On heavy baryon decay form factors

Hussain, Faheem; Körner, Jürgen; Krämer, M.; Thompson, George A.

doi:10.1007/bf01475799

Cited by 114 publications

(111 citation statements)

References 14 publications

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“…This, however, is a typical feature for emergent symmetries. The heavy quark symmetry is only applicable to states containing a heavy quark [1][2][3][4][5][6], and the light quark spin-flavor symmetry in the large N c limit is only relevant for baryonic states [9][10][11][12][13]. While the symmetries of the QCD Lagrangian is applicable to all states in the QCD Hilbert space, emergent symmetries are not symmetries of the QCD Lagrangian and may be applicable only to particular subspaces.…”

Section: Review and Discussionmentioning

confidence: 99%

“…6) where the second equality is from Poincare invariance. 5 Note that the P j /H is well defined as H commutes with P j .…”

Section: Kinematics and The Kinetic Energymentioning

confidence: 99%

“…A famous example of such emergent symmetries is the heavy quark symmetry [1][2][3][4][5][6] for heavy hadron states containing a single heavy quark with mass m Q ≫ Λ QCD . Heavy quark spin symmetry ensures that states related by a heavy quark spin flip, like (B, B * ) and (Σ b , Σ * b ), are degenerate.…”

Section: Introductionmentioning

confidence: 99%

“…Such absolute normalizations of form factors have profound implications in experimental determination of the CKM matrix element V cb . The combined heavy quark spin-flavor symmetry is described by the symmetry group SU(2n Q ) where n Q is the number of heavy flavors, and this symmetry is broken by corrections proportional to powers of Λ QCD /m Q [1][2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

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Excited heavy baryons and their symmetries I: Formalism

Chow

Cohen

2001

Nuclear Physics A

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This is the first of two papers to study a new emergent symmetry which connects orbitally excited heavy baryons to the ground states in the combined heavy quark and large Nc limit. The existence of this symmetry is shown in a model-independent way, and different possible realizations of the symmetry are discussed. It is also proved that this emergent symmetry commutes with the large Nc spin-flavor symmetry.

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Section: Review and Discussionmentioning

confidence: 99%

“…6) where the second equality is from Poincare invariance. 5 Note that the P j /H is well defined as H commutes with P j .…”

Section: Kinematics and The Kinetic Energymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Excited heavy baryons and their symmetries I: Formalism

Chow

Cohen

2001

Nuclear Physics A

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“…In the heavy quark limit the heavy quark spin-flavor decouples from the dynamics and hadronic spectrum exhibits an approximate heavy quark spin-flavor symmetry. Heavy quark effective theory (HQET) is a consistent framework to study the 1/m Q corrections to the heavy quark limit [1][2][3][4][5][6]. Another useful limit is the large N c limit where the number of colors N c of the QCD gauge group is taken to be large [7,8].…”

mentioning

confidence: 99%

Model-independent predictions for low energy isoscalar heavy baryon observables in the combined heavy quark and large Nc expansion

et al. 2001

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Model-independent predictions for excitation energies, semileptonic form factors and electromagnetic decay rates of isoscalar heavy baryons and their low energy excited states are discussed in terms of the combined heavy quark and large Nc expansion. At leading order, the observables are completely determined in terms of the known excitation energy of the first excited state of Λc. At next-to-leading order in the combined expansion all heavy baryon observables can be expressed in a model-independent way in terms of two experimentally measurable quantities. We list predictions at leading and next-to-leading order.A number of nonperturbative expansions have been used to study low-energy hadronic observables. The heavy quark expansion has been very successful in describing hadrons containing one heavy quark. In the heavy quark limit the heavy quark spin-flavor decouples from the dynamics and hadronic spectrum exhibits an approximate heavy quark spin-flavor symmetry. Heavy quark effective theory (HQET) is a consistent framework to study the 1/m Q corrections to the heavy quark limit [1][2][3][4][5][6]. Another useful limit is the large N c limit where the number of colors N c of the QCD gauge group is taken to be large [7,8]. In the large N c limit the baryon sector of QCD exhibits an approximate light quark spin-flavor symmetry; eg. as N c goes to infinity the nucleon and ∆ become degenerate [9-13]. For heavy baryons, i.e. baryons containing one (c or b) heavy quark it is useful to consider a double limit and a combined heavy quark and large N c expansion [14]. In Ref. [15][16][17] isoscalar heavy baryons have been considered near the combined limit.The combined heavy quark and large N c expansion is formulated in terms of the counting parameter λ ∼ Λ had /m Q , 1/N c with Λ had N c /m Q arbitrary (here Λ had is a typical hadronic scale). As λ approaches zero, the heavy baryon spectrum exhibits an approximate dynamical symmetry-a contracted O(8) symmetry-which connects orbitally excited states of the heavy baryons to the ground state [14,15]. An effective theory describing low-energy excitations of heavy baryons can be developed using the counting rules consistent with a contracted O(8) symmetry [16]. The purpose of the present paper is to use the formalism of Ref.[17] to derive model-independent relations among observables characterizing isoscalar heavy baryons and their decays. At present, experimental data is available only for the excitation energies of the doublet of the first excited state of Λ c . At leading order in the combined expansion this energy completely determines the excitation energy of the low-energy orbitally excited state of Λ b as well as the dominant semileptonic form factors and electromagnetic decay rates. Such predictions are necessarily rather crude as our expansion is in powers of λ 1/2 . At next-to-leading order an additional observable is required to make further model independent predictions. As data for more heavy baryon observables (such as the excitation energy of Λ b baryon, semil...

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Heavy quark symmetry at large recoil: the case of baryons

Körner

Kroll

1993

Z. Phys. C - Particles and Fields

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On heavy baryon decay form factors

Cited by 114 publications

References 14 publications

Excited heavy baryons and their symmetries I: Formalism

Excited heavy baryons and their symmetries I: Formalism

Model-independent predictions for low energy isoscalar heavy baryon observables in the combined heavy quark and large Nc expansion

Heavy quark symmetry at large recoil: the case of baryons

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