<p>Within the framework of the dinuclear system (DNS) model by implementing the cluster transfer into the dissipation process, we systematically investigated the energy spectra and the angular distribution of the pre-equilibrium clusters (n, p, d, t, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(^{3}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>3</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>He, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\alpha\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(^{6,7}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mrow> <mn>6</mn> <mo>,</mo> <mn>7</mn> </mrow> </mmultiscripts> </math></EquationSource> </InlineEquation>Li, <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(^{8,9}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mrow> <mn>8</mn> <mo>,</mo> <mn>9</mn> </mrow> </mmultiscripts> </math></EquationSource> </InlineEquation>Be) in the massive transfer reactions of <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(^{12}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>12</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>C+<InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(^{209}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>209</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Bi, <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(^{14}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>14</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>N+<InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(^{159}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>159</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Tb, <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(^{14}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>14</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>N+<InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(^{169}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>169</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Tm, <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(^{14}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>14</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>N+<InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(^{181}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>181</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Ta, <InlineEquation ID="IEq13"> <EquationSource Format="TEX">\(^{14}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>14</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>N+<InlineEquation ID="IEq14"> <EquationSource Format="TEX">\(^{197}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>197</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Au, <InlineEquation ID="IEq15"> <EquationSource Format="TEX">\(^{14}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>14</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>N+<InlineEquation ID="IEq16"> <EquationSource Format="TEX">\(^{209}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>209</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Bi, <InlineEquation ID="IEq17"> <EquationSource Format="TEX">\(^{58,64,72}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mrow> <mn>58</mn> <mo>,</mo> <mn>64</mn> <mo>,</mo> <mn>72</mn> </mrow> </mmultiscripts> </math></EquationSource> </InlineEquation>Ni+<InlineEquation ID="IEq18"> <EquationSource Format="TEX">\(^{198}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>198</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Pt near the Coulomb barrier energies. It was found that the neutron emission is the most probable in comparison with the charged particles, and the <InlineEquation ID="IEq19"> <EquationSource Format="TEX">\(\alpha\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation> yields are comparable to the hydrogen isotopes in magnitude. Prequilibrium clusters are mainly produced from projectile-like and target-like fragments during the evolution of the dinuclear system. The kinetic energy spectra manifest a Boltzmann distribution, and the Coulomb potential influences the structure. The pre-equilibrium clusters follow the angular distribution of the multinucleon transfer fragments.</p>

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Dynamics of light nuclei produced in the massive transfer reactions

  • Zi-Han Wang,
  • Ya-Ling Zhang,
  • Zhao-Qing Feng

摘要

Within the framework of the dinuclear system (DNS) model by implementing the cluster transfer into the dissipation process, we systematically investigated the energy spectra and the angular distribution of the pre-equilibrium clusters (n, p, d, t, \(^{3}\) 3 He, \(\alpha\) α , \(^{6,7}\) 6 , 7 Li, \(^{8,9}\) 8 , 9 Be) in the massive transfer reactions of \(^{12}\) 12 C+ \(^{209}\) 209 Bi, \(^{14}\) 14 N+ \(^{159}\) 159 Tb, \(^{14}\) 14 N+ \(^{169}\) 169 Tm, \(^{14}\) 14 N+ \(^{181}\) 181 Ta, \(^{14}\) 14 N+ \(^{197}\) 197 Au, \(^{14}\) 14 N+ \(^{209}\) 209 Bi, \(^{58,64,72}\) 58 , 64 , 72 Ni+ \(^{198}\) 198 Pt near the Coulomb barrier energies. It was found that the neutron emission is the most probable in comparison with the charged particles, and the \(\alpha\) α yields are comparable to the hydrogen isotopes in magnitude. Prequilibrium clusters are mainly produced from projectile-like and target-like fragments during the evolution of the dinuclear system. The kinetic energy spectra manifest a Boltzmann distribution, and the Coulomb potential influences the structure. The pre-equilibrium clusters follow the angular distribution of the multinucleon transfer fragments.