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Status of the Search for \(\eta \)-Mesic Nuclei with Particular Focus on \(\eta \)-Helium Bound States

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Abstract

In this paper the search for \(\eta \)-mesic nuclei with particular focus on light \(\eta \)-He bound states is reviewed. A brief description of recent experimental results is presented.

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References

  1. N.G. Kelkar, K.P. Khemchandani, N.J. Upadhyay, B.K. Jain, Interaction of \(\eta \) mesons with nuclei. Rep. Prog. Phys. 76, 066301 (2013)

    Article  ADS  Google Scholar 

  2. V. Metag, M. Nanova, E.Y. Paryev, Meson-nucleus potentials and the search for meson-nucleus bound states. Prog. Part. Nucl. Phys. 97, 199 (2017)

    Article  ADS  Google Scholar 

  3. S.D. Bass, P. Moskal, \(\eta ^{\prime }\) and \(\eta \) mesons with connection to anomalous glue. Rev. Mod. Phys. 91, 015003 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  4. R.S. Bhalerao, L.C. Liu, Off-shell model for threshold pionic \(\eta \) production on a nucleon and for \(\eta \)N scattering. Phys. Rev. Lett. 54, 865 (1985)

    Article  ADS  Google Scholar 

  5. Q. Haider, L.C. Liu, Formation of an \(\eta \) mesic nucleus. Phys. Lett. B 172, 257 (1986)

    Article  ADS  Google Scholar 

  6. M. Nanova et al., The \(\eta ^{\prime }\)-carbon potential at low meson momenta. Eur. Phys. J. A 54, 182 (2018)

    Article  ADS  Google Scholar 

  7. E. Czerwiński et al., Determination of the \(\eta ^{\prime }\)-proton scattering length in free space. Phys. Rev. Lett. 113, 062004 (2014)

    Article  ADS  Google Scholar 

  8. J.J. Xie et al., Determination of the \(\eta ^3{\rm He}\) threshold structure from the low energy \(pd \rightarrow \eta ^3{\rm He}\) reaction. Phys. Rev. C 95(1), 015202 (2017)

    Article  ADS  Google Scholar 

  9. J.J. Xie et al., \(\eta \)-\(^{4} \text{ He }\) interaction from the \(dd\rightarrow \)\(\eta ^{4} \text{ He }\) reaction near threshold. Eur. Phys. J. A 55(1), 6 (2019)

    Article  ADS  Google Scholar 

  10. C. Wilkin, Near-threshold production of \(\eta \) mesons. Phys. Rev. C 47, 938 (1993)

    Article  ADS  Google Scholar 

  11. A.M. Green, J.A. Niskanen, S. Wycech, \(\eta \)-deuteron scattering. Phys. Rev. C 54, 1970 (1996)

    Article  ADS  Google Scholar 

  12. S. Wycech, A.M. Green, J.A. Niskanen, Are there \(\eta \) helium bound states? Phys. Rev. C 52, 544 (1995)

    Article  ADS  Google Scholar 

  13. A. Fix, O. Kolesnikov, Solution of the five-body \(\eta ^{4} \text{ He }\) problem with separable pole expansion method. Phys. Lett. B 772, 663 (2017)

    Article  ADS  Google Scholar 

  14. A. Fix, O. Kolesnikov, Systematic few-body analysis of \(\eta \)d, \(\eta ^{3} \text{ He }\) and \(\eta ^{4} \text{ He }\) interaction at low energies. Phys. Rev. C 97, 044001 (2018)

    Article  ADS  Google Scholar 

  15. N. Barnea, B. Bazak, E. Friedman, A. Gal, Onset of \(\eta \)-nuclear binding in a pionless EFT approach, Phys. Lett. B 771, 297 (2017). Erratum: Phys. Lett. B 775, 364 (2017)

  16. N. Barnea, E. Friedman, A. Gal, Onset of \(\eta \)-meson binding in the He isotopes. Nucl. Phys. A 968, 35 (2017)

    Article  ADS  Google Scholar 

  17. G.A. Sokol, L.N. Pavlyuchenko, Discovery of \(\eta \)-mesic nuclei (2011). arXiv:nucl-ex/0111020

  18. A. Budzanowski et al., Search for \(\eta \)-mesic nuclei in a recoil-free transfer reaction. Phys. Rev. C 79, 012201 (2009)

    Article  ADS  Google Scholar 

  19. J. Berger et al., Identification of the \(d+p\rightarrow \)\(^{3} \text{ He } \eta \) reaction very near threshold: cross section and deuteron tensor analyzing power. Phys. Rev. Lett. 61, 919 (1988)

    Article  ADS  Google Scholar 

  20. B. Mayer et al., The reactions \(pd\rightarrow \)\(^{3} \text{ He } \eta \) and \(d+p\rightarrow \)\(^{3} \text{ He } \pi ^{+} \pi ^{-}\) near the \(\eta \) threshold. Phys. Rev. C 53, 2068 (1996)

    Article  ADS  Google Scholar 

  21. J. Smyrski et al., Measurement of the \(dp\rightarrow \)\(^{3} \text{ He } \eta \) reaction near threshold. Phys. Lett. B 649, 258 (2007)

    Article  ADS  Google Scholar 

  22. T. Mersmann et al., Precision study of the \(\eta ^{3} \text{ He }\) system using the \(dp\rightarrow \)\(^{3} \text{ He } \eta \) reaction. Phys. Rev. Lett. 98, 242301 (2007)

    Article  ADS  Google Scholar 

  23. M. Papenbrock et al., Absence of spin dependence in the final state interaction of the \(\vec{d}p\rightarrow \)\(^{3} \text{ He } \eta \) reaction. Phys. Lett. B 734, 333 (2014)

    Article  ADS  Google Scholar 

  24. Q. Haider, L.C. Liu, Interference and nuclear medium effects on the \(\eta \)-mesic nuclear spectrum. J. Phys. G 37, 125104 (2010)

    Article  ADS  Google Scholar 

  25. P. Adlarson et al., Search for the \(\eta \)-mesic \(^{4} \text{ He }\) with WASA-at-COSY detector. Phys. Rev. C 88, 055208 (2013)

    Article  ADS  Google Scholar 

  26. P. Adlarson et al., Search for \(\eta \)-mesic \(^{4} \text{ He }\) in the \(dd \rightarrow \)\(^{4} \text{ He } n \pi ^{0}\) and \(dd \rightarrow \)\(^{4} \text{ He } p \pi ^{-}\) reactions with the WASA-at-COSY facility. Nucl. Phys. A 959, 102 (2017)

    Article  ADS  Google Scholar 

  27. M. Skurzok et al., Constraining the optical potential in the search for \(\eta \)-mesic \(^{4} \text{ He }\). Phys. Lett. B 782, 297 (2018)

    Article  ADS  Google Scholar 

  28. P. Adlarson et al., Search for \(\eta \)-mesic \(^{3} \text{ He }\) with the WASA-at-COSY facility in the \(pd\rightarrow \)\(^{3} \text{ He } 2\gamma \) and \(pd\rightarrow \)\(^{3} \text{ He } 6\gamma \) reactions. Phys. Lett. B 802, 135205 (2020)

    Article  Google Scholar 

  29. P. Adlarson et al., Search for \(\eta \)-mesic \(^{3} \text{ He }\) in the in the \(pd\rightarrow \)\(d p 2\pi ^{0}\) reaction with the WASA-at-COSY facility. Phys. Rev. C 102, 044322 (2020)

    Article  ADS  Google Scholar 

  30. S.D. Bass, A.W. Thomas, \(\eta \) bound states in nuclei: A Probe of flavor-singlet dynamics. Phys. Lett. B 634, 368 (2006)

    Article  ADS  Google Scholar 

  31. S.D. Bass, A.W. Thomas, QCD symmetries in \(\eta \) and \(\eta ^{\prime }\)-mesic nuclei. Acta Phys. Pol. B 45, 627 (2014)

    Article  ADS  Google Scholar 

  32. T. Inoue, E. Oset, \(\eta \) in the nuclear medium within a chiral unitary approach. Nucl. Phys. A 710, 354 (2002)

    Article  ADS  Google Scholar 

  33. H. Nagahiro, D. Jido, S. Hirenzaki, Formation of \(\eta \)-mesic nuclei by (\(\pi \), N) reaction and N\(^{*}\)(1535) in medium. Phys. Rev. C 80, 025205 (2009)

    Article  ADS  Google Scholar 

  34. N. Isgur, G. Karl, P-wave baryons in the quark model. Phys. Rev. D 18, 4187 (1978)

    Article  ADS  Google Scholar 

  35. Z.-W. Liu et al., Hamiltonian effective field theory study of the N\(^{*}\)(1535) resonance in lattice QCD. Phys. Rev. Lett. 116, 082004 (2016)

    Article  ADS  Google Scholar 

  36. T. Hyodo, D. Jido, A. Hosaka, Origin of resonances in the chiral unitary approach. Phys. Rev. C 78, 025203 (2008)

    Article  ADS  Google Scholar 

  37. E.J. Garzon, E. Oset, Mixing of pseudoscalar-baryon and vector-baryon in the \(J^{P}\)=1/2\(^{-}\) sector and the N\(^{*}\)(1535) and N\(^{*}\)(1650) resonances. Phys. Rev. C 91, 025201 (2015)

    Article  ADS  Google Scholar 

  38. D. Jido, H. Nagahiro, S. Hirenzaki, Medium effects to the N\(^{*}\)(1535) resonance and \(\eta \) mesic nuclei. Phys. Rev. C 66, 045202 (2002)

    Article  ADS  Google Scholar 

  39. R.E. Chrien et al., Search for bound states of the \(\eta \) meson in light nuclei. Phys. Rev. Lett. 60, 2595 (1988)

    Article  ADS  Google Scholar 

  40. J.D. Johnson et al., Search for an \(\eta \) bound state in pion double charge exchange on \(^{18} \text{ O }\). Phys. Rev. C 47, 2571 (1993)

    Article  ADS  Google Scholar 

  41. S.V. Afanasiev et al., Search results of \(\eta \)-mesic nuclei in the d+C reaction in JINR. Nucl. Phys. B 219/220, 255 (2011)

    Article  Google Scholar 

  42. H. Machner, Search for quasi bound \(\eta \) mesons. J. Phys. G 42, 043001 (2015)

    Article  ADS  Google Scholar 

  43. R. Frascaria et al., Total \(d+d \rightarrow \alpha + \eta \) cross sections near threshold. Phys. Rev. C 50, 537 (1994)

    Article  ADS  Google Scholar 

  44. N. Willis et al., \(\eta \)-helium quasi-bound states. Phys. Lett. B 406, 14 (1997)

    Article  ADS  Google Scholar 

  45. A. Wrońska et al., Near-threshold \(\eta \)-meson production in the \(d d \rightarrow \)\(^{4} \text{ He } \eta \) reaction. Eur. Phys. J. A 26, 421 (2005)

    Article  ADS  Google Scholar 

  46. M. Pfeiffer et al., Photoproduction of \(\eta \) mesic \(^{3} \text{ He }\). Phys. Rev. Lett. 92, 252001 (2004)

    Article  ADS  Google Scholar 

  47. F. Pheron et al., Koherent photoproduction of \(\eta \)-mesons off \(^{3} \text{ He }\)- search for \(\eta \)-mesic nuclei. Phys. Lett. B 709, 21 (2012)

    Article  ADS  Google Scholar 

  48. H.-H. Adam et al., Hadronic \(^{3} \text{ He } \eta \) production near threshold. Phys. Rev. C 75, 014004 (2007)

    Article  ADS  Google Scholar 

  49. A. Budzanowski et al., Cross section and tensor analysing power of the \(dd \rightarrow \eta \alpha \) reaction near threshold. Nucl. Phys. A 821, 193 (2009)

    Article  ADS  Google Scholar 

  50. C. Wilkin, The legacy of the experimental hadron physics programme at COSY. Eur. Phys. J. A 53(6), 114 (2017)

    Article  ADS  Google Scholar 

  51. W. Krzemien et al., Search for the \(^{3} \text{ He }\)-\(\eta \) bound state at COSY-11. Int. J. Mod. Phys. A 24, 576 (2009)

    ADS  Google Scholar 

  52. N.G. Kelkar, Momentum distribution of N\(^{*}\) in nuclei. Eur. Phys. J. A 52, 309 (2016)

    Article  ADS  Google Scholar 

  53. N.G. Kelkar, H. Kamada, M. Skurzok, N-N-N\(^{*}\) model calculations for experimental \(\eta \)-mesic \(^{3} \text{ He }\) searches. Int. J. Mod. Phys. E 28(8), 1950066 (2019)

    Article  ADS  Google Scholar 

  54. N.G. Kelkar, D. Bedoya Fierro, H. Kamada, M. Skurzok, Study of the N\(^{*}\) momentum distribution for experimental \(\eta \)-mesic \(^{3} \text{ He }\) searches. Nucl. Phys. A 996, 121698 (2020)

    Article  Google Scholar 

  55. N. Ikeno, H. Nagahiro, D. Jido, S. Hirenzaki, \(\eta \)-nucleus interaction from the d + d reaction around the production threshold. Eur. Phys. J. A 53, 194 (2017)

    Article  ADS  Google Scholar 

  56. S. Wycech, W. Krzemien, Studies of mesic nuclei via decay reactions. Acta Phys. Pol. B 45, 745 (2014)

    Article  ADS  Google Scholar 

  57. M. Skurzok et al., Non-mesonic decay of the \(\eta \)-mesic \(^{3} \text{ He }\) via \(pd\rightarrow \)\((^{3} \text{ He }-\eta )_{bound}\)\(^{3} \text{ He } 2\gamma (6\gamma )\) reaction. Nucl. Phys. A 993, 121647 (2020)

    Article  Google Scholar 

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Acknowledgements

I acknowledge the support from the Polish National Science Center through Grant No. 2016/23/B/ST2/00784.

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  1. Magdalena Skurzok

    Present address: INFN, Laboratori Nazionali di Frascati, 00044, Frascati, Italy

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  1. Institute of Physics, Jagiellonian University, Prof. Stanisława Łojasiewicza str. 11, 30-348, Kraków, Poland

    Magdalena Skurzok

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Skurzok, M. Status of the Search for \(\eta \)-Mesic Nuclei with Particular Focus on \(\eta \)-Helium Bound States. Few-Body Syst 62, 5 (2021). https://doi.org/10.1007/s00601-020-01585-x

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