Examination of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>ϕ</mml:mi><mml:mtext>−</mml:mtext><mml:mi>N</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:math> bound-state problem with lattice QCD <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>N</mml:mi><mml:mtext>−</mml:mtext><mml:mi>ϕ</mml:mi></mml:mrow></mml:math> potentials

Abstract

The developed Faddeev three-body equations are solved to search for bound-state solutions of a phi-meson $(\ensuremath{\phi})$ and two-nucleon $(NN)$ system. We employed the newly published spin $3/2 N\text{\ensuremath{-}}\ensuremath{\phi}$ potential based on $(2+1)$-flavor lattice QCD simulations near the physical point and the realistic $NN$ Malfliet-Tjon (MT) potential. Our numerical calculations for the $(I){J}^{\ensuremath{\pi}}=(0){2}^{\ensuremath{-}}\phantom{\rule{4pt}{0ex}}\ensuremath{\phi}\text{\ensuremath{-}}d$ system in maximum spin lead to a ground state binding energy of about 7 MeV and a matter radius of about 8 fm. Our results indicate the possibility of the formation of new nuclear clusters.

Topics & Concepts