The Λ(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions

  • The Bethe-Salpeter equation is solved in the framework of the unitary coupled-channel approximation by using the pseudoscalar meson-baryon octet interaction. The loop function of the intermediate meson and baryon is deduced in a dimensional regularization scheme, where the relativistic kinetic effect and off-shell corrections are taken into account. Based on the experimental data at the K-p threshold, the subtraction constants in the loop function are determined. The squared amplitude is suppressed strongly and only one Λ(1405) state is generated dynamically in the strangeness S=-1 and isospin I=0 sector.
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Fang-Yong Dong, Bao-Xi Sun and Jing-Long Pang. The Λ(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions[J]. Chinese Physics C, 2017, 41(7): 074108. doi: 10.1088/1674-1137/41/7/074108
Fang-Yong Dong, Bao-Xi Sun and Jing-Long Pang. The Λ(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions[J]. Chinese Physics C, 2017, 41(7): 074108.  doi: 10.1088/1674-1137/41/7/074108 shu
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Received: 2016-11-14
Revised: 2017-04-03
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The Λ(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions

  • 1.  College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • 2. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • 3. Department of Physics, Peking University, Beijing 100871, China
  • 4.  Department of Physics, Peking University, Beijing 100871, China

Abstract: The Bethe-Salpeter equation is solved in the framework of the unitary coupled-channel approximation by using the pseudoscalar meson-baryon octet interaction. The loop function of the intermediate meson and baryon is deduced in a dimensional regularization scheme, where the relativistic kinetic effect and off-shell corrections are taken into account. Based on the experimental data at the K-p threshold, the subtraction constants in the loop function are determined. The squared amplitude is suppressed strongly and only one Λ(1405) state is generated dynamically in the strangeness S=-1 and isospin I=0 sector.

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