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Improvement of the gross theory of $$beta$$ decay by inclusion of change in parity

パリティ変換を考慮した$$beta$$崩壊大局的理論の改良

小浦 寛之 ; 千葉 敏*

Koura, Hiroyuki; Chiba, Satoshi*

$$beta$$崩壊の巨視的模型計算である大局的理論の単一粒子構造における改良を行った。大局的理論は$$beta$$崩壊遷移の総和則を考慮して構築された模型で、$$beta$$崩壊半減期や遅発中性子放出確率を核図表における幅広い領域で計算し、実験結果をよく再現できる。今回、この大局的理論に単一粒子状態におけるパリティに注目し、崩壊前と崩壊後に原子核基底状態のパリティが変化する場合に$$beta$$崩壊許容遷移を抑制する効果を新たに導入した。単一粒子状態の推定はわれわれが従来から考案しているWoods-Saxonポテンシャル計算を用いた。今回の改良により、これまでの大局的理論では2重閉殻原子核付近で過小評価していた$$beta$$崩壊半減期が系統的に改良された。

An improvement on the single-particle structure is carried out to a global $$beta$$-decay model, the gross theory. The gross theory is based on a consideration of the sum rule of the intensity of the $$beta$$-decay transition by using the strength function. This model gives reasonable results of $$beta$$-decay rates and delayed neutron in the entire nuclear mass region. An attempt is made to improve the gross theory of nuclear $$beta$$-decay on consideration of the change of parity on the single-particle level of ground-state nuclei. In this treatment, the nuclear matrix elements are suppressed when the parity between single neutron and proton levels is different for the allowed transition. The assignment of parity is done by using the Woods-Saxon type single-particle potential. The discrepancies from experimental half-lives, which appeared in the vicinity on the magic number of neutrons and protons, are systematically improved in the nuclear mass region.

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パーセンタイル:30.79

分野:Physics, Nuclear

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