Consistently Computing the K → Π Long Distance Weak Transition

Lowe, J.; Scadron, Michael D.

doi:10.1142/s0217732302008976

Cited by 6 publications

(4 citation statements)

References 25 publications

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“…The crucial FOW scale in Eq. ( 119) is compatible with the average of 11 different data sets [116], such as K → 2π, K → 3π, K S → 2γ, K L → 2γ, . .…”

Section: Su (3) Extension Of the Qllσmsupporting

confidence: 74%

The quark‐level linear σ model

Scadron

Rupp

Delbourgo

2013

Fortschritte der Physik

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This review of the quark‐level linear σ model (QLLσM) is based upon the dynamical realization of the pseudoscalar and scalar mesons as a linear representation of SU(2)× SU(2) chiral symmetry, with the symmetry weakly broken by current quark masses. In its simplest SU(2) incarnation, with two non‐strange quark flavors and three colors, this nonperturbative theory, which can be selfconsistently bootstrapped in loop order, is shown to accurately reproduce a host of low‐energy observables with only one parameter, namely the pion decay constant fπ. Extending the scheme to SU(3) by including the strange quark, equally good results are obtained for many strong, electromagnetic, and weak processes just with two extra constants, viz. fK and <π |Hweak|K>. Links are made with the vector‐meson‐dominance model, the BCS theory of superconductivity, and chiral‐symmetry restoration at high temperature. Finally, these ideas are cautiously generalized to the electroweak sector, including the W, Z, and Higgs bosons, and also to CP violation.

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“…The crucial FOW scale in Eq. ( 119) is compatible with the average of 11 different data sets [116], such as K → 2π, K → 3π, K S → 2γ, K L → 2γ, . .…”

Section: Su (3) Extension Of the Qllσmsupporting

confidence: 74%

The quark‐level linear σ model

Scadron

Rupp

Delbourgo

2013

Fortschritte der Physik

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“…Similar conclusions can be found in Refs. [22][23][24][25][26], where long-distance effects have been studied in more detail.…”

Section: The Neutral Kaon Systemmentioning

confidence: 99%

Continuum bound states K L , D 1(2420), D s1(2536), and their partners K S , D 1(2400), D * sJ (2463)

Beveren

Rupp²

2004

Eur. Phys. J. C

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The very recently observed D * sJ (2463) meson is described as a J P = 1 + cs bound state in a unitarised meson model, owing its existence to the strong OZI-allowed 3 P0 coupling to the nearby S-wave D * K threshold. By the same non-perturbative mechanism, the narrow axial-vector Ds1(2536) resonance shows up as a quasi-bound-state partner embedded in the D * K continuum. With the same model and parameters, it is also shown that the preliminary broad 1 + D1(2400) resonance and the established narrow 1 + D1(2420) may be similar cn partners, as a result of the strong OZI-allowed 3 P0 coupling to the nearby S-wave D * π threshold. The continuum bound states D1(2420) and Ds1( 2536) are found to be mixtures of 33% 3 P1 and 67% 1 P1, whereas their partners D1(2400) and D * sJ (2463) have more or less the opposite 2S+1 P1-state content, but additionally with some D * π or D * K admixture, respectively. The employed mechanism also reproduces the ratio of the KL-KS mass difference and the KS width, by describing KL as a bound state embedded in the ππ continuum. The model's results for J P = 1 + states containing one b quark are also discussed.

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“…In the numerical calculations below, we take the value of the weak matrix element π + | H W | K + from [11]:…”

Section: Introductionmentioning

confidence: 99%

Pion and kaon electromagnetic form factors

Bijnens

Talavera

2002

J. High Energy Phys.

180

220

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We use recent data on K + → π + e + e − , together with known values for the pion form factor, to derive the kaon electromagnetic form factor for 0 < q 2 < 0.125 (GeV/c) 2 . The results are then compared with predictions of the Linear σ Model, a quark-triangle model and Vector Meson Dominance. The first two models describe the data at least qualitatively, but the simple Vector Meson Dominance picture gives a detailed quantitative fit to the experimental results.

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Consistently Computing the K → Π Long Distance Weak Transition

Cited by 6 publications

References 25 publications

The quark‐level linear σ model

The quark‐level linear σ model

Continuum bound states K L , D 1(2420), D s1(2536), and their partners K S , D 1(2400), D * sJ (2463)

Pion and kaon electromagnetic form factors

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