arXiv:1304.6046·v2·High Energy Physics — Phenomenology

Mixing of the low-lying three- and five-quark $Ω$ states with negative parity

C. S. An🇨🇳 · B. Ch. Metsch🇩🇪 · B. S. Zou🇨🇳

Mixing of the low-1/2^{-} $an d$ 3/2^{-} $i s in v es t i g a t e d, e m pl oy in g anin s t an t o n - in d u ce d q u a r k - an t i q u a r k p ai r cr e a t i o nm o d e l, w hi c h p r ec l u d es t r an s i t i o n s b e tw ee n$ s^{3} $an d$ s^{4}\bar{s} $co n f i g u r a t i o n s . M o d e l s w i t hh y p er f in e in t er a c t i o n s b e tw ee n q u a r k so f t h r ee d i f f er e n t k in d s, nam e l y, o n e - g l u o n - e x c han g e, G o l d s t o n e - b oso n - e x c han g e (GB E) an d anin s t an t o n - in d u ce d in t er a c t i o n (I N S) a r ec a l l e d O GE, GB E an d I N S m o d e l s, r es p ec t i v e l y . N u m er i c a l r es u l t ss h o w t ha tt h e in s t an t o n - in d u ce d p ai r cr e a t i o n c a u sess t r o n g mi x in g b e tw ee n t h e t h r ee - an df i v e - q u a r k co n f i g u r a t i o n s w i t h s p in 3/2, an d t ha tt hi s mi x in g d ecr e a ses t h ee n er g y o f t h e l o w es t s p in 3/2 s t a t es ina l l t h r ee d i f f er e n t h y p er f in e in t er a c t i o nm o d e l s t o$ \sim 1750\pm50 $M e V . O n t h eo t h er han d, t r an s i t i o n co u pl in g s b e tw ee n$ s^3 $an d$ s^{3}q\bar{q} $s t a t es w i t h s p in 1/2 c a u se d b y in s t an t o n - in d u ce d$ q\bar{q} $cr e a t i o ni s v er y s ma l l an d t h er es u l t in g mi x in g o f t h r ee - an df i v e - q u a r k co n f i g u r a t i o n s in t h e O GE an d I N S m o d e l s i s n e g l i g ib l e, w hi l e t h e mi x in g o f t h es p in 1/2 s t a t es in GB E m o d e l i s n o t, b u t e f f ec t so f t hi s mi x in g o n e n er g i eso f mi x e d s t a t es a r e a l so v er y s ma l l . A ccor d in g l y, t h e l o w es t$ \Omega$ states with negative parity in all three hyperfine interactions models have spin 3/2.

Comments: Accepted for publication in Phys. Rev. C

Mixing of the low-lying three- and five-quark Ω states with negative parity

Abstract

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Mixing of the low-lying three- and five-quark $Ω$ states with negative parity

Citation historyopen in Citation History ↗