Abstract
We present our recent studies of Lambda-Nucleon (�N) as well as Cascade-Nucleon (�N) interac- tions by using lattice QCD. The equal-time Bethe-Salpeter (BS) amplitude of the lowest energy scattering state of baryon number B = 2 system (proton-� and proton-� 0 ) is calculated from lattice QCD. For the calculation of the �N potential, two different types of gauge configurations are employed: (i) 2 +1 flavor full QCD configurations generated by the PACS-CS collaboration at � = 1.9 (a = 0.0907(13) fm) on a 32 3 × 64 lattice, whose spatial vol- ume is (2.90 fm) 3 . (ii) Quenched QCD configurations at � = 5.7 (a = 0.1416(9) fm) on a 32 3 × 48 lattice, whose spatial volume is (4.5 fm) 3 . The spin-singlet central potential is calculated from the BS wave function for the spin J = 0 state, whereas the spin-triplet central potential as well as the tensor potential are deduced simultaneously from the BS wave function for the spin J = 1 state by dividing it into the S -wave and the D-wave components. For the calculation of theN potential, we employ quenched QCD configurations, at � = 5.7 (a = 0.1416(9) fm) on a 32 3 × 32 lattice, whose spatial volume is (4.5 fm) 3 . The effective central potential in the spin triplet channel as well as the central potential in the spin singlet channel are calculated for theN. The scattering lengths are obtained from the asymptotic behavior of the BS wave function by using the Luscher's formula.
Highlights
Study of hyperon-nucleon (YN) and hyperon-hyperon (YY)interactions is one of the keys to explore strange nuclear systems such as hypernuclei and hyperonic matter inside neutron stars
We show the central potential multiplied by volume factor (4πr2 VC(r)) in the left panel in addition to the normal V(r) given in the right panel, in order to compare the strength of the repulsive force between two quark masses
For ΞN interaction, we focus on the isovector (I = 1) channel, which has no strong decay mode into other B′1B′2 systems. (Note that, on the other hand, NΞ in the isoscalar (I = 0) channel is above the ΛΛ threshold.) As is seen in Table 1, the baryon masses calculated from the lattice quantum chromodynamics (QCD) are consistent with the experimentally observed ordering of the two-baryon threshold in the strangeness S = −2 sector; Eth(ΛΛ) < Eth(NΞ) < Eth(ΛΣ) < Eth(ΣΣ)
Summary
Interactions is one of the keys to explore strange nuclear systems such as hypernuclei and hyperonic matter inside neutron stars. Hyperons (or strange quarks) would play a characteristic role in normal nuclear systems as “impurities” [1]. He and suggests that the ΛN interaction in These results is useful to study the composition of hyperonic matter inside the neutron stars [5]: the Λ particle instead of Σ− would be the first strange baryon to appear in the core of the neutron stars. The ΞN interaction is interesting and important, in order to explore the existence of Under these circumstances, it should be desirable theoretically to understand the YN and YY interaction (or, in more general, baryon-baryon interaction) based on the dynamics of quarks and gluons as fundamental degrees of freedom. If one can perform such an appropriate deduction along the theory of quantum chromodynamics (QCD), they should have a reliable prediction regarding the YN and YY potentials
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
