Searching Ground State Properties of some Light Proton-Rich Nuclei Using Whittaker Wave Functions
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Abstract<p>In this work, the Whittaker wave functions were used to study the nuclear density distributions and elastic electron scattering charge form factors for proton-rich nuclei and their corresponding stable nuclei (<sup>10,8</sup>B, <sup>13,9</sup>C, <sup>14,12</sup>N and <sup>19,17</sup>F). The parameters of Whittaker’s basis were fixed to generate the experimental values of available size radii. The Whittaker basis was connected to harmonic-oscillator basis through boundary condition at match point. The nuclear shell model was opted with pure configuration for all studied nuclei to compute aforementioned studied quantities except <sup>10</sup>B. For <sup>10</sup>B, the total spin is 3<sup>+</sup>, therefore, there is a C2 component in empirical Coulomb form factor in addition to C0 component. The theory of core-polarization was applied to account such C2 contribution using Tassie, Bohr-Mottelson and valence models. The contribution of model space to C2 component was computed using Cohen-Kurath interaction. For exotic <sup>8</sup>B, <sup>9</sup>C, <sup>12</sup>N and <sup>17</sup>F nuclei, the Whittaker’s basis was applied only to the last exotic valence proton, on contrary to stable <sup>10</sup>B, <sup>13</sup>C, <sup>14</sup>N and <sup>19</sup>F which the Whittaker’s basis was applied to both last stable valence proton and neutron . It was seen that such treatment highly improved the calculated quantities in comparison with empirical data.</p>
