Decay Widths of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>φ</mml:mi></mml:math>Meson from Algebra of Currents

Akiba, Tomoya; Kang, Kyungsik

doi:10.1103/physrev.160.1283

Cited by 4 publications

(1 citation statement)

References 31 publications

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“…We assume that the masses of the axial-vector mesons as well as the relation j p 2 -m p 2 /2F v 2 are given, say, from experiments and try to calculate the ratios of the decay constants of the pseudoscalar mesons from (14). For this purpose, it is convenient to introduce a small parameter e and an angle \p which is very close to \ir by e=(mE 2 -mD 2 )/(ntE 2 +M D 2 ) and tan^=(^0/^s) 1/2 .…”

Section: W"r(o> -> In-)=%tn+v( -> In-)=jw P R( P -»In-) (13)mentioning

confidence: 99%

Spectral-Function Sum Rules with Symmetry Breaking

Akiba

Kang

1968

Phys. Rev.

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The symmetry breaking based on Okubo's ansatz is considered to modify Weinberg's spectral-function sum rules (particularly the second). We then apply the modified sum rules to the chiral U(3)XU(3) and obtain physically interesting results for the mass relation and mixing angles of the vector mesons, a nonet assignment of the axial-vector mesons, and the decay constants of the pseudoscalar mesons.S INCE Weinberg's successful derivation 1 of the mass relation between p and A i mesons from the spectralfunction sum rules of the chiral SU(2)®SU(2) symmetry, the sum-rule approach has been extended to the higher symmetries by several authors. 2 It has been recognized, however, for some time that 3,4 the first and the second sum rules of Weinberg together as applied to the higher symmetries give degenerate masses for the particles and that the original form of the second sum rule should be modified somehow by taking into account the symmetry-breaking effects.In the present paper, we modify the second sum rule by introducing a scheme of symmetry-breaking suggested by Okubo 5 and apply this modification together with the first sum rule for the chiral U(3)®U(3) symmetry to obtain some physically interesting results for the masses or the decay constants of mesons.We begin by defining the propagator functions '-/•

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Section: W"r(o> -> In-)=%tn+v( -> In-)=jw P R( P -»In-) (13)mentioning

confidence: 99%

Spectral-Function Sum Rules with Symmetry Breaking

Akiba

Kang

1968

Phys. Rev.

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Deviation fromSU 3 symmetry of VPP coupling constants in a field theory of vector mesons

Akiba

1968

Nuov Cim A

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KA,K, andφ
Fenster
¹
,
Hussain
²

1968
Phys. Rev.*
21
0
0
0
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The strong decays of KA, K*, and mesons are calculated using (a) Ward identities derived from equaltime commutation relations of chiral SU(3)(S)SU(S), (b) the notion of a partially conserved strangenesschanging axial-vector current, (c) dominance of spectral functions by gauge mesons, and (d) maximum smoothness of proper vertex functions. This method was originally introduced by Weinberg and Schnitzer for SU{2)0SU{2) and applied to Ai and p decays. We describe the co- system by the current-mixing model. The resonance contribution to the iT^-decay Dalitz plot is obtained. K*-^KW;KA-^PK; KA-^O)K, in terms of one free parameter (B of Schnitzer and Weinberg*) for each process. During the calculation, we set Fr=FK, and we repeatedly use Weinberg's first spectral-function sum rule^ for SU(3) and SU(3)XSU(3)^ and the KSRF relation.i'^ For the co-0 mixing, we use the current-mixing modeF which Sakurai and Oakes^ have shown to be the only one 5 S. Weinberg, Phys. Rev. Letters 18, 507 (1967). ^ S. L. Glashow, H.

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Decay Widths of theφMeson from Algebra of Currents

Cited by 4 publications

References 31 publications

Spectral-Function Sum Rules with Symmetry Breaking

Spectral-Function Sum Rules with Symmetry Breaking

Deviation fromSU 3 symmetry of VPP coupling constants in a field theory of vector mesons

KA,K, andφ
Fenster
¹
,
Hussain
²

1968
Phys. Rev.*
21
0
0
0
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Decay Widths of theφMeson from Algebra of Currents

Cited by 4 publications

References 31 publications

Spectral-Function Sum Rules with Symmetry Breaking

Spectral-Function Sum Rules with Symmetry Breaking

Deviation fromSU 3 symmetry of VPP coupling constants in a field theory of vector mesons

KA,K*, andφFenster1, Hussain2 1968Phys. Rev.21000View full textAdd to dashboardCite

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KA,K, andφ
Fenster
¹
,
Hussain
²

1968
Phys. Rev.*
21
0
0
0
View full text Add to dashboard Cite