TY - JOUR
T1 - Comment on "lattice determination of Σ- Λ mixing"
AU - Gal, A.
N1 - Publisher Copyright:
© 2015 American Physical Society.
PY - 2015/7/15
Y1 - 2015/7/15
N2 - A recent lattice QCD (LQCD) calculation of Σ-Λ mixing by the QCDSF-UKQCD Collaboration [Phys. Rev. D 91, 074512 (2015)] finds a mixing angle about half of that found from the Dalitz-Von Hippel (DvH) flavor SU(3) mass formula which relates the Σ-Λ mixing matrix element to known octet baryon mass differences and which has been used widely to evaluate charge symmetry breaking effects in Λ hypernuclei. We show that the LQCD-calculated Σ-Λ mixing matrix element and octet baryon masses satisfy the DvH mass formula, concluding thereby that a good LQCD evaluation of Σ-Λ mixing requires an equally good reproduction of octet baryon mass differences which is yet to be demonstrated.
AB - A recent lattice QCD (LQCD) calculation of Σ-Λ mixing by the QCDSF-UKQCD Collaboration [Phys. Rev. D 91, 074512 (2015)] finds a mixing angle about half of that found from the Dalitz-Von Hippel (DvH) flavor SU(3) mass formula which relates the Σ-Λ mixing matrix element to known octet baryon mass differences and which has been used widely to evaluate charge symmetry breaking effects in Λ hypernuclei. We show that the LQCD-calculated Σ-Λ mixing matrix element and octet baryon masses satisfy the DvH mass formula, concluding thereby that a good LQCD evaluation of Σ-Λ mixing requires an equally good reproduction of octet baryon mass differences which is yet to be demonstrated.
UR - http://www.scopus.com/inward/record.url?scp=84939171685&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.92.018501
DO - 10.1103/PhysRevD.92.018501
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AN - SCOPUS:84939171685
SN - 1550-7998
VL - 92
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 1
M1 - 018501
ER -