Abstract
A phenomenological model for the \( \overline{{K}}\) N \( \rightarrow\) K \( \Xi\) reaction is suggested. The model includes s and u channel exchanges by \( \Lambda\) , \( \Sigma\) , \( \Sigma\)(1385) , and \( \Lambda\)(1520) and s channel exchanges by above-threshold hyperonic resonances. The explicit expression for the propagator for a particle with spin 7/2 is presented. High-mass and high-spin resonances play a significant role in the process. We deal with the whole set of existing experimental data on the cross-sections and polarizations in the energy range from the threshold to 2.8GeV in the center-of-mass system and reach a good agreement with experiments. Applications of the model to other elementary reactions of \( \Xi\) production and to \( \Xi\) hypernuclear spectroscopy are briefly discussed.
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J.W. Price et al., Phys. Rev. C 71, 058201 (2005)
L. Guo et al., Phys. Rev. C 76, 025208 (2007)
D. Weygand, Research Proposal to Jefferson Lab Program Advisory Committee (PAC 25), PR-04-010, 2004
J.T. Goetz, Dissertation, UCLA, 2010
T. Nagae, Nucl. Phys. A 805, 486 (2008)
T. Nagae, Lect. Notes Phys. 724, 81 (2007)
J.K. Ahn, J. Kor. Phys. Soc. 49, 2276 (2006)
T.R. Saito, J. Pochodzalla, Acta Phys. Pol. B 35, 1033 (2004)
W. Erni, hep-ex/0903.3905
K. Nakamura et al., J. Phys. G 37, 075021 (2010)
A. de Bellefon, A. Berthon, P. Billoir, J.M. Brunet,G. Trisram, J. Vrana, B. Baccari, G. Poulard, D. Revel, B. Tallini, Nuovo Cimento A 7, 567 (1972)
J.P. Berge, P. Eberhard, J.R. Hubbard, D.W. Merrill,J. Button-Shafer, F.T. Solmitz, M.L. Stevenson, Phys. Rev. 147, 945 (1966)
E. Briefel et al., Phys. Rev. D 16, 2706 (1977)
E. Briefel et al., Phys. Rev. D 12, 1859 (1975)
G. Burgun et al., Nucl. Phys. B 8, 447 (1968)
J.R. Carlson, H.F. Davis, D.E. Jauch, N.D. Sossong, R. Ellsworth, Phys. Rev. D 7, 2533 (1973)
D.D. Carmony, G.M. Pjerrou, P.E. Schlein, Phys. Rev. Lett. 12, 482 (1964)
P.M. Dauber, J.P. Berge, J.R. Hubbard, D.W. Merrill, R.A. Muller, Phys. Rev. 179, 1262 (1969)
J. Griselin et al., Nucl. Phys. B 93, 189 (1975)
M. Haque et al., Phys. Rev. 152, 1148 (1966)
G.W. London, R.R. Rau, N.P. Samios, S.S. Yamamoto, M. Goldberg, S. Lichtman, M. Prime, J. Leitner, Phys. Rev. 143, 1034 (1966)
R. Rader et al., Nuovo Cimento A 16, 178 (1973)
T.G. Trippe, P.E. Schlein, Phys. Rev. 158, 1334 (1967)
W.P. Trower, J.P. Ficenec, R.I. Hulsiger, J. Lathrop, J.N. Snyder, W.P. Swanson, Phys. Rev. 170, 1207 (1968)
J.C. Scheuer et al., Nucl. Phys. B 33, 61 (1971)
T. Iijima et al., Nucl. Phys. A 546, 588 (1992)
M.E. Ebel, P.B. James, Phys. Rev. 153, 1694 (1967)
P.B. James, Phys. Rev. 158, 1617 (1967)
B.K. Agarwal, J. Phys. A 4, L52 (1971)
K.L. Mir, J.K. Storrow, J. Phys. G 8, 465 (1982)
C.B. Dover, A. Gal, Ann. Phys. (N.Y.) 146, 309 (1983)
Y. Yamamoto, T. Motoba, T. Fukuda, M. Takahashi, K. Ikeda, Prog. Theor. Phys. Suppl. 117, 281 (1994)
S. Tadokoro, H. Kobayashi, Y. Akaishi, Phys. Rev. C 51, 2656 (1995)
M. Kohno, S. Hashimoto, Prog. Theor. Phys. 123, 157 (2010)
Th.A. Rijken, Y. Yamamoto, Phys. Rev. C 73, 044008 (2006)
M. Yamaguchi, K. Tominaga, Y. Yamamoto, T. Ueda, Prog. Theor. Phys. 105, 627 (2001)
J. Haidenbauer, Nucl. Phys. A 827, 336c (2009)
T. Fukuda et al., Phys. Rev. C 58, 1306 (1998)
P. Khaustov et al., Phys. Rev. C 61, 054603 (2000)
K. Nakazawa, T. Sasaki, Y. Yamamoto, Genshikaku Kenkyu 41, 75 (1997)
J.K. Ahn et al., Phys. Lett. B 633, 214 (2006)
K. Nakayama, Y. Oh, H. Haberzettl, Phys. Rev. C 74, 035205 (2006)
V.L. Korotkikh, D.E. Lanskoy, D.A. Sharov, Nucl. Phys. A 835, 353 (2010)
J.A. Oller, E. Oset, A. Ramos, Prog. Part. Nucl. Phys. 45, 157 (2000)
A. Matsuyama, T. Sato, T.-S.H. Lee, Phys. Rep. 439, 193 (2007)
J.D. Bjorken, S.D. Drell, Relativistic Quantum Mechanics (Mc-Graw-Hill, N.Y., 1964)
H.T. Williams, Phys. Rev. C 31, 2297 (1985)
R.A. Adelseck, C. Bennhold, L.E. Wright, Phys. Rev. C 32, 1681 (1985)
M. Benmerrouche, R.M. Davidson, N.C. Mukhopadhyay, Phys. Rev. C 39, 2339 (1989)
T. Mizutani, C. Fayard, G.-H. Lamot, B. Saghai, Phys. Rev. C 58, 75 (1998)
V. Pascalutsa, Phys. Rev. D 58, 096002 (1998)
V.S. Shklyar, H. Lenske, Phys. Rev. C 80, 058201 (2009)
J.C. David, C. Fayard, G.H. Lamot, B. Saghai, Phys. Rev. C 53, 2613 (1996)
Huang Shi-Zhong, Zhang Peng-Fei, Ruan Tu-Nan, Zhu Yu-Can, Zheng Zhi-Peng, Eur. Phys. J. C 42, 375 (2005)
H. Polinder, Th.A. Rijken, Phys. Rev. C 72, 065210 (2005)
T. Sato, T.-S.H. Lee, Phys. Rev. C 54, 2660 (1996)
V. Flaminio, W.G. Moorhead, D.R.O. Morrison, N. Rivoire, CERN-HERA preprint 83-02, 1983
J.K.S. Man, Y. Oh, K. Nakayama, Phys. Rev. C 83, 055201 (2011)
I.J. General, S.R. Cotanch, Phys. Rev. C 69, 035202 (2004)
S. Choe, Phys. Rev. C 57, 2061 (1998)
T. Aliev, V.S. Zamiralov, S.N. Lepshokov, A. Özpineci, S.B. Yakovlev, Yad. Fiz. 70, 958 (2007)
H. Matsumiya, K. Tsubakihara, M. Kimura, A. Dote, A. Ohnishi, Phys. Rev. C 83, 024312 (2011)
H. Bandō, T. Motoba, M. Sotona, J. Zofka, Phys. Rev. C 39, 587 (1989)
R.E. Behrends, C. Fronsdal, Phys. Rev. 106, 345 (1957)
C. Fronsdal, Nuovo Cimento Suppl. 9, 416 (1958)
S. Weinberg, Phys. Rev. 133, B1318 (1964)
M.D. Scadron, Phys. Rev. 165, 1640 (1968)
Y. Renard, Nucl. Phys. B 40, 499 (1972)
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Sharov, D.A., Korotkikh, V.L. & Lanskoy, D.E. Phenomenological model for the \( \overline{{K}}\)N \( \rightarrow\) K\( \Xi\) reaction. Eur. Phys. J. A 47, 109 (2011). https://doi.org/10.1140/epja/i2011-11109-1
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DOI: https://doi.org/10.1140/epja/i2011-11109-1