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The σK coupling in the chiral unitary approach and the isoscalar ¯N , ¯A interaction

  • Regular Article - Theoretical Physics
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Abstract.

We evaluate the “σ " exchange contribution to the ¯N → ¯N scattering within a chiral unitary approach. We show that the chiral transition potentials for ππ → K¯ in the t -channel lead to a “σ " contribution that vanishes in the ¯ forward direction and, hence, would produce a null “σ " exchange contribution to the K- optical potential in nuclear matter in a simple impulse approximation. This is a consequence of the fact that the leading-order chiral Lagrangian gives an I = 0 ππ → K¯ amplitude proportional to the squared momentum transfer, q2. This finding poses questions on the meaning or the origin of “σ " exchange potentials used in relativistic mean-field approaches to the K- nuclear self-energy. This elementary “σ ” exchange potential in ¯N → ¯N is compared to the Weinberg-Tomozawa term and is found to be smaller than the present theoretical uncertainties but will be relevant in the future when aiming at fitting increasingly more accurate data.

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Authors and Affiliations

  1. Departamento de Fısica Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Aptdo. 22085, 46071, Valencia, Spain

    A. Martínez Torres, K. P. Khemchandani & E. Oset

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  1. A. Martínez Torres
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  2. K. P. Khemchandani
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  3. E. Oset
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Martínez Torres, A., Khemchandani, K.P. & Oset, E. The σK coupling in the chiral unitary approach and the isoscalar ¯N , ¯A interaction. Eur. Phys. J. A 36, 211–218 (2008). https://doi.org/10.1140/epja/i2007-10574-3

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