Determination of compositeness of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>Λ</mml:mi><mml:mo>(</mml:mo><mml:mn>1405</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>resonance from its radiative decay

DOI DOI Web Site Web Site 被引用文献10件 参考文献58件

書誌事項

公開日
2014-02-18
資源種別
journal article
権利情報
  • http://link.aps.org/licenses/aps-default-license
DOI
  • 10.1103/physrevc.89.025202
  • 10.48550/arxiv.1311.4637
公開者
American Physical Society (APS)

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説明

The radiative decay of $��(1405)$ is investigated from the viewpoint of compositeness, which corresponds to the amount of two-body states composing resonances as well as bound states. For a $\bar{K}N (I=0)$ bound state without couplings to other channels, we establish a relation between the radiative decay width and the compositeness. Especially the radiative decay width of the bound state is proportional to the compositeness. Applying the formulation to $��(1405)$, we observe that the decay to $����$ is dominated by the $K^{-}p$ component inside $��(1405)$, because in this decay $��^{+} ��^{-}$ and $��^{-} ��^{+}$ strongly cancel each other and the $����$ component can contribute to the $����$ decay only through the slight isospin breaking. This means that the decay $��(1405) \to ����$ is suitable for the study of the $\bar{K} N$ component in $��(1405)$. Fixing the $��(1405)$-$����$ coupling constant from the usual decay of $��(1405) \to ����$, we show a relation between the absolute value of the $\bar{K} N$ compositeness for $��(1405)$ and the radiative decay width of $��(1405) \to ����$ and $��^{0} ��$, and we find that large decay width to $����$ implies large $\bar{K}N$ compositeness for $��(1405)$. By using the "experimental" data on the radiative decay widths, which is based on an isobar model fitting of the $K^{-}p$ atom data, we estimate the $\bar{K}N$ compositeness for $��(1405)$. We also discuss the pole position dependence of our relation on the $��(1405)$ radiative decay width and the effects of the two-pole structure for $��(1405)$.

13 pages, 7 figures; Added references; version accepted for publication in Phys. Rev. C

収録刊行物

  • Physical Review C

    Physical Review C 89 (2), 025202-, 2014-02-18

    American Physical Society (APS)

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