Possible<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>Σ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Λ</mml:mi></mml:math>mixing in the QCD sum rule

Considering two molecular state assumptions, i.e. S-wave Λ − K − and S-wave Σ0 − K − molecular states, we study the possible decays of NX (1625) that include NX (1625 1625), and the branching ratios of the rest decay modes are tiny; (2) if NX ( 1625) is Σ0 − K − molecular state, the branching ratio of NX (1625) → K − Λ is one or two order smaller than that of NX (1625) → π 0 p, η p, π − n. Thus the search for NX (1625) → π 0 p, η p, π − n will be helpful to shed light on the nature of NX (1625).

show abstract

“…Isospin violation effect can result in the mixing of Σ with Λ 0 [11]. Thus decayN X (1625) →Λ + K − occurs, which is depicted by Fig.…”

Section: Formulationmentioning

confidence: 99%

“…with the coupling constant θ = 0.5 ± 0.1 MeV obtained by QCD sum rule [11], one obtains the decay amplitude…”

Section: Formulationmentioning

confidence: 99%

What can we learn from the decay of NX(1625) in the molecule picture?

Liu

Zhang

2008

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…where Π 0 ij are the correlation functions corresponding to the unmixed states, i.e., 6) JHEP08 (2016)068 where (i, j = Λ 0 or Σ 0 ). So the problem of determination of the mixing angle requires the calculation of the theoretical part of the correlation function, for which the expressions of the interpolating currents are needed.…”

Section: Jhep08(2016)068mentioning

confidence: 99%

“…The mixing angle predicted by these models are, |α| = 1.4×10 −3 [5], |α| = 7.0×10 −3 [6], |α| = 1.5×10 −2 [1,2], |α| = 1.0 × 10 −2 [3] and [4], |α| = 7.0 × 10 −3 [8] (all results for the mixing angle are given in radians).…”

Section: Introductionmentioning

confidence: 99%

“…Long time ago, it is observed that the lowest lying hadrons Λ and Σ can be represented as the combination of the SU(3) octet, pure isospin I = 0 (Λ), and I = 1 (Σ 0 ) baryons in the following form [ The Σ-Λ mixing angle is estimated in the framework of different approaches such as, quark model [1][2][3], chiral perturbation theory [4], QCD sum rules in vacuum [5,6], QCD sum rules in isospin asymmetric medium [7], and in lattice QCD [8]. The mixing angle predicted by these models are, |α| = 1.4×10 −3 [5], |α| = 7.0×10 −3 [6], |α| = 1.5×10 −2 [1,2], |α| = 1.0 × 10 −2 [3] and [4], |α| = 7.0 × 10 −3 [8] (all results for the mixing angle are given in radians).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Determination of the Σ-Λ mixing angle from QCD sum rules

Aliev

Barakat

Savcı

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

The Σ-Λ mixing angle is calculated in framework of the QCD sum rules by using the general form of the interpolating current. We find that our prediction for the mixing angle is (1.15 ± 0.05) 0 . A comparison of our result with the predictions of the quark model, chiral perturbation theory, and lattice QCD approach, and also with the results of the QCD sum rules method existing in literature, is presented.

show abstract

In-medium Σ0–Λ mixing in QCD sum rules

2002

View full text Add to dashboard Cite

The Σ 0 − Λ mixing angle in isospin-asymmetric nuclear medium is investigated by using QCD sum rules. From the general consideration of the inmedium baryonic correlations, in-medium baryon mixings are shown to have several Lorentz structures such as the scalar mixing angle θ S and the vector mixing angle θ V . This causes a difference between the particle mixing θ (= θ S +θ V ) and the anti-particle mixing θ (= θ S − θ V ). From the finite energy sum rules for the Σ 0 − Λ mixing, we find that the in-medium part of the mixing angle has a relation θ S Med ∼ −θ V Med in the isospin-asymmetric medium. This implies that the medium affects mainly the anti-particle mixing. From the Borel sum rules, we obtain | θ − θ 0 | ≃ 0.39 |(ρ n − ρ p )|/ρ 0 with θ 0 , ρ n , ρ p and ρ 0 being the vacuum mixing angle, the neutron density, the proton density and the normal nuclear matter density respectively.

show abstract

PossibleΣ0-Λmixing in the QCD sum rule

Abstract: We calculate the on-shell ⌺ 0 -⌳ mixing parameter with the method of the QCD sum rule. Our result is (m ⌺ 0 2 )ϭ(Ϫ)(0.5Ϯ0.1) MeV. The electromagnetic interaction is not included. ͓S0556-2821͑98͒03103-8͔

Cited by 9 publications

References 21 publications

What can we learn from the decay of NX(1625) in the molecule picture?

What can we learn from the decay of NX(1625) in the molecule picture?

Determination of the Σ-Λ mixing angle from QCD sum rules

In-medium Σ0–Λ mixing in QCD sum rules

Contact Info

Product

Resources

About