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Coupling constant for Λ(1405)bar{K}N

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arxiv 1307.3707 v1 pith:PVN7SXKW submitted 2013-07-14 nucl-th hep-exhep-phnucl-ex

Coupling constant for Λ(1405)bar{K}N

classification nucl-th hep-exhep-phnucl-ex
keywords lambdachannelcalculationsvaluebackgroundconstantcontributionscoupling
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The value of the $\Lambda(1405){\bar K}N$ coupling constant $g_{\Lambda(1405)\bar{K}N}$ is obtained by fitting it to the experimental data on the total cross sections of the $K^-p \to \pi^0\Sigma^0$ reaction. On the basis of an effective Lagrangian approach and isobar model, we show that the value $|g_{\Lambda(1405)\bar{K}N}| = 1.51 \pm 0.10$ could be extracted from the available experimental data by assuming that the $s-$channel $\Lambda(1405)$ resonance plays a dominant role, whereas, the background contributions from the $s-$channel $\Lambda(1115)$, $t-$channel $K^*$ and $u-$channel nucleon pole processes are small and can be neglected. However, the $u-$channel nucleon pole diagram may also give an important contribution in the present calculations. After the background contributions are taken into account, the above value of $g_{\Lambda(1405)\bar{K}N}$ is reduced to $|g_{\Lambda(1405)\bar{K}N}| = 0.77 \pm 0.07$, which is not supported by the previous calculations and the recent CLAS measurements. The theoretical calculations on differential cross sections are also presented, which can be checked by future experiments.

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