Abstract
We study the short distance part of the intrinsic three-nucleon interaction in a constituent quark model with color-spin interaction. For that purpose we first calculate the transformation coefficient between the tribaryon configuration and their corresponding three baryon basis. Using a formula for the intrinsic three-body interaction in terms of a tribaryon configuration, we find that after subtracting the corresponding two-baryon contributions, the intrinsic three-body interaction vanishes in flavor SU(3) symmetric limit for all quantum numbers for the three nucleon states. We further find that the intrinsic three-body interaction also vanishes for flavor-spin type of quark interaction.
Highlights
The short-distance part of the baryon-baryon interaction is intricately related to the properties of dense nuclear matter.Historically, the approaches describing the baryon-baryon interaction evolved with our understanding of strong interaction.They range from the early nuclear potential models, such as the Paris potential [1] or the Bonn potential [2], quark cluster model [3,4], and modern field theoretical approach based on chiral Lagrangians [5,6,7,8], to the recent direct calculation of nuclear force from lattice QCD (LQCD) [9,10]
[20], we have found that by taking such a limit one is able to reproduce the lattice result for baryon-baryon potential at short distance in the SU(3) symmetric limit and as well as the lattice result at almost physical quark mass, which is not so different from the SU(3) symmetric limit
By studying the compact tribaryon configurations in flavor SU(3) symmetric limit and subtracting out the contributions from the two-baryon interactions, we found that the intrinsic three-baryon interaction at short distance vanishes for all quantum numbers
Summary
The short-distance part of the baryon-baryon interaction is intricately related to the properties of dense nuclear matter. One way to explain the mass of the recently observed neutron stars [18,19] that are larger than previous expectations is to introduce repulsive three-body interactions including hyperons in dense nuclear matter Such forces will delay the appearance of hyperons to higher densities, preventing the equation of state from becoming too soft. In both flavor SU(3) symmetric and nonsymmetric cases These results suggest that the Pauli principle and color-spin interaction are key inputs responsible for the baryon-baryon interaction at short distance. V, we show the results for the transformation coefficients between the tribaryon configurations and their thee-baryon basis Using these coefficients, we calculate the intrinsic three-body interaction energy.
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.
