Journal of Nuclear Science, Engineering and Technology (JONSAT)
In cooperation with the Iranian Nuclear Society

Calculating formation cross section of Λ (1405) in Kaon-deuteron reaction: comparison to E31 data

Document Type : Research Paper

Authors

M. Hassanvand
S. Shirinzadeh Varaghooli

Department of Nuclear Physics, Isfahan University of Technology, P.O.Box: 8415683111, Isfahan –Iran

https://doi.org/10.24200/nst.2020.1138
Abstract
The Λ*‎ resonance has been studied and investigated both theoretically and experimentally for decades‎. ‎The purpose of this paper is to study the mass and width of Λ* resonance state theoretically by calculating the T-matrix using a generalized optical potential with a Yukawa-type separable potential‎. ‎In the current calculation, the formation of Λ* in the K-d → Λ*‎ + ‎n → (Σπ)0 + n reaction is studied and the results of the analysis are fitted to the experimental data of E-31 carried out at J-PARC accelerator which is related to the collision of negative kaon of 1GeV/c momentum with liquid deuteron and according to the best fit‎, ‎mass and width of this resonant state calculated as MΛ* =1419 ± 2.4 MeV/c2 and , ‎respectively.

Highlights

1. C‎. ‎Patrignani, et al‎, ‎(Particle Data Group)‎, ‎Chin. ‎Phys. ‎C‎ ‎40 ‎100001 (2016) and 2017 update‎.

 

2. R‎.‎H. Dalitz‎, ‎T‎.‎C‎. ‎Wong, G‎. ‎Rajasekaran, ‎Model Calculation for the Y*(1405) Resonance State, ‎Phys. Rev. 153, 1617 (1967)‎.

 

3. ‎A. Müller-Groeling‎, ‎K‎. ‎Holinde, J‎. ‎Speth, ‎K−‎N interaction in the meson exchange framework,‎ ‎Nucl. Phys. A. 513, 557 (1990)‎.

 

4. ‎T. Waas‎, ‎N‎. ‎Kaiser, W‎. ‎Weise‎, ‎Effective kaon masses in dense nuclear and neutron matter, ‎Phys. Lett. B. 379 34-38 (1996).

 

5. Y. ‎‎Akaishi, T. Yamazaki‎, ‎Nuclear K bound states in light nuclei, ‎Phys. Rev. C. 65, 044005‎ (2002).

 

6. T. Yamazaki‎, Y. Akaishi‎, (K−, ‎π−) production of nuclear K‎̄ ‎bound states in proton-rich systems via Λ* doorways, ‎Phys. Lett. B. 535, 70-76 (2002)‎‎‎.

 

7. E. Oset‎, ‎A‎. ‎Ramos, C. Bennhold, ‎Low lying S=-1 excited baryons and chiral symmetry, ‎Phys. Lett. B. 527, ‎99-105 (2002).

 

8. T. Hyodo‎, et. al, ‎Flavor SU(3) breaking effects in the chiral unitary model for meson-baryon scatterings, ‎‎Phys. Rev. C. 68, ‎018201 (2003)‎.

 

9. B. Borasoy‎, ‎R‎. ‎Nissler, W‎. ‎Weise‎, ‎Chiral dynamics of kaon-nucleon interactions‎, ‎revisited, Eur. Phys. J. A: Hadrons and Nuclei, 25, 79-96 (2005)‎.

 

10. J. Zmeskal, et al., Measurement of the strong interaction induced shift and width of the 1s state of kaonic deuterium at J-PARC, Act. Phys. Pol. B. 46, 101 (2015).

 

11. K. Moriya, et al., [CLAS Collaboration], Measurement of the Σπ photo-production line shapes near the Λ(1405), Phys. Rev. C. 87, 035206 (2013).

 

12. H.Y. Lu, R.A. Schumacher, [CLAS Collaboration], First observation of the Λ(1405) line shape in electro-production, Phys. Rev. C. 88, 045202 (2013).

 

13. I. Zychor, et al., Lineshape of the Λ(1405) hyperon measured through its Σ0π0 decay, Phys. Lett. B. 660, 167 (2008).

 

14. G. Agakishiev, et al., [HADES Collaboration], Baryonic resonances close to the KN threshold: The case of Λ(1405) in pp collisions, Phys. Rev. C. 87, 025201 (2013).

 

15. S. Prakhov, et al., [Crystall Ball Collaboration], K−p→π0π0Σ0 at pK=514–750MeV∕c and comparison with other π0π0 production, Phys. Rev. C. 70, 034605 (2004).

 

16. S. Kawasaki, et al., Spectroscopic Experiment of Λ(1405) via the In-flight d(K−,n) Reaction at J-PARC K1.8BR, JPS Conference Proceedings, 13, 020018 (2017).

 

17. S. Ajimura, et al., Spectroscopic study of hyperon resonances below KN threshold via the (K-,n) reaction on Deuteron, Proposal for the J-PARC 50-GeV Proton Synchrotron.

 

18. K. Inoue, et al., presentation at the International workshop on Hadrons and Nuclear Physics, Osaka, Japan, 12-14 March 2017, https://indico2.riken.jp/ Indico/contributionDisplay.py?contribId=43&confide = 2389.

 

19. Y. Yamaguchi‎, ‎Two-nucleon problem when the potential is nonlocal but separable‎. ‎I, ‎Phys. Rev. 95, 1628 (1954)‎ ‎‎.

 

20. Y. Akaishi‎, ‎K.S. Myint, T. Yamazaki‎, Kaonic nuclear systems KbarN and KbarNN as decaying states, ‎Proc. Jap. Acad.‎, ‎Ser. B. 84, 264-273 (2008).

 

21. N.V. Shevchenko, one versus two pole KN-Σπ potential: Kd scattering length, Phys. Rev. C. 85, 034001 (2012).

 

22. M. Hassanvand, et al., Theoretical analysis of Λ(1405)→(Σπ)0 mass spectra produced in p+p→p+Λ(1405)+K+ reactions, Phys. Rev. C. 87 055202 (2013).

 

23. R.H Dalitz, A. Deloff, The shape and parameters of the Λ(1405) resonance, J. of Phys. G: Nucl. and Part. Phys. 17, 289 (1991).

 

24. Z.H. Guo, J.A. Oller, Meson-baryon reactions with strangeness=-1 within a chiral framework, Phys. Rev. C. 87, 035202 (2013).

 

25. Y. Ikeda, T. Hyodo, W. Weise, Improved constraints on chiral SU(3) dynamics from kaonic hydrogen, Phys. Lett. B. 706 (2011).

 

26. M. Mai, U.G. Meißner, Constraints on the chiral unitary KN amplitude from πΣK+ photo-production data, The Eur. Phys. J. A. 51, 30 (2015).

Keywords

Kaonic nuclear system‎
Λ (1405) resonance state‎
‎Experimental data
E-31‎
‎ J-PARC
1. C‎. ‎Patrignani, et al‎, ‎(Particle Data Group)‎, ‎Chin. ‎Phys. ‎C‎ ‎40 ‎100001 (2016) and 2017 update‎.
 
2. R‎.‎H. Dalitz‎, ‎T‎.‎C‎. ‎Wong, G‎. ‎Rajasekaran, ‎Model Calculation for the Y*(1405) Resonance State, ‎Phys. Rev. 153, 1617 (1967)‎.
 
3. ‎A. Müller-Groeling‎, ‎K‎. ‎Holinde, J‎. ‎Speth, ‎K−‎N interaction in the meson exchange framework,‎ ‎Nucl. Phys. A. 513, 557 (1990)‎.
 
4. ‎T. Waas‎, ‎N‎. ‎Kaiser, W‎. ‎Weise‎, ‎Effective kaon masses in dense nuclear and neutron matter, ‎Phys. Lett. B. 379 34-38 (1996).
 
5. Y. ‎‎Akaishi, T. Yamazaki‎, ‎Nuclear K bound states in light nuclei, ‎Phys. Rev. C. 65, 044005‎ (2002).
 
6. T. Yamazaki‎, Y. Akaishi‎, (K−, ‎π−) production of nuclear K‎̄ ‎bound states in proton-rich systems via Λ* doorways, ‎Phys. Lett. B. 535, 70-76 (2002)‎‎‎.
 
7. E. Oset‎, ‎A‎. ‎Ramos, C. Bennhold, ‎Low lying S=-1 excited baryons and chiral symmetry, ‎Phys. Lett. B. 527, ‎99-105 (2002).
 
8. T. Hyodo‎, et. al, ‎Flavor SU(3) breaking effects in the chiral unitary model for meson-baryon scatterings, ‎‎Phys. Rev. C. 68, ‎018201 (2003)‎.
 
9. B. Borasoy‎, ‎R‎. ‎Nissler, W‎. ‎Weise‎, ‎Chiral dynamics of kaon-nucleon interactions‎, ‎revisited, Eur. Phys. J. A: Hadrons and Nuclei, 25, 79-96 (2005)‎.
 
10. J. Zmeskal, et al., Measurement of the strong interaction induced shift and width of the 1s state of kaonic deuterium at J-PARC, Act. Phys. Pol. B. 46, 101 (2015).
 
11. K. Moriya, et al., [CLAS Collaboration], Measurement of the Σπ photo-production line shapes near the Λ(1405), Phys. Rev. C. 87, 035206 (2013).
 
12. H.Y. Lu, R.A. Schumacher, [CLAS Collaboration], First observation of the Λ(1405) line shape in electro-production, Phys. Rev. C. 88, 045202 (2013).
 
13. I. Zychor, et al., Lineshape of the Λ(1405) hyperon measured through its Σ0π0 decay, Phys. Lett. B. 660, 167 (2008).
 
14. G. Agakishiev, et al., [HADES Collaboration], Baryonic resonances close to the KN threshold: The case of Λ(1405) in pp collisions, Phys. Rev. C. 87, 025201 (2013).
 
15. S. Prakhov, et al., [Crystall Ball Collaboration], K−p→π0π0Σ0 at pK=514–750MeV∕c and comparison with other π0π0 production, Phys. Rev. C. 70, 034605 (2004).
 
16. S. Kawasaki, et al., Spectroscopic Experiment of Λ(1405) via the In-flight d(K−,n) Reaction at J-PARC K1.8BR, JPS Conference Proceedings, 13, 020018 (2017).
 
17. S. Ajimura, et al., Spectroscopic study of hyperon resonances below KN threshold via the (K-,n) reaction on Deuteron, Proposal for the J-PARC 50-GeV Proton Synchrotron.
 
18. K. Inoue, et al., presentation at the International workshop on Hadrons and Nuclear Physics, Osaka, Japan, 12-14 March 2017, https://indico2.riken.jp/ Indico/contributionDisplay.py?contribId=43&confide = 2389.
 
19. Y. Yamaguchi‎, ‎Two-nucleon problem when the potential is nonlocal but separable‎. ‎I, ‎Phys. Rev. 95, 1628 (1954)‎ ‎‎.
 
20. Y. Akaishi‎, ‎K.S. Myint, T. Yamazaki‎, Kaonic nuclear systems KbarN and KbarNN as decaying states, ‎Proc. Jap. Acad.‎, ‎Ser. B. 84, 264-273 (2008).
 
21. N.V. Shevchenko, one versus two pole KN-Σπ potential: Kd scattering length, Phys. Rev. C. 85, 034001 (2012).
 
22. M. Hassanvand, et al., Theoretical analysis of Λ(1405)→(Σπ)0 mass spectra produced in p+p→p+Λ(1405)+K+ reactions, Phys. Rev. C. 87 055202 (2013).
 
23. R.H Dalitz, A. Deloff, The shape and parameters of the Λ(1405) resonance, J. of Phys. G: Nucl. and Part. Phys. 17, 289 (1991).
 
24. Z.H. Guo, J.A. Oller, Meson-baryon reactions with strangeness=-1 within a chiral framework, Phys. Rev. C. 87, 035202 (2013).
 
25. Y. Ikeda, T. Hyodo, W. Weise, Improved constraints on chiral SU(3) dynamics from kaonic hydrogen, Phys. Lett. B. 706 (2011).
 
26. M. Mai, U.G. Meißner, Constraints on the chiral unitary KN amplitude from πΣK+ photo-production data, The Eur. Phys. J. A. 51, 30 (2015).

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