynamical cluster-decay model (DCM). Comparison with available experimental data, and with other theoretical predictions.

doi: 10.1103/PhysRevC.98.014602
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2018NI10      Acta Phys.Pol. B49, 639 (2018)

Niyti, R.Singh, A.Deep, R.Kharab, S.Chopra, R.K.Gupta

Dynamical Cluster-decay Model Based on Skyrme Force KDE0(v1) and the Dynamics of208, 206, 204Pb+48Ca → 256, 254, 252No* Reaction

NUCLEAR REACTIONS 204,206,208Pb(48Ca, xn)252,254,256No, E*=19.6-43.6 MeV; calculated channel cross section σxn for fixed x (x=1-4, but most of calculations done for 2n emission) vs E*; compared with available published data; calculated "optimum hot" fusion reactions σ using Dynamical Cluster-decay Model (DCM) with pocket formula for the proximity potential; deduced that they reproduce data well with neck-length parameter fitted.

doi: 10.5506/aphyspolb.49.639
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2017CH21      Phys.Rev. C 95, 044603 (2017)

S.Chopra, Hemdeep, R.K.Gupta

Synthesis of the Z=122 superheavy nucleus via 58Fe- and 64Ni-induced reactions using the dynamical cluster-decay model

NUCLEAR REACTIONS 248Cm(58Fe, xn)306122*, E*=25-68 MeV; 242Pu(64Ni, xn)306122*, E*=25-68 MeV; calculated σ(E*) for 1n-, 2n-, 3n- and 4n-channels, evaporation residue (ER) σ, compound nucleus formation probability, fragmentation potentials, preformation probabilities as function of fragment mass in hot fusion reactions. Dynamical cluster-decay model based on dynamical or quantum mechanical fragmentation theory (QMFT), and two-center shell model (TCSM).

doi: 10.1103/PhysRevC.95.044603
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2017HE03      Phys.Rev. C 95, 014609 (2017)

Hemdeep, S.Chopra, A.Kaur, R.K.Gupta

Formation and decay of the compound nucleus 220Th* within the dynamical cluster-decay model

NUCLEAR REACTIONS 172Yb(48Ca, X)220Th*, 204Pb(16O, X)220Th*, 194Pt(26Mg, X)220Th*, 180Hf(40Ar, X)220Th*, 138Ba(82Se, X)220Th*, 134Xe(86Kr, X)220Th*, 124Sn(96Zr, X)220Th, E*=39.9, 25-50 MeV; calculated scattering and mass-fragmentation potentials, preformation yields for hot-fusion reactions, evaporation residue, and 1n- to 5n-decay channel cross sections, penetrability versus angular momentum. Dynamical cluster-decay model (DCM) based on quantum-mechanical fragmentation theory (QMFT). Comparison with available experimental data.

doi: 10.1103/PhysRevC.95.014609
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2017NI04      Phys.Rev. C 95, 034602 (2017)

Niyti, A.Deep, R.Kharab, S.Chopra, R.K.Gupta

Skyrme forces and decay of the266104Rf* nucleus synthesized via different incoming channels

NUCLEAR REACTIONS 248Cm(18O, X)266Rf*, E=88.2-101.3 MeV; 244Pu(22Ne, X)266Rf*, E=109.0-124.8 MeV; calculated mass fragmentation potentials, preformation yields. 248Cm(18O, 4n), (18O, 5n), (18O, 6n), 244Pu(22Ne, 4n), 244Pu(22Ne, 5n)244Pu(22Ne, 6n), E=80-130 MeV; calculated σ(E), neck-length parameters, preformation and penetration probabilities. 258Md(8Li, X), 254Es(12B, X), 242Pu(22Ne, X), 218Po(48Ca, X), 212Pb(54Ti, X), 205Au(61Mn, X), 242Pu(22Ne, X), 195Os(71Ni, X), 192W(74Zn, X), 182Yb(84Se, X), 157Nd(109Ru, X), 132Te(134Te, X), E=94.8 MeV; calculated evaporation residue σ for 4n-, 5n-, and 6n-decay channels of compound nucleus 266Rf in the dynamical cluster-decay model (DCM). Skyrme energy density functional (SEDF) based on semiclassical extended Thomas Fermi (ETF) approach, and using SIII, SIV, new GSkI and KDE0(v1) forces.

doi: 10.1103/PhysRevC.95.034602
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2016CH07      Phys.Rev. C 93, 024603 (2016)

S.Chopra, Hemdeep, A.Kaur, R.K.Gupta

Non-coplanar compact configurations of nuclei and non-compound-nucleus contribution in the fusion cross section of the 12C + 93Nb reaction

NUCLEAR REACTIONS 93Nb(12C, X)105Ag*, E(cm)=41.097, 47.828, 54.205 MeV; calculated fragmentation potential as function of fragment mass number, preformation probability and penetrability probability as function of angular momentum, σ(E) for evaporation residue (ER) and summed intermediate mass fragments (IMFs) from A=5-13, fusion σ(CN and nCN) for compound and non-compound nuclei; deduced large non-compound-nucleus (nCN) contribution in the measured fusion cross section. Dynamical cluster-decay model (DCM) with various nuclear interaction potentials. Comparison with experimental data.

doi: 10.1103/PhysRevC.93.024603
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2016CH15      Phys.Rev. C 93, 044604 (2016)

S.Chopra, A.Kaur, Hemdeep, R.K.Gupta

Product PCNPsurv or the "reduced" evaporation residue cross section σERfusion for "hot" fusion reactions studied with the dynamical cluster-decay model

NUCLEAR REACTIONS 93Nb(12C, X)105Ag*, E(*)=40.95-54.06 MeV; 92Mo(32S, X)124Ce*, E(*)=46.5 MeV;100Mo(64Ni, X)164Yb*, E(*)=30.6-66.5 MeV; 112Sn(64Ni, X)176Pt*, E(*)=22.92-61.42 MeV; 118Sn(64Ni, X)182Pt*, E(*)=33.215-70.465 MeV; 124Sn(64Ni, X)188Pt*, E(*)=44.337-77.487 MeV; 64Ni(132Sn, X)196Pt*, E(*)=54.498-84.2 MeV; 154Sm(48Ca, X)202Pb*, E(*)=44.5-65.3 MeV; 194Pt(19F, X)213Fr*, E(*)=47.397-61.059 MeV; 204Pb(11B, X)215Fr*, E(*)=31.21-43.48 MeV; 197Au(18O, X)215Fr*, E(*)=39.10-56.57 MeV; 198Pt(19F, X)217Fr*, E(*)=43.479-69.650 MeV; 232Th(14N, X)246Bk*, E(*)=43-60.9 MeV; 235U(11B, X)246Bk*, E(*)=34.3-55.9 MeV; 243Am(11B, X)254Fm*, E(*)=42.34-53.822 MeV; 238U(48Ca, X)286Cn*, E(*)=33.1-40.78 MeV; 244Pu(48Ca, X)292Fl*, E(*)=35.51-36.73 MeV; calculated product of fusion probability and survival probability in compound nucleus (CN), σ(ER)/σ(fusion) as function of CN excitation energy. Dynamical cluster-decay model (DCM) for hot fusion reactions using Blocki et al. pocket formula for nuclear proximity potential and the SEDF with SIII and GSkI forces.

doi: 10.1103/PhysRevC.93.044604
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2015CH06      Phys.Rev. C 91, 014602 (2015)

S.Chopra, A.Kaur, R.K.Gupta

Noncompound nucleus decay contribution in the 12C + 93Nb reaction using various formulations of nuclear proximity potential

NUCLEAR REACTIONS 93Nb(12C, X)105Ag*, E(cm)=41.097, 47.828, 54.205, 60.05 MeV; calculated fusion σ(E), angular momentum as function of beam energy, mass fragmentation potential as function of fragment mass, penetration and preformation probability as function of angular momentum, fusion evaporation residue σ. Dynamical cluster-decay model (DCM) and extended-Wong model using Skyrme energy density functionals (SEDFs) SIII, SIV, SSk, GSkI, and KDE0(v1). Comparison with experimental data.

doi: 10.1103/PhysRevC.91.014602
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2015CH16      Phys.Rev. C 91, 034613 (2015)

S.Chopra, A.Kaur, R.K.Gupta

Determination of the compound nucleus survival probability Psurv for various "hot" fusion reactions based on the dynamical cluster-decay model

NUCLEAR REACTIONS 93Nb(12C, X)105Ag, E=40.95-54.06 MeV; 92Mo(32S, X)124Ce, E=46.5 MeV; 100Mo(64Ni, X)164Yb, E=30.6-66.5 MeV; 112Sn(64Ni, X)176Pt, E=22.92, 61.42 MeV; 118Sn(64Ni, X)182Pt, E=33.21, 70.46 MeV; 124Sn(64Ni, X)188Pt, E=44.34, 77.49 MeV; 64Ni(132Sn, X)196Pt, E=54.50, 84.2 MeV; 154Sm(48Ca, X)202Pb, E=44.5-65.3 MeV; 194Pt(19F, X)213Fr, E=47.40, 61.06 MeV; 197Au(18O, X)215Fr, E=39.10, 56.57 MeV;204Pb(11B, X)215Fr, E=31.21, 43.48 MeV; 198Pt(19F, X)217Fr, E=43.48, 69.65 MeV; 232U(14N, X)246Bk, E=43, 60.9 MeV; 235U(11B, X)246Bk, E=34.3, 55.9 MeV; 238U(48Ca, X)286Cn, E=33.1, 40.78 MeV; 48Ca(244Pu, X)292Fl, E=35.51, 36.73 MeV; calculated survival probability as function of excitation energy of the compound nucleus, evaporation residue and fusion-fission σ(E). Dynamical cluster-decay model (DCM). Comparison with available cross section data.

doi: 10.1103/PhysRevC.91.034613
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2015KA21      Phys.Rev. C 91, 064601 (2015)

A.Kaur, S.Chopra, R.K.Gupta

α versus non-α cluster decays of the excited compound nucleus 124Ce* using various formulations of the nuclear proximity potential

NUCLEAR REACTIONS 92Mo(32S, X)124Ce*, E(cm)=111.29 MeV; calculated lmax, neck-length parameters, mass fragmentation potential, interaction potential for 116Xe+8Be decay channel of 124Ce, relative σ for evaporation residues of 2p, 3p, 4,5Li, 6,7,8,9Be and 10,11,12,13C, pre-formation probability, l-summed fragment preformation probability, penetrability and fusion σ as function of fragment mass; deduced comparison of σ for α decay and non-α decay channels of decay of compound nucleus 124Ce. Dynamical cluster-decay model (DCM) extended to interaction potentials SII, SIII, SIV, SKa, SkM, and SLy4, GSkI and KDE0(v1) from Skyrme energy density functional (SEDF). Comparison with experimental data, and with other theoretical calculations.

doi: 10.1103/PhysRevC.91.064601
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2014KA09      Phys.Rev. C 89, 034602 (2014)

A.Kaur, S.Chopra, R.K.Gupta

α-cluster versus non-α-cluster decay of the excited compounds nucleus 124Ce using the dynamical cluster-decay model

NUCLEAR REACTIONS 92Mo(32S, X)124Ce*, E=140, 150 MeV; calculated mass and charge fragmentation potentials, σ(channel)/σ(120Cs), quasifusion σ, σ as function of decay channel, angular momentum, charge and mass fragmentation potential, neck-length parameter, l-summed fragment preformation probability, and penetrability, decay σ as function of light fragment mass number, effects of α-cluster and non-α-cluster decay of compound nucleus 124Ce. Dynamical cluster-decay model (DCM) with effects up to hexadecapole deformation. Comparison with experimental data.

doi: 10.1103/PhysRevC.89.034602
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2014KA16      Acta Phys.Pol. B45, 349 (2014)

A.Kaur, S.Chopra, R.K.Gupta

Relative Population of 6Be and 8Be Clusters in the Decay of Excited Compound Nucleus 124Ce* Using the Dynamical Cluster-decay Model

RADIOACTIVITY 124Ce(SF); calculated mass fragment distribution. Dynamical cluster model, PACE4 calculations.

doi: 10.5506/APhysPolB.45.349
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2014KA41      Phys.Rev. C 90, 024619 (2014)

A.Kaur, S.Chopra, R.K.Gupta

Compound nucleus formation probability PCN determined within the dynamical cluster-decay model for various "hot" fusion reactions

NUCLEAR REACTIONS 100Mo(64Ni, X)164Yb*, E(cm)=122.9-158.8 MeV; 154Sm(48Ca, X)202Pb*, E(cm)=135.5-156.8 MeV; 93Nb(12C, X)105Ag*, E(cm)=41.09-54.21 MeV; 92Mo(32S, X)124Ce*, E(cm)=111.3 MeV; 238U(48Ca, X)286Cn*, E(cm)=187.1-201.3 MeV; 48Ca(244Pu, X)292Fl*, E(cm)=190.8-200.2 MeV; 232U(14N, X)246Bk*, E(cm)=68.5-86.4 MeV; 235U(11B, X)246Bk*, E(cm)=49-70.6 MeV; 112Sn(64Ni, X)176Pt*, E(cm)=149.75-188.25 MeV; 118Sn(64Ni, X)182Pt*, E(cm)=155.8-193.05 MeV; 124Sn(64Ni, X)188Pt*, E(cm)=161.85-195.84 MeV; 64Ni(132Sn, X)196Pt*, E(cm)=165.5-195.2 MeV; calculated fusion and formation probability as function of excitation energy of the compound nucleus and target-projectile charge numbers product, variation of fusion probability with fissility parameter. Dynamical cluster-decay model (DCM) for hot fusion reactions.

doi: 10.1103/PhysRevC.90.024619
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2013CH34      Phys.Rev. C 88, 014615 (2013)

S.Chopra, M.Bansal, M.K.Sharma, R.K.Gupta

One-neutron and noncompound-nucleus decay contributions in the 12C + 93Nb reaction at energies near and below the fusion barrier

NUCLEAR REACTIONS 93Nb(12C, X)105Ag*, E(cm)=41.1, 47.8, 54.2 MeV; calculated fusion evaporation residue (ER) σ, ER+intermediate mass fragments (IMF) σ, quasi-fission cross sections, l-summed fragment preformation probability. 93Nb(12C, X)105Ag*, E(cm)=40-56 MeV; calculated excitation functions, fusion-fission σ. Dynamical cluster-decay model (DCM) with deformation. Comparison with experimental data.

doi: 10.1103/PhysRevC.88.014615
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2012BA43      Phys.Rev. C 86, 034604 (2012)

M.Bansal, S.Chopra, R.K.Gupta, R.Kumar, M.K.Sharma

Dynamical cluster-decay model using various formulations of a proximity potential for compact non-coplanar nuclei: Application to the 64Ni + 100Mo reaction

NUCLEAR REACTIONS 100Mo(64Ni, X)164Yb(*), E(cm)=119.5-158.8 MeV; calculated 1n to 4n evaporation σ(E) as function of angular momentum, fusion-evaporation and fusion-fission σ(E), fragment potentials for charge-favored fragments, fragment preformation probability, neck length parameter as function of incident energy. Dynamical cluster-decay model (DCM). Comparison with experimental data, and with CASCADE calculations.

doi: 10.1103/PhysRevC.86.034604
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