Benchmark for a quasi-bound state of the \overset_Kpp system

2015/08/30 by Roman Ya. Kezerashvili, Shalva M. Tsiklauri, Kezerashvili, Roman Ya. +10
Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.48550/arxiv.1508.07638

14 pages, 3 figures

openalex publication_date 2015/08/30 · arxiv created 2016/02/18 · arxiv updated 2016/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present three-body nonrelativistic calculations within the framework of a potential model for the kaonic cluster K^-pp using two completely different methods: the method of hyperspherical harmonics in the momentum representation and the method of Faddeev equations in configuration space. To perform a numerical benchmark, different NN and antikaon-nucleon interactions are applied. The results of the calculations for the ground state energy for the K^-pp system obtained by both methods are in reasonable agreement. Although the ground state energy is not sensitive to the NN interaction, it shows very strong dependence on the \overset_KN potential. We show that the dominant clustering of the K^-pp system in the configuration Λ(1405)+p allows us to calculate the binding energy to good accuracy within a simple cluster approach for the differential Faddeev equations. The theoretical discrepancies in the binding energy and width for the K^-pp system related to the different NN and \overset_KN interactions are addressed.

Related

• Fine-tuning of the quasi-bound K^- pp state
• Lightest Kaonic Nuclear Clusters
• Fine-tuning of the KNN and KKN quasi-bound state calculations
• Phenomenological model of the Kaonic Nuclear Cluster K^-pp in the ground state
• Four-body Faddeev-type equations for \KNNN quasi-bound state\n calculations