Aspects of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>a</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow></math>-<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>f</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow></math> mixing in the reaction <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mrow><mover><mrow><mi>p</mi></mrow><mrow><mo>→</mo></mrow></mover></mrow></mrow><mrow><mrow><mover><mrow><mi>n</mi></mrow><mrow><mo>→</mo></mrow></mover></mrow></mrow><mrow><msub><mrow><mi>da</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow></math>

A. E. Kudryavtsev; V. E. Tarasov; J. Haidenbauer; C. Hanhart; J. Speth

doi:10.1103/PhysRevC.66.015207

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Aspects of $a_{0}$ - $f_{0}$ mixing in the reaction $\vec{p} \vec{n} {da}_{0}$

A. E. Kudryavtsev¹, V. E. Tarasov¹, J. Haidenbauer², C. Hanhart², and J. Speth²

¹Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya 25, RU-117259 Moscow, Russia
²Institut für Kernphysik, Forschungszentrum Jülich, D-52425 Jülich, Germany

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Phys. Rev. C 66, 015207 – Published 24 July, 2002

DOI: https://doi.org/10.1103/PhysRevC.66.015207

Abstract

Some aspects of $a_{0}^{0}$ - $f_{0}$ mixing effects in the reaction $\vec{p} \vec{n} {da}_{0}^{0}$ with perpendicular polarized proton beam are discussed. An angular-asymmetry parameter A is defined to study those effects. It is shown that, for energies close to the production threshold, the angular-asymmetry parameter $A (θ, φ)$ is proportional to the $a_{0}^{0}$ - $f_{0}$ mixing amplitude for arbitrary polar and azimuthal angles $θ$ and $φ$ of the outgoing $a_{0}$ meson. This statement is also valid for arbitrary energies, but then only at polar angles $θ = 0 °$ and $θ = 90 ° .$ The mass dependence of the differential cross section $d σ {/ d m}_{π^{0} η}$ in the reaction $p \vec{n} d π^{0} η$ in the presence of $a_{0}^{0}$ - $f_{0}$ mixing is also discussed.

References (24)

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[c1] N. N. Achasov, S. A. Devyanin, and G. N. Shestakov, Phys. Lett. 88B, 367 (1979); Yad. Fiz. 33, 1337 (1981) [Sov. J. Nucl. Phys. 33, 715 (1981)].

[c2] T. Barnes, Phys. Lett. 165B, 434 (1985).

[c3] N. N. Achasov and G. N. Shestakov, Phys. Rev. D 56, 212 (1997).

[c4] O. Krehl, R. Rapp, and J. Speth, Phys. Lett. B 390, 23 (1997).

[c5] B. Kerbikov and F. Tabakin, Phys. Rev. C 62, 064601 (2000).

[c6] A. E. Kudryavtsev and V. E. Tarasov, JETP Lett. 72, 401 (2000); nucl-th/0102053.

[c7] V. Yu. Grishina, L. A. Kondratyuk, M. Büscher, W. Cassing, and H. Ströher, Phys. Lett. B 521, 217 (2001).

[c8] F. E. Close and A. Kirk, Phys. Lett. B 489, 24 (2000).

[c9] D. Barberis et al., Phys. Lett. B 488, 225 (2000).

[c10] A. Kirk, Phys. Lett. B 489, 29 (2000).

[c11] G. Janssen, B. Pierce, K. Holinde, and J. Speth, Phys. Rev. D 52, 2690 (1995).

[c12] J. A. Oller and E. Oset, Nucl. Phys. A620, 438 (1997); ibid.A652, 407 (1999).

[c13] S. Weinberg, Phys. Rev. 130, 776 (1963); ibid.131, 400 (1963).

[c14] E. Oset, J. A. Oller, and Ulf-G. Meissner, Eur. Phys. J. A 12, 435 (2001).

[c15] S. M. Flatté, Phys. Lett. 63B, 224 (1976).

[c16] N. N. Achasov, S. A. Devyanin, and G. N. Shestakov, Yad. Fiz. 32, 1098 (1980) [Sov. J. Nucl. Phys. 32, 566 (1980)].

[c17] W. B. Tippens et al., Phys. Rev. D 63, 052001 (2001).

[c18] Particle Data Group, D. E. Groom et al., Eur. Phys. J. C 15, 1 (2000).

[c19] V. Yu. Grishina, L. A. Kondratyuk, E. L. Bratkovskaya, M. Büscher, and W. Cassing, Eur. Phys. J. A 9, 277 (2000).

[c20] C. Hanhart and K. Nakayama, Phys. Lett. B 454, 176 (1999).

[c21] R. A. Arndt, I. I. Strakovsky, and R. L. Workman, Phys. Rev. C 62, 034005 (2000).

[c22] M. Büscher et al., Investigation of Neutral Scalar Mesons $a_{0} {/ f}_{0}$ with ANKE, COSY Proposal No. 97, 2001, http://ikpd15.ikp.kfa-juelich.de:8085/doc/Proposals.html

[c23] S. Teige et al., Phys. Rev. D 59, 012001 (1999).

[c24] G. A. Miller, B. M. K. Nefkens, and I. Šlaus, Phys. Rep. 194, 1 (1990).

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Aspects of $a_{0}$ - $f_{0}$ mixing in the reaction $\vec{p} \vec{n} {da}_{0}$

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Aspects of a0-f0 mixing in the reaction p→n→da0

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References (24)

Aspects of $a_{0}$ - $f_{0}$ mixing in the reaction $\vec{p} \vec{n} {da}_{0}$