Low-energy scattering and effective interactions of two baryons at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>π</mml:mi></mml:mrow></mml:msub><mml:mo>∼</mml:mo><mml:mn>450</mml:mn><mml:mtext> </mml:mtext><mml:mtext> </mml:mtext><mml:mi>MeV</mml:mi></mml:mrow></mml:math> from lattice quantum chromodynamics
نویسندگان
چکیده
The interactions between two octet baryons are studied at low energies using lattice quantum chromodynamics (LQCD) with larger-than-physical quark masses corresponding to a pion mass of ${m}_{\ensuremath{\pi}}\ensuremath{\sim}450\text{ }\text{ }\mathrm{MeV}$ and kaon ${m}_{K}\ensuremath{\sim}596\text{ }\mathrm{MeV}$. two-baryon systems that analyzed range from strangeness $S=0$ $S=\ensuremath{-}4$ include the spin-singlet triplet $NN$, $\mathrm{\ensuremath{\Sigma}}N$ ($I=3/2$), $\mathrm{\ensuremath{\Xi}}\mathrm{\ensuremath{\Xi}}$ states, $\mathrm{\ensuremath{\Sigma}}\mathrm{\ensuremath{\Sigma}}$ ($I=2$) $\mathrm{\ensuremath{\Xi}}\mathrm{\ensuremath{\Sigma}}$ ($I=3/2$) spin-triplet $\mathrm{\ensuremath{\Xi}}N$ ($I=0$) state. $s$-wave scattering phase shifts, low-energy parameters, binding when applicable extracted L\"uscher's formalism. While results consistent most being bound this mass, in channels found be repulsive do not support states. Using previous studies these larger an extrapolation physical point is performed compared available experimental values phenomenological predictions. coefficients pionless effective field theory (EFT) relevant for interactions, including those responsible $SU(3)$ flavor-symmetry breaking, constrained. flavor symmetry observed hold approximately chosen masses, as well $SU(6)$ spin-flavor symmetry, predicted large ${N}_{c}$. A remnant accidental $SU(16)$ previously further observed. $SU(6)$-symmetric EFT constrained by LQCD calculations used make predictions which parameters could determined directly study, constrain all leading flavor-symmetric demonstrating predictive power EFTs matched LQCD.
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ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevd.103.054508