Research Article

Investigating the K1(1270) – K1(1400) Mixing Angle via QCD Sum Rules

Volume: 6 Number: 1 June 8, 2022
EN

Investigating the K1(1270) – K1(1400) Mixing Angle via QCD Sum Rules

Abstract

In this work, we investigated the mixing between strange axial vector mesons K1(1270) and K1(1400) by using QCD Sum Rules approach. Since these states couple to the same interpolating currents, we defined them in terms of orbital angular momentum eigen states K1A and K1B. By using the axial vector and tensor interpolating currents which are almost purely coupling to K1A and K1B, and then employing the orthogonality of the physical states, we obtained an analytical expression for the K1 mixing angle. We performed a Monte Carlo based numerical analysis to estimate the value of the mixing angle.

Keywords

Thanks

H. Dağ thanks to A. Özpineci, G. Erkol and V. Zamiralov for fruitful discussions and their contributions at the very early stages of this work.

References

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  2. [2] Yang, C. N. and Mills, R. (1954). "Conservation of Isotopic Spin and Isotopic Gauge Invariance". Physical Review. 96 (1).
  3. [3] Glashow, S.L. (1961). "Partial-symmetries of weak interactions". Nuclear Physics 22 (4), 579–588.
  4. [4] Weinberg, S. (1967). "A Model of Leptons". Physical Review Letters 19 (21), 1264–1266.
  5. [5] Salam, A. (1968). Svartholm, N. (ed.). Elementary Particle Physics: Relativistic Groups and Analyticity. Eighth Nobel Symposium. Stockholm: Almquvist and Wiksell. p. 367.
  6. [6] Englert, F. and Brout, R. (1964). "Broken Symmetry and the Mass of Gauge Vector Mesons". Physical Review Letters. 13 (9), 321–323.
  7. [7] Higgs, P.W. (1964). "Broken Symmetries and the Masses of Gauge Bosons". Physical Review Letters. 13 (16), 508–509.
  8. [8] CMS collaboration (2012). "Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC". Physics Letters B 716 (1), 30–61. arXiv:1207.7235.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

June 8, 2022

Submission Date

October 18, 2021

Acceptance Date

January 25, 2022

Published in Issue

Year 2022 Volume: 6 Number: 1

APA
Dağ, H. (2022). Investigating the K1(1270) – K1(1400) Mixing Angle via QCD Sum Rules. Journal of Innovative Science and Engineering, 6(1), 94-107. https://doi.org/10.38088/jise.1011406
AMA
1.Dağ H. Investigating the K1(1270) – K1(1400) Mixing Angle via QCD Sum Rules. JISE. 2022;6(1):94-107. doi:10.38088/jise.1011406
Chicago
Dağ, Hüseyin. 2022. “Investigating the K1(1270) – K1(1400) Mixing Angle via QCD Sum Rules”. Journal of Innovative Science and Engineering 6 (1): 94-107. https://doi.org/10.38088/jise.1011406.
EndNote
Dağ H (June 1, 2022) Investigating the K1(1270) – K1(1400) Mixing Angle via QCD Sum Rules. Journal of Innovative Science and Engineering 6 1 94–107.
IEEE
[1]H. Dağ, “Investigating the K1(1270) – K1(1400) Mixing Angle via QCD Sum Rules”, JISE, vol. 6, no. 1, pp. 94–107, June 2022, doi: 10.38088/jise.1011406.
ISNAD
Dağ, Hüseyin. “Investigating the K1(1270) – K1(1400) Mixing Angle via QCD Sum Rules”. Journal of Innovative Science and Engineering 6/1 (June 1, 2022): 94-107. https://doi.org/10.38088/jise.1011406.
JAMA
1.Dağ H. Investigating the K1(1270) – K1(1400) Mixing Angle via QCD Sum Rules. JISE. 2022;6:94–107.
MLA
Dağ, Hüseyin. “Investigating the K1(1270) – K1(1400) Mixing Angle via QCD Sum Rules”. Journal of Innovative Science and Engineering, vol. 6, no. 1, June 2022, pp. 94-107, doi:10.38088/jise.1011406.
Vancouver
1.Hüseyin Dağ. Investigating the K1(1270) – K1(1400) Mixing Angle via QCD Sum Rules. JISE. 2022 Jun. 1;6(1):94-107. doi:10.38088/jise.1011406


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