Few-body neutron and kaonic clusters

Authors

  • R. Ya. Kezerashvili Physics Department, New York City College of Technology, The City University of New York,Brooklyn, NY 11201, The Graduate School and University Center, The City University of New York,New York, NY 10016

DOI:

https://doi.org/10.26577/phst-2016-1-95

Keywords:

Trineutron, tetraneutron, kaonic clusters

Abstract

In this review, we try to summarize the results of experimental search and theoretical studies within variational methods, the method of Faddeev and Faddeev-Yakubovsky equations, and the method of hyperspherical harmonics for the lightest neutron and kaonic clusters. In particular, we discuss few-body neutron clusters: bineutron, trineutron and tetraneutron. Related to few-body kaonic clusters the results of calculations for binding energies and widths for the Крр and KNNN kaonic systems are presented and discussed.

References

[1] P. B. Demorest. T. Pennucci. S.M. Ransom. M.S.E. Roberts. and J.W.T. Hessels. Nature (London)– 2010. – Vol. 467.– P. 1081.
[2] E. Hiyama. Few-Body Syst. – 2015. – Vol. 56.– P. 787.
[3] D. B. Kaplan and A. E. Nelson. Strange goings on in dense nucleonic matter // Phys. Lett. B. – 1986. – Vol. 175. – P. 57.
[4] G. E. Brown. The equation of state of dense matter: supernovae. neutron stars and black holes // Nucl. Phys. A. – 1994. – Vol. 574. – P. 217.
[5] G. E. Brown. M. Rho. Chiral restoration in hot and/or dense matter // Phys. Rep. – 1996. – Vol. 269. – P.333.
[6] C. H. Lee. Kaon condensation in dense stellar matter// Phys. Rep. – 1996. – Vol. 275. – P. 255.
[7] S. C. Pieper. Can Modern Nuclear Hamiltonians Tolerate a Bound Tetraneutron? // Phys. Rev. Lett. – 2003. – Vol. 90. – P. 252501.
[8] A. B. Volkov. Equilibrium deformation calculations of the ground state energies of 1p shell nuclei // Nucl. Phys. – 1965. – Vol. 74. – P. 33.
[9] S. Fiarman. S. S. Hanna. Energy levels of light nuclei A = 3 // Nucl. Phys. A. – 1975. – Vol. 251. – P. 1.
[10] D. R. Tilley. H. R. Weller. and Hasan. Energy levels of light nuclei A = 3 // Nucl. Phys. A. – 1987. – Vol.474. – P. 1.
[11] V. Ajdaic. M. Cerineo. B. Lalovi. G. Pai. I. laus. and P. Toma. Reactions H3(n.p)3n and H3(n.H4)γ at En=14.4 MeV // Phys. Rev. Lett. – 1965. – Vol. 14. – P.444.
[12] S. T. Thornton. J.K. Bair. C.M. Jones. and H.B. Willard. Search for the Trineutron // Phys. Rev. Lett. – 1966. – Vol. 17. – P. 701.
[13] J. Grater. P. A. Amaudruz. R. Bilger. et al. // Eur. Phys. J. A. – 1999. – Vol. 4. – P. 5
[14] J. Sperrinde. et al. // Phys. Lett. B. – 1970. – Vol.32. – P. 185.
[15] R. I. Jibuti. R. Ya. Kezerashvili. Sov. J. Nucl. Phys. – 1984. – Vol. 39. – P. 264.
[16] R.I. Jibuti. R.Ya. Kezerashvili. Double-charge-ex change reactions of π-mesons on three- and four-particle nuclei // Nucl. Phys. A. – 1985. – Vol.437. – 1q 687.
[17] A Stez et al.Pion double charge exchange on 3He and 4He // Nucl. Phys. A. – 1986. – Vol. 457. – P. 669.
[18] H. Witala. W. Glöckle. Resonances in the three-neutron system // Phys. Rev. C. – 1999. – Vol. 60. – P. 024002.
[19] A. Hemmdan. W. Glöckle. and H. Kamada. Indications for the nonexistence of three-neutron resonances near the physical region // Phys. Rev. C. – 2002. – Vol. 66. – P. 054001.
[20] A. I. Baz. V.N. Bragin. Do multineutrons really exist? // Phys. Lett. B. – 1972. – Vol. 39. – P. 599.
[21] A. Csoto. H. Oberhummer. R. Pichler. Searching for three-nucleon resonances // Phys. Rev. C. – 1996. – Vol. 53. – P. 1589
[22] J. Grater. et al.Inclusive measurements of pionic double charge exchange on 3He at low energies // Phys. Lett. B. – 1999. – Vol. 471. – P. 113.
[23] M. Yuly et al.Pion double charge exchange and inelastic scattering on 3He // Phys. Rev. C. – 1997. – Vol.55. – P. 1848.
[24] R. Lazauskas and J. Carbonell. Three-neutron resonance trajectories for realistic interaction models // Phys. Rev. C. – 2005. – Vol. 71. – P. 044004.
[25] K. Kisamori. et al. Candidate Resonant Tetraneutron State Populated by the He4(He8,Be8) Reaction// Phys Rev. Lett. – 2016. – Vol. 116. –P.052501.
[26] A. V. Belozyorov. C. Borcea. Z. Dlouhy. and A. M. Kalininю Search for the tri- and tetra-neutron in reactions induced by 11B and 9Be ions on 7Li // Nucl. Phys. A. – 1988. – Vol. 477. – P. 131.
[27] D. V. Aleksandrov. et al. Yad. Fiz. 47. – 1988. – P. 3.
[28] D. V. Aleksandrov. E. Y. Nikol. B. G. Novatski. S. B. Sakuta. and D. N. Stepanov.Search resonances in systems of three and four neutrons in the reactions 7Li (7Li, 11C) and 7Li (7Li, 10C) in the nuclei 7Li // JETP Lett. – 2005. – Vol. 81. – P. 43.
[29] S. Fiarman. W.E. Meyerhof. Energy levels of light nuclei A = 4 // Nucl. Phys. A. – 1973. – Vol. 206. – P.1.
[30] J. E. Urgan. et. al.Search for the tetraneutron by the double-charge-exchange of negative pions // Phys. Lett. B. – 1984. – Vol. 144. – P. 333.
[31] R. Ya. Kezerashvili. Sov. J. Nucl. Phys. – 1986. – Vol. 44. – P. 542.
[32] A. Stetz. at. al.Pion Double Charge Exchange on He4 and Meson Exchange Currents// Phys. Rev. Lett. – 1981. – Vol. 47. – P. 782
[33] E. R. Kinney. et. al.Inclusive pion double charge exchange in He4// Phys. Rev. Lett. – 1986. – Vol. 57. – P.3152.
[34] T. P. Gorringe. et. al.Search for the tetraneutron using the reaction He4(π−,π+)4n // Phys. Rev. C. – 1989. – Vol. 40. – P. 2390.
[35] J. P. Schiffer and R. Vanderbosch. Search for a particle-stable tetra neutron // Phys. Lett. 5. – 1963. – P.292.
[36] S. Cierjacks. G. Markus.W. Michaelis. and W. Ponitz // Phys. Rev. B. – 1965. – Vol. 345. – P. 137.
[37] V. A. Ageev. I. N. Vishnevskii. V. I. Gavrilyuk. et.al. Ukr. J. Phys. – 1986. – Vol. 31. – P. 1771.
[38] W. R. Gibbs. B. F. Gibson. A. T. Hess. and G. J. Stephenson. Pion double charge exchange on He4 // Phys. Rev. C. – 1977. – Vol. 15. – P. 1384.
[39] R. I. Jibuti. R. Ya. Kezerashvili. K. I. Sigua. Investigation of π−(π+)+4He→π+(π−) + 4n (4p) // Phys. Lett. B. – 1981. – Vol. 102. – P. 381;
[40] Yad. Fiz. – 1980. – Vol. 32. – P. 1536
[41] A. M. Gorbatov. et. al. Yad. Fiz. – 1989. – Vol.50. – P. 347.
[42] K. Vagra. Y. Suzuki.Precise solution of few-body problems with the stochastic variational method on a correlated Gaussian basis // Phys. Rev. C. – 1995. – Vol.52. – P. 2885.
[43] A. M. Badalyan. T. I. Belova. N. B. Konyuhova. V.D. Efros. Sov. J. Nucl. Phys. – 1985. – Vol. 41. – P.926.
[44] S. A. Sofianos S. A. Rakityansky. G. P. Vermaak. Subthreshold resonances in few-neutron systems // J.Phys. G: Nucl. Part. Phys. – 1997. – Vol. 23 – P. 1619.
[45] I. F. Gutich. A. V. Nesterov. I. P. Okhrimenko Yad. Fiz. – 1989. – Vol. 50. – P. 19.
[46] F. M. Marques. et. al.Detection of neutron clusters// Phys. Rev. C. – 2002. – Vol. 65. – P. 0444006.
[47] N. K. Timofeyuk.Do multineutrons exist? // J.Phys. G: Nucl. Part. Phys. – 2003. – Vol. 29. – P. L9 .
[48] C. A. Bertulani and V. Zelevinsky.Is the tetraneutron a bound dineutron–dineutron molecule? // J.Phys. G. – 2003. – Vol. 29. – P. 2431.
[49] L.V. Grigorenko. N. K. Timofeyuk. and M.V.Zhukov. Broad states beyond the neutron drip line // Eur. Phys. J. A. – 2004. – Vol. 19. – P. 187.
[50] I. V. Simenog. B. E. Grinyuk. Yu. M. Bidasyuk. Asymptotic properties of structuralfunctions of nucleus6Li and 6He whitin three-particle models // Ukr. J. Phys. – 2006. – Vol. 51. – P. 954.
[51] Y. A. Lashko and G. F. Filippov. Cluster Structure of a Low-Energy Resonance in Tetraneutron // Phys. At. Nucl. – 2008. – Vol. 71. – P. 209.
[52] B. S. Pudliner. A. Smerzi. J. Carlson. V. R. Pandharipande. S. C. Pieper. and D. G. Ravenhall // Phys. Rev. Lett. – 1996. – Vol. 76. – P. 2416 .
[53] P. Maris. J. P. Vary. S. Gandolfi. J. Carlson. and S. C. Pieper. Properties of trapped neutrons interacting with realistic nuclear Hamiltonians // Phys. Rev. C. – 2013. – Vol. 87. – P. 054318.
[54] O.L. Berman. R.Ya. Kezerashvili. G.V.Kol-makov. and Yu.E. Lozovik. Turbulence in a Bose-Einstein condensate of dipolar excitons in coupled quantum wells // Phys. Rev. B. – 2012. – Vol. 86. – P.045108.
[55] O. L. Berman. R. Ya. Kezerashvili. K. Ziegler // Phys. Rev. B. – 2012. – Vol. 86. – P. 235404.
[56] Y. Akaishi and T. Yamazaki. Superfluidity and collective properties of excitonic polaritons in gapped graphene in a microcavity // Phys. Rev. C. – 2002. – Vol.65. – P. 044005.
[57] T. Yamazaki and Y. Akaishi. (K−, π−) production of nuclear K̄ bound states in proton-rich systems via Λ

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Published

2017-03-06

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Section

Nuclear Physics and Related Techology