The &Lambda;(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions

Fang-Yong Dong; Bao-Xi Sun; Jing-Long Pang

doi:10.1088/1674-1137/41/7/074108

Chinese Physics C> 2017, Vol. 41> Issue(7) : 074108 DOI: 10.1088/1674-1137/41/7/074108

The Λ(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions

1.
College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
2.
College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
3.
Department of Physics, Peking University, Beijing 100871, China
4.
Department of Physics, Peking University, Beijing 100871, China

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Abstract：
The Bethe-Salpeter equation is solved in the framework of the unitary coupled-channel approximation by using the pseudoscalar meson-baryon octet interaction. The loop function of the intermediate meson and baryon is deduced in a dimensional regularization scheme, where the relativistic kinetic effect and off-shell corrections are taken into account. Based on the experimental data at the K^-p threshold, the subtraction constants in the loop function are determined. The squared amplitude is suppressed strongly and only one Λ(1405) state is generated dynamically in the strangeness S=-1 and isospin I=0 sector.
- chiral lagrangian ,
- kaon-baryon interaction ,
- hyperon

References

[1]	R. H. Dalitz, T. C. Wong, G. Rajasekaran, Phys. Rev., 153: 1617 (1967)
[2]	R. H. Dalitz and S. F. Tuan, Ann. Phys. (N. Y.) 10: 307 (1960)
[3]	L. S. Kisslinger and E. M. Henley, Eur. Phys. J. A, 47: 8 (2011)
[4]	I. Zychor et al, Phys. Lett. B, 660: 167 (2008)
[5]	N. Isgur and G. Karl, Phys. Rev. D, 18: 4187 (1978)
[6]	J. A. Oller, U.-G Meiner ner, Phys. Letter. B, 500: 263 (2001)
[7]	D. Jido, J. A. Oller, E. Oset, A. Ramos. U.-G Meiner ner, Nuclear Physics A, 725: 181 (2003)
[8]	L. S. Geng and E. Oset, Eur. Phys. J. A, 34: 405 (2007)
[9]	E. Oset, A. Ramos, C. Bennhold. Phys. Lett. B, 527: 99 (2002); E. Oset, A. Ramos, C. Bennhold. Erratum, Phys. Lett. B, 530: 260 (2002)
[10]	T. Hyodo, A. Hosaka, E. Oset, A. Ramos, and M. J. Vicente Vacas, Phys. Rev. C, 68: 065203 (2003)
[11]	A. Cieply and J. Smejkal, Eur. Phys. J. A, 43: 191 (2010)
[12]	M. Hassanvand et al, Phys Rev. C, 87: 055202 (2013)
[13]	R. H. Dalitz and A. Deloff. J. Phys. G, 17: 289 (1991)
[14]	G. Alexander, G. R. Kalbfleisch, D. H. Miller et al, Phys. Rev. Lett., 8: 447 (1962)
[15]	K. Moriya et al (CLAS Collaboration), Phys. Rev. C, 87(3): 035206 (2013)
[16]	M. Bazzi et al (SIDDHARTA Collaboration), Phys. Lett. B, 704: 113 (2011)
[17]	Y. Ikeda, T. Hyodo, and W. Weise, Nucl. Phys. A, 881: 98 (2012)
[18]	M. Mai and U. G. Meiner ner, Nucl. Phys. A, 900: 51 (2013)
[19]	Z. H. Guo and J. A. Oller, Phys. Rev. C, 87(3): 035202 (2013)
[20]	M. Mai and U. G. Meiner ner, Eur. Phys. J. A, 51(3): 30 (2015)
[21]	A. Cieply, M. Mai, U. G. Meiner ner, and J. Smejkal, Nucl. Phys. A, 954: 17 (2016)
[22]	A. Pich, Rep. Prog. Phys., 58: 563 (1995)
[23]	G. Ecker, Prog. Part. Nucl. Phys., 35: 1 (1995)
[24]	V. Bernard, N. Kaiser, and U. G. Meiner ner, Int. J. Mod. Phys. E, 4: 193 (1995)
[25]	P. C. Bruns, M. Mai, and U. G. Meiner ner, Phys. Lett. B, 697: 254 (2011)
[26]	E. Oset, A. Ramos, Nucl. Phys. A, 635: 99 (1998)
[27]	U. G. Meiner ner, U. Raha, and A. Rusetsky, Eur. Phys. J. C, 35: 349 (2004)
[28]	D. N. Tovee et al, Nucl. Phys. B, 33: 493 (1971)
[29]	R. J. Nowak et al, Nucl. Phys. B, 139: 61 (1978)
[30]	K. A. Olive et al (Particle Data Group), Chin. Phys. C, 38: 090001 (2014)
[31]	G. Passarino and M. J. G. Veltman, Nucl. Phys. B, 160: 151 (1979)

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Fang-Yong Dong, Bao-Xi Sun and Jing-Long Pang. The Λ(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions[J]. Chinese Physics C, 2017, 41(7): 074108. doi: 10.1088/1674-1137/41/7/074108

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Received: 2016-11-14
Revised: 2017-04-03

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通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

The Λ(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions

1. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

2. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

3. Department of Physics, Peking University, Beijing 100871, China

4. Department of Physics, Peking University, Beijing 100871, China

Received Date: 2016-11-14

Accepted Date: 2017-04-03

Available Online: 2017-07-05

Abstract: The Bethe-Salpeter equation is solved in the framework of the unitary coupled-channel approximation by using the pseudoscalar meson-baryon octet interaction. The loop function of the intermediate meson and baryon is deduced in a dimensional regularization scheme, where the relativistic kinetic effect and off-shell corrections are taken into account. Based on the experimental data at the K^-p threshold, the subtraction constants in the loop function are determined. The squared amplitude is suppressed strongly and only one Λ(1405) state is generated dynamically in the strangeness S=-1 and isospin I=0 sector.

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The Λ(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions

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The Λ(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions

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