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Description for <i>N</i> = 126 Isotones <sup>210</sup>Po and <sup>212</sup>Rn with Particle-Hole Excited Nucleon-Pair Approximation and Realistic Effective Interaction
oleh: Yi-Xing Wang, Yi-Yuan Cheng, Thomas T. S. Kuo
Format: | Article |
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Diterbitkan: | MDPI AG 2022-01-01 |
Deskripsi
In this paper, we study yrast states of two <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>126</mn></mrow></semantics></math></inline-formula> isotones <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>210</mn></msup></semantics></math></inline-formula>Po and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>212</mn></msup></semantics></math></inline-formula>Rn using the nucleon-pair approximation with particle–hole excitations and using a low-momentum interaction <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>V</mi><mrow><mi>low</mi><mo>–</mo><mi>k</mi></mrow></msub></semantics></math></inline-formula> renormalized from the free CD-Bonn <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mi>N</mi></mrow></semantics></math></inline-formula> potential. An overall good agreement with experimental level structures, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>B</mi><mo>(</mo><mi>E</mi><mn>2</mn><mo>)</mo></mrow></semantics></math></inline-formula>s, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>B</mi><mo>(</mo><mi>E</mi><mn>3</mn><mo>)</mo></mrow></semantics></math></inline-formula>s, is achieved. We also calculate the probabilities of neutron particle–hole excitations in these yrast states, with a focus on negative-parity states, which reflect the roles played by the neutron negative-parity configurations of one-particle-one-hole excitations across the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>126</mn></mrow></semantics></math></inline-formula> shell gap and the negative-parity configurations of valence proton particles involving the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><msub><mi>i</mi><mrow><mn>13</mn><mo>/</mo><mn>2</mn></mrow></msub></mrow></semantics></math></inline-formula> orbit. The <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>126</mn></mrow></semantics></math></inline-formula> shell gap is discussed in terms of energies of neutron one-particle-one-hole excitations.