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SUMMARY:The quest for the Hoyle-analog states in light hypernuclei
DTSTART;VALUE=DATE-TIME:20260923T093000Z
DTEND;VALUE=DATE-TIME:20260923T095000Z
DTSTAMP;VALUE=DATE-TIME:20260914T032344Z
UID:indico-contribution-507@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Victor Vasilevsky (Bogolyubov Institute for Theoreti
 cal Physics)\nTo resolve a long-standing problem of nuclear astrophysics r
 egarding of synthesis of $^{12}$C and heavier nuclei\, in 1953\, F. Hoyle 
 suggested that the nuclei $^{12}$C were created in a collision of three al
 pha particles. This collision leads to the creation of a very narrow (long
 -lived) 0$^{+}$ resonance state\, which emits a photon and then transforms
  into a bound state of $^{12}$C. Moreover\, F. Hoyle predicted the energy 
 and width of the 0$^{+}$ resonance state with high precision. Later\, this
  assumption was experimentally confirmed and now this resonance state is c
 alled the Hoyle state. Many theoretical models have been used to describe 
 such an exotic state and to reveal its nature. A microscopic three-cluster
  method\, proposed in [1]\, has been successfully applied in [2] to study 
 the peculiarities of the Hoyle state and find the Hoyle-analog states [3] 
 in a set of light nuclei.\n\nIn the present work\, we study the resonance 
 structure of light hypernuclei $_{\\Lambda}^{6}$H\, $_{\\Lambda}^{6}$He\, 
 $_{\\Lambda}^{6}$Li\, $_{\\Lambda}^{7}$He\, $_{\\Lambda}^{7}$Li\, $_{\\Lam
 bda}^{7}$Be\, and try to find the Hoyle-analog states\, i.e.\, the long-li
 ved resonance states which can be formed in a three-cluster collision. The
  quest is performed with a three-cluster microscopic model\, which was sug
 gested in Ref. [1] and modified to study hypernuclei. The selected hypernu
 clei are considered as three-cluster systems\, where one cluster is the la
 mbda hyperon. For each hypernuclei we selected a three-cluster configurati
 on\, which has the minimal threshold energy among other three-cluster conf
 igurations. This dominant three-cluster configuration allows us to study b
 ound states of a compound hypernuclear system and its resonance states in 
 two- and three-cluster continua.\n\nIn hypernuclei $\\ _{\\Lambda}^{6}$H\,
  $_{\\Lambda}^{6}$He\, $_{\\Lambda}^{6}$Li\, $_{\\Lambda}^{7}$He\, $_{\\La
 mbda}^{7}$Li\, we found several very narrow resonance states\, their total
  width is very small\, less than 10 keV\, and they lie close to the corres
 ponding three-cluster threshold. The narrowest resonance states have wave-
 function structures typical of those of the Hoyle-analog states in ordinar
 y nuclei [3]. Thus\, the Hoyle analog states can be excited in hypernuclei
  $_{\\Lambda}^{6}$H\, $_{\\Lambda}^{6}$He\, $_{\\Lambda}^{6}$Li\, $_{\\Lam
 bda}^{7}$He\, $_{\\Lambda}^{7}$Li in triple collisions of three clusters\,
  one of which is the lambda hyperon. \nWe assume that the narrowest resona
 nce states revealed by our model can be experimentally detected.\n\n[1]. V
 . S. Vasilevsky\, A. V. Nesterov\, F.  Arickx\, J.  Broeckhove\, “Algebr
 aic model for scattering in three-s-cluster systems. I. Theoretical backgr
 ound”\, Phys. Rev. C\, vol. 63\, 034606\, 2001.\n[2]. V. S. Vasilevsky\,
  F.  Arickx\, W. Vanroose\, J.  Broeckhove\, “Microscopic cluster descri
 ption of $^{12}$C”\, Phys. Rev. C\, vol. 85\, 034318\, 2012.\n[3]. V. S.
  Vasilevsky\, K. Katō\, N.  Takibayev\, “Systematic investigation of th
 e Hoyle -analog states in light nuclei “\, Phys. Rev. C\, vol. 98\, 0243
 25\, 2018.\n\nhttps://indico.bitp.kiev.ua/event/18/contributions/507/
LOCATION:Bogolyubov Institute for Theoretical Physics Conference Hall
URL:https://indico.bitp.kiev.ua/event/18/contributions/507/
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