Observation of the "K- pp"-like structure in the d( +, K+) reaction at 1.69 GeV/c

We evaluate the mass polarization term of the kinetic-energy operator for different three-body nuclear AAB systems by employing the method of Faddeev equations in configuration space. For a three-boson system this term is determined by the difference of the doubled binding energy of the AB subsystem 2E 2 and the three-body binding energy E 3 (V AA = 0) when the interaction between the identical particles is omitted. In this case: |E 3 (V AA = 0)| > 2 |E 2 |. In the case of a system complicated by isospins(spins), such as the kaonic clusters K − K − p and ppK − , the similar evaluation is impossible. For these systems it is found thatA model with an AB potential averaged over spin(isospin) variables transforms the later case to the first one. The mass polarization effect calculated within this model is essential for the kaonic clusters. Besides we have obtained the relation |E 3 | ≤ |2E 2 | for the binding energy of the kaonic clusters.Keywords Mesic nuclei · Mass polarization · Faddeev equation · Nucleon-kaon interactions 1 IntroductionThe mass polarization effect of the kinetic-energy operator is well known in atomic physics [1,2]. The kinetic energy operator in the Schrödinger equation for an Nelectron atomic system with a finite nuclear mass M in the centre-of-mass coordinate system is comprised of two parts: the kinetic energy term related to the introduction of the reduced mass and the mass polarization term (MPT) −h 2 M i

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Section: Comparison Of Mass Polarization Effect For Several Aab Systemsmentioning

confidence: 93%

On Mass Polarization Effect in Three-Body Nuclear Systems

et al. 2018

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“…Similar results have been obtained within similar phenomenological models [3,4] taking into account the πΣ coupling directly. This value is much smaller than the experimentally motivated value of about 100 MeV for the ppK − deeply bound state [5][6][7]. The second model proposed for the NK interaction (see HW potential in Ref.…”

Section: Introductionmentioning

confidence: 73%

Effect of isospin averaging for $ppK^-$ kaonic cluster

Vlahović

Filikhin

2020

SciPost Phys. Proc.

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The kaonic cluster ppK^-ppK− is described by isospin-dependent N{\bar K}NK‾ potentials with significant difference between singlet and triplet components. The quasi-bound state energy of the system is calculated based on the configuration space Faddeev equations within isospin and averaged potential models. The isospin averaging of N{\bar K}NK‾ potentials is used to simplify the isospin model to isospinless one. We show that three-body bound state energy E_{3}E3 has a lower bound within the isospin formalism due to relation \left\vert E_{3}(V_{NN}=0)\right\vert<2\left\vert E_{2}\right\vert|E3(VNN=0)|<2|E2|, where E_{2}E2 is the binding energy of isospin singlet state of the N{\bar K}NK‾ subsystem. The averaged potential model demonstrates opposite relation between |E_{2}||E2| and |E_{3}(V_{NN}=0)||E3(VNN=0)|.

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“…MeV with a width of 162±87(stat.)±66(syst.) MeV, when two protons are detected coincidentally [18]. On the other hand, the HADES collaboration at GSI reported no evidence of theKNN bound state using the same reaction as DISTO, pp collision at T p = 3.5 GeV [19].…”

Section: +2mentioning

confidence: 95%