Enhancement of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>π</mi><mrow><mrow><mover><mrow><mi>A</mi></mrow><mrow><mo>→</mo></mrow></mover></mrow></mrow><mi>π</mi><mi>π</mi><mi>A</mi></math></span> threshold cross sections by in-medium <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>π</mi><mi>π</mi></math></span> final state interactions

R. Rapp; J. W. Durso; Z. Aouissat; G. Chanfray; O. Krehl; P. Schuck; J. Speth; J. Wambach

doi:10.1103/PhysRevC.59.R1237

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Enhancement of $π \vec{A} π π A$ threshold cross sections by in-medium $π π$ final state interactions

R. Rapp¹, J. W. Durso^2,3, Z. Aouissat⁴, G. Chanfray⁵, O. Krehl², P. Schuck⁶, J. Speth², and J. Wambach⁴

¹Department of Physics and Astronomy, SUNY at Stony Brook, Stony Brook, New York 11794-3800
²Physics Department, Mount Holyoke College, South Hadley, Massachusetts 01075
³Institut für Kernphysik, Forschungszentrum Jülich GmbH, D-52425 Jülich, Germany
⁴Institut für Kernphysik, Schloßgartenstrasse 9, TU-Darmstadt, D-64289 Darmstadt, Germany
⁵IPN, IN2P3-CNRS/Université Claude Bernard Lyon I, 43 Boulevard du 11 Novembre 1918 F-69622 Villeurbanne Cedex, France
⁶ISN, IN2P3-CNRS/Université Joseph Fourier, 53 Avenue de Martyrs, F-38026 Grenoble Cedex, France

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Phys. Rev. C 59, R1237(R) – Published 1 March, 1999

DOI: https://doi.org/10.1103/PhysRevC.59.R1237

Abstract

We address the problem of pion production in low-energy $π$ -nucleus collisions. For the production mechanism, we assume a simple model consisting of a coherent sum of single pion exchange and the excitation—followed by the decay into two pions and a nucleon—of the $N^{*} (1440)$ resonance. The production amplitude is modified by the final state interaction between the pions calculated using the chirally improved Jülich meson exchange model including the polarization of the nuclear medium by the pions. The model reproduces well the experimentally observed $π \vec{A} π π A$ cross sections, especially the enhancement with increasing A of the $π^{+} π^{-}$ mass distribution in the threshold region.

References (20)

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[c1] J. Gasser and H. Leutwyler, Nucl. Phys. B250, 465 (1985).

[c2] J. F. Donoghue, C. Ramirez, and G. Valencia, Phys. Rev. D 38, 2195 (1988).

[c3] D. Lohse, J. W. Durso, K. Holinde, and J. Speth, Phys. Lett. B 234, 235 (1989); Nucl. Phys. A516, 513 (1990); ibid.B. C. Pearce, K. Holinde, and J. Speth, A541, 663 (1992); G. Janssen, B. C. Pearce, K. Holinde, and J. Speth, Phys. Rev. D 52, 2690 (1995).

[c4] J. A. Oller and E. Oset, Nucl. Phys. A620, 438 (1997).

[c5] R. Rapp, J. W. Durso, and J. Wambach, Nucl. Phys. A596, 436 (1996).

[c6] R. Rapp, Ph.D. thesis, Bonn, 1996, in Berichte des Forschungszentrum Jülich 3195 (Jülich, 1996).

[c7] S. Weinberg, Phys. Rev. Lett. 17, 616 (1966); Phys. Rev. 166, 1568 (1968).

[c8] R. Blankenbecler and R. Sugar, Phys. Rev. 142, 1051 (1966).

[c9] G. Chanfray, Z. Aouissat, P. Schuck, and W. Nörenberg, Phys. Lett. B 256, 325 (1991); ibid.V. Mull, J. Wambach, and J. Speth, 286, 13 (1992); Z. Aouissat, G. Chanfray, and P. Schuck, Mod. Phys. Lett. A 15, 1379 (1993).

[c10] Z. Aouissat, R. Rapp, G. Chanfray, P. Schuck, and J. Wambach, Nucl. Phys. A581, 471 (1995).

[c11] R. Rapp, J. W. Durso, and J. Wambach, Nucl. Phys. A615, 501 (1997).

[c12] R. Rapp, R. Machleidt, J. W. Durso, and G. E. Brown, Report No. SUNY-NTG-97-22, nucl-th/9706006.

[c13] R. Machleidt, K. Holinde, and Ch. Elster, Phys. Rep. 149, 1 (1987).

[c14] CHAOS Collaboration, F. Bonutti et al., Phys. Rev. Lett. 77, 603 (1996).

[c15] F. Bonutti et al., Nucl. Phys. A638, 729 (1998).

[c16] P. Schuck, W. Nörenberg, and G. Chanfray, Z. Phys. A 330, 119 (1988).

[c17] N. Grion et al., Phys. Rev. Lett. 59, 1080 (1987).

[c18] P. Schuck et al., Proceedings of the XXXVI International Winter Meeting on Nuclear Physics, Bormio, Italy, 1988, edited by I. Iori, nucl-th/9806069.

[c19] E. Oset and M. J. Vicente-Vacas, Nucl. Phys. A446, 584 (1985).

[c20] Particle Data Group, R. Barnett et al., Phys. Rev. D 54, 1 (1996).

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Enhancement of $π \vec{A} π π A$ threshold cross sections by in-medium $π π$ final state interactions

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Enhancement of πA→ππA threshold cross sections by in-medium ππ final state interactions

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Enhancement of $π \vec{A} π π A$ threshold cross sections by in-medium $π π$ final state interactions