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Variational calculations forK¯–few-nucleon systems

2008/08/25 by S. Wycech, A. M. Green · 3 citations
Physics and Astronomy · #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.79.014001

published as Phys.Rev.C79:014001,2009 · 19 pages, 1 figure

arxiv created 2008/08/25 · openalex publication_date 2009/01/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Deeply bound KNN, KNNN, and KNNNN states are discussed. The effective force exerted by the K meson on the nucleons is calculated with static nucleons. Next the binding energies are obtained by solving the Schr"odinger equation or by variational calculations. The dominant attraction comes from the S-wave \ensuremathΛ(1405) and an additional contribution is due to \ensuremathΣ(1385). The latter state is formed at the nuclear peripheries and absorbs a sizable piece of the binding energy. It also generates new branches of quasibound states. The lowest binding energies based on a phenomenological KN input fall into the 40- to 80-MeV range for KNN, 90--150 MeV for KNNN, and 120--220 MeV for K\ensuremathα systems. The uncertainties are due to unknown KN interactions in the distant subthreshold energy region.

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