Radiative transitions and the P wave levels in charmonium

Henriques, Alfredo B.; Kellett, B.H.; Moorhouse, R. G.

doi:10.1016/0370-2693(76)90364-6

Cited by 198 publications

(47 citation statements)

References 24 publications

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“…Moreover, as has been known for more than ten years, the data on charmonia require an inverted spin-orbit matrix element from Thomas precession in the confining potential to cancel part of the strength of the OGE matrix element [2]. If the charm quark were sufficiently massive, its low-lying spectrum would be rigorously dominated by one gluon exchange, and one indeed observes that the Υ system is closer to this ideal.…”

Section: Introductionmentioning

confidence: 99%

Mesonlike baryons and the spin-orbit puzzle

Isgur¹

2000

Phys. Rev. D

104

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I describe a special class of meson-like Λ Q excited states and present evidence supporting the similarity of their spin-independent spectra to those of mesons. I then examine spin-dependent forces in these baryons, showing that predicted effects of spin-orbit forces are small for them for the same reason they are small for the analogous mesons: a fortuitous cancellation between large spin-orbit forces due to one-gluon-exchange and equally large inverted spin-orbit forces due to Thomas precession in the confining potential. In addition to eliminating the baryon spin-orbit puzzle in these states, this solution provides a new perspective on spin-orbit forces in all baryons.

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Section: Introductionmentioning

confidence: 99%

Mesonlike baryons and the spin-orbit puzzle

Isgur¹

2000

Phys. Rev. D

104

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“…The interplay of a scalar confining potential and the Coulomb vectorial potential can be used to reproduce the experimental values of R. With only the scalar term, R takes a value of 2; but the addition of the Coulomb term brings R down to a value lower than 0.8 [8,9]. In our case, because we also have a scalar term, we expect a similar thing to happen.…”

Section: Numerical Solution Of the Bound State Equations And Discmentioning

confidence: 59%

“…It has been argued in the literature that the dominant part of the quark-antiquark confining kernel must be either a Lorentz-vector or -scalar [8]. A purely vector kernel does not reproduce the experimentally obtained spin-orbit splitting of the 3 P J quarkonium triplet, which is one of the reasons why scalar confinement has been introduced [9]. However, since a purely scalar kernel is not consistent with chiral symmetry, it will be necessary to include also pseudoscalar and tensor terms.…”

Section: Introductionmentioning

confidence: 97%

Chiral symmetry and spin dependence of the quark-antiquark forces in quarkonium

Villate¹,

Liu

Ribeiro³

et al. 1993

Phys. Rev. D

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Within the ladder approximation, the general form of the quark-antiquark interaction kernel, consistent with chiral symmetry, is investigated through the combined use of Ward identities for the axial and vector currents. In the charm and bottom sectors we show that chiral symmetry still plays an important role, through the functional form of the quark-antiquark forces. To maintain the chiral symmetry the scalar, pseudoscalar and tensor terms of the local interaction kernel must appear in a combination consistent with the equation Ks = Kp = −3Kt. Within the validity domain of the ladder approximation, this result is independent of the quark current masses. While the vector and axial parts, Kv and Ka, are not constrained by chiral symmetry, they are needed in order to implement spontaneous chiral-symmetry breaking, since the above terms alone would not do. In addition to the usual spin-spin, spin-orbit and tensor interactions, the existence of a Lorentz-tensor term in the kernel gives rise to a second tensor force which does not appear in previous studies of mesonic spectroscopy.

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“…Результаты этих работ показывают, что учет связи с конти-нуумом важен для семейства чармония. Так, для сдвигов уровней полу-чено: AM (JAp) = -48 МэВ, AM (г|/) = -118 МэВ и AM (XJ ) = -90МэВ; для фотонных переходов Г Е 1 (г|/ -н>-% 0 ) = 43,2 кэВ; Гщ (я| )' -н>-Xi) = 34 кэВ; Г Е1 (г| / -> % 2 ) = 23 кэВ, в то время как без учета связи с континуумом имеем соответственно Г Е 1 (я| / ->• %j ) = (50,45,29) кэВ. Отметим, что учет эффектов континуума сближает теоретические значения с эксперименталь-ными данными и приводит к различным сдвигам уровней чармония.…”

Section: непотенциальные эффектыunclassified

“…Теперь, для того чтобы изучать спектроскопию кваркониев, остается описать взаимо-действие кварка и антикварка (задать ядро G или, что эквивалентно, потен-циал взаимодействия-V (г)). Впервые уравнение (49) с опущенным вторым -слагаемым (что оправдано при \Е -Е а -• Е ъ \ <С I Е + Е а + Е ь |) было применено к изучению спектроскопии чармония в работе 45 . Авторы 4б исполь-зовали потенциал вида…”

Section: 26unclassified

Potential models of quarkonium

Bykov¹,

Dremin²,

Leonidov³

1984

Usp. Fiz. Nauk

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*) Как говорят, для них нарушено правило ОЦИ (Окубо -Цвейга -Иизуки) В-распада идут по каналам, запрещенным этим правилом. **} Напомним, что, например, система ее называется системой со скрытым арома-том, а си --с открытым ароматом.

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Radiative transitions and the P wave levels in charmonium

Cited by 198 publications

References 24 publications

Mesonlike baryons and the spin-orbit puzzle

Mesonlike baryons and the spin-orbit puzzle

Chiral symmetry and spin dependence of the quark-antiquark forces in quarkonium

Potential models of quarkonium

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