Chiral Symmetry and Meson Loop Model for Non-Leptonic K and D Weak Decays

Karlsen, R. E.; Scadron, Michael D.

doi:10.1142/s0217732391000567

Cited by 13 publications

(26 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, pion PCAC consistency requires [36] < 2π|H for H w built up from V −A chiral currents (PC = parity conserving). Equating (2.21) to (2.22) gives a definition of chiral π and σ partners [33]: close to data at [1] (150.2 ± 0.8) MeV. For the small ρ 0 → e + e − and ω → e + e − decays, we use single-photon exchange to extract the g ρ and g ω couplings from data [1]:…”

Section: Chiral Transitions For Weak K S → 2π Decaysmentioning

confidence: 87%

REMARKS ON THE f₀(400–1200) SCALAR MESON AS THE DYNAMICALLY GENERATED CHIRAL PARTNER OF THE PION

Beveren

Kleefeld²,

Rupp³

et al. 2002

Mod. Phys. Lett. A

View full text Add to dashboard Cite

The quark-level linear σ model (LσM) is revisited, in particular concerning the identification of the f0(400–1200) (or σ(600)) scalar meson as the chiral partner of the pion. We demonstrate the predictive power of the LσM through the ππ and πNs-wave scattering lengths, as well as several electromagnetic, weak, and strong decays of pseudoscalar and vector mesons. The ease with which the data for these observables are reproduced in the LσM lends credit to the necessity to include the σ as a fundamental [Formula: see text] degree of freedom, to be contrasted with approaches like chiral perturbation theory or the confining NJL model of Shakin and Wang.

show abstract

Section: Chiral Transitions For Weak K S → 2π Decaysmentioning

confidence: 87%

REMARKS ON THE f₀(400–1200) SCALAR MESON AS THE DYNAMICALLY GENERATED CHIRAL PARTNER OF THE PION

Beveren

Kleefeld²,

Rupp³

et al. 2002

Mod. Phys. Lett. A

View full text Add to dashboard Cite

show abstract

“…This amplitude, which has UV cutoff Λ ≈ 1.87 GeV near the observed D mass [12], is found via a Wick rotation to…”

mentioning

confidence: 82%

Consistently Computing the K → Π Long Distance Weak Transition

Lowe

Scadron

2002

Mod. Phys. Lett. A

View full text Add to dashboard Cite

First we extract the long-distance (LD) weak matrix elementand give compatible theoretical estimates. We also link this LD scale to the single-quark-line (SQL) transition scale β W and then test the latter SQL scale against the decuplet weak decay amplitude ratioFinally, we study LD K S → 2γ decay. All of these experimental and theoretical values for π | H W | K are in good agreement. We deduce an average value from eleven experimental determinations of π | H W | K = (3.59 ± 0.05) × 10 −8 GeV 2 , while the theoretical SQL values average to (3.577 ± 0.004) × 10 −8 GeV 2 .

show abstract

“…In short, CS-PCAC consistency is essentially a modelindependent scheme which explains the seven nonleptonic weak kaon decay rates with no new parameters and no dynamical assumptions except for the scale of the single reduced matrix element ( .rrO 1 H , can be computed from quark or meson loops [1, 7,8].) Alternatively, we give our K-2.rr predictions (11) and K -3a predictions (16) by listing the seven branching ratios in Table I.…”

Section: Discussionmentioning

confidence: 99%

“…Then computing the reduced matrix element ( n O H , KO) in both a quark loop model [1,7] and a meson loop model [8], we predict Not only does (7) predict from (6b) the ~~-2 7 7~ amplitude a, =25 X lo-' GeV, which is only 5% lower than the experimental result [9], but the scale (7) is likewise compatible with the IT' pole amplitude for KL -2y decay [1,10] and also needed in the chiral Lagrangian approach [l 11. The second important feature of Eqs.…”

Section: ( L a )mentioning

confidence: 99%

PCAC consistency. I. Kaon two- and three-body nonleptonic weak decays

Karlsen

Scadron

1992

Phys. Rev. D

View full text Add to dashboard Cite

We show that the current-algebra-PCAC (partial conservation of axial-vector current) procedure applied consistently to each final-state pion predicts seven K+2a and K -3 a decay amplitudes that very accurately reproduce the experimental results.PACS numbeds): 13.25. +m, 11.30.Rd, 11.40.Ha I. INTRODUCI'IONIn this paper (I), we use chiral-symmetry (CS) and partially conserved axial-vector current (PCAC) techniques[I], extended via "PCAC consistency ," to calculate the seven charge modes of K + 2 n , 3 n weak decays. In the following paper (II), we will apply similar PCAC consistency methods to 16 two-and three-body charmedmeson weak decay modes. Previously, we briefly sketched the phenomenological application of these current-algebra-PCAC ideas not only to the kaon sector, but also to the charmed-meson and baryon sector [2], for two-body nonleptonic weak decays. Here we go into considerably more detail concerning PCAC consistency and also extend the analysis of kaon two-body decays to three-body decays.We will use the CS-PCAC reduction in Sec. I1 to relate the K +aa amplitudes to one-body K +a reduced matrix elements, which can be calculated from meson or quark loop graphs. We also include the small effects of final-state interactions in our analysis. In Sec. I11 the analogous CS-PCAC reduction will be employed to connect the K-3a amplitudes to the K + 2 a transitions that were determined in Sec. 11. The result of this study is that the PCAC consistency predictions for the seven K + 2~, 3 a decay amplitudes are consistently in good agreement with the data. We summarize our results in Sec. IV and verify PCAC consistency for K!, in the Appendix.Many of the first attempts at explaining the K +2n, 3 a decays, using PCAC and current-algebra ideas, utilized energy-dependent parametrizations of the amplitudes [3]. By constraining the parameters through PCAC, various ratios of physical observables were predicted. A slightly different approach was used in Ref.[4] to reduce the number of parameters in Ref. [3]. In these studies tadpole graphs were employed to systematically account for the rapid variation of momenta in K + 2 n , 3 a decays. There were still unknown parameters in the latter approach, but these were further reduced by overall momentum conservation [1,5]. Still, these rapidly varying pole schemes for two-body decays are difficult to generalize to three-body decays.In order to avoid such pole complications, in this paper we use PCAC consistency to circumvent the rapidly varying pole terms altogether. We will predict all seven K + 2a, 3 a decay amplitudes, including appropriate A1 =+,+ parts, with no free parameters and without explicit calculation of the pole terms.T o begin, we write the decay amplitude in the form M =Mp +M, where M p is the rapidly varying pole contribution and M is the background term that varies slowly with momentum. The amplitude M is found by letting one of the pions go soft, which results in the amplitude having the on-shell form M =Mcc+Mp-Mp(0) . ( l a )The charge commutator amplitude Mc...

show abstract

Chiral Symmetry and Meson Loop Model for Non-Leptonic K and D Weak Decays

Abstract: We show that K→ππ and charmed [Formula: see text] decays can be understood using chiral symmetry and a meson loop model to simulate first order weak decays driven by the heavy-W vector boson.

Cited by 13 publications

References 0 publications

REMARKS ON THE f₀(400–1200) SCALAR MESON AS THE DYNAMICALLY GENERATED CHIRAL PARTNER OF THE PION

REMARKS ON THE f₀(400–1200) SCALAR MESON AS THE DYNAMICALLY GENERATED CHIRAL PARTNER OF THE PION

Consistently Computing the K → Π Long Distance Weak Transition

PCAC consistency. I. Kaon two- and three-body nonleptonic weak decays

Contact Info

Product

Resources

About

Chiral Symmetry and Meson Loop Model for Non-Leptonic K and D Weak Decays

Abstract: We show that K→ππ and charmed [Formula: see text] decays can be understood using chiral symmetry and a meson loop model to simulate first order weak decays driven by the heavy-W vector boson.

Cited by 13 publications

References 0 publications

REMARKS ON THE f0(400–1200) SCALAR MESON AS THE DYNAMICALLY GENERATED CHIRAL PARTNER OF THE PION

REMARKS ON THE f0(400–1200) SCALAR MESON AS THE DYNAMICALLY GENERATED CHIRAL PARTNER OF THE PION

Consistently Computing the K → Π Long Distance Weak Transition

PCAC consistency. I. Kaon two- and three-body nonleptonic weak decays

Contact Info

Product

Resources

About

REMARKS ON THE f₀(400–1200) SCALAR MESON AS THE DYNAMICALLY GENERATED CHIRAL PARTNER OF THE PION

REMARKS ON THE f₀(400–1200) SCALAR MESON AS THE DYNAMICALLY GENERATED CHIRAL PARTNER OF THE PION