MESON2016 – Concluding Remarks

Gal, A.

doi:10.1051/epjconf/201613001030

Cited by 11 publications

(4 citation statements)

References 72 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The quasi-bound states in the kaonic cluster N NK(s N N = 0) defined by the spin s N N of nucleon pair are intensively debated during the last years. The theoretical predictions for the binding energy are in significant disagreement with the values derived from existing experimental data [1]. The properties of the kaonic cluster are defined by NK interaction, having significant difference for the isospin singlet and triplet channels.…”

Section: Introductionmentioning

confidence: 55%

See 1 more Smart Citation

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

Vlahović

Filikhin

2020

SciPost Phys. Proc.

View full text Add to dashboard Cite

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)|.

show abstract

Section: Introductionmentioning

confidence: 55%

“…Discussion about the experimental background and theoretical interpretations can be found in Ref. [1,9].…”

Section: Introductionmentioning

confidence: 99%

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

Vlahović

Filikhin

2020

SciPost Phys. Proc.

View full text Add to dashboard Cite

show abstract

“…The quasi-bound states in the kaonic cluster N NK(s N N = 0) are intensively debated during the last years. The theoretical predictions for the binding energy are in significant disagreement with the values derived from existing experimental data [1]. The properties of the kaonic cluster are defined by NK interaction, having significant difference for the isospin singlet and triplet channels.…”

Section: Introductionmentioning

confidence: 55%

“…Discussion about the experimental background and theoretical interpretations can be found in Ref. [1,7].…”

Section: Introductionmentioning

confidence: 99%

Report on scipost_201910_00030v1

2020

View full text Add to dashboard Cite

The kaonic cluster ppK − is described by isospin-dependent NK potentials with significant difference between singlet and triplet components. The quasibound state energy of the system is calculated based on the configuration space Faddeev equations within isospin and averaged potential models. The isospin averaging of NK potentials is used to simplify the isospin model to isospinless one. We show that three-body bound state energy E 3 has a lower bound within the isospin formalism due to relation |E 3 (V N N = 0)| < 2 |E 2 |, where E 2 is the binding energy of isospin singlet state of the NK subsystem. The averaged potential model demonstrates opposite relation between |E 2 | and |E 3 (V N N = 0)|.

show abstract

On Mass Polarization Effect in Three-Body Nuclear Systems

et al. 2018

View full text Add to dashboard Cite

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

show abstract

MESON2016 – Concluding Remarks

Abstract: Abstract. Several topics presented and discussed at MESON2016 are highlighted, including pentaquarks, dibaryons and meson-nuclear bound states.

Cited by 11 publications

References 72 publications

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

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

Report on scipost_201910_00030v1

On Mass Polarization Effect in Three-Body Nuclear Systems

Contact Info

Product

Resources

About