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Double hypernuclei at PANDA M. Agnello, F. Ferro and F. Iazzi Dipartimento di Fisica Politecnico di Torino SUMMARY The physics of double-hypernuclei; Double strangeness production with antiprotons new way for 2 -hypernuclei; Simulation of the physics: preliminary results many physical processes involved.
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Strange baryons in nuclear systems S=1 S=1: -, -hypernuclei nuclear structure, new symmetries The presence of a hyperon may modify the size, shape… of nuclei New specific symmetries hyperon-nucleon interaction strange baryons in nuclei weak decay The physics of double-hypernuclei S=2 S=2: -atoms, -, 2 -hypernuclei nuclear structure baryon-baryon interaction in SU(3) f H-dibaryon S=3 S=3: -atom, ( -, -,3 -hypernuclei) J. Pochodzalla – LEAP 2003
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Double hypernuclei: present status 2 -hypernuclei have been already observed:
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Double hypernucleus production techniques 1) Double Strangeness Exchange: K - + p K + + - 10 6 K - on emulsion ( - production - capture hyper-fragment detection): few hypernuclei @ BNL (AGS 1996): K - on 12 C (diamond) ( scintillating fibers detector): 9000 stopped - (in 4 months) @ JHF: <7000 captured - per day are expected 2) - production from pbar: pbar + n - + 0 bar pbar stop + A K * bar in nucleus K * bar + N in nucleus - slow K + other pbar flight + A - fast + 0 bar + (A-1) low probability - to be strongly decelerated 0 bar is a strong signature
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Status of the - production
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From pbar to Double Hypernucleus
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From pbar to D-Hypernucleus (step 1) Strangeness Creation Reaction (SCR): pbar + n + (A-1) - + 0 bar + (A-1) Initial state: SCR threshold: P TH,SCR 2.65GeV/c; production threshold: P TH, 3.01GeV/c pbar momentum chosen: P(pbar) = 3 GeV/c (from theory (3 GeV/c) = MAX) Final state: no produced; two-body final state 0 bar processes: annihilation (inside or outside production nucleus),decay - processes: deceleration inside nucleus through elastic nuclear scatterings decay (negligible)
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SCR kinematics (LAB frame) max - angle max ( - ) 0.3 rad 17.2 o two kinematical solutions with: 1.3 GeV/c P( - ) 2.1 GeV/c 0.9 GeV/c P( 0 bar) 1.8 GeV/c 0.9 GeV/c P( - ) 1.3 GeV/c 1.85 GeV/c P( 0 bar) 2.1 GeV/c 0 ( - ) ( 0 bar) 0.3 rad 17.2 o Two-body reaction with threshold: } I solution } II solution
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-, 0 bar momentum vs. - angle
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P( bar) distribution after SCR
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0 bar angle after SCR
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From pbar to D-Hypernucleus (step 1) The 0 bar fate Kinematics parameters: ( 0 bar 0.8 c 6.5 cm max ( 0 bar 17.2 o (0.3 rad) High annihilation probability: 0 bar + nucleus K + + K 0 + X or K 0 + K 0 + X K +, probably forward-boosted, may be used for trigger purposes Simulation of 0 bar annihilation and of K path is to be done |
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From pbar to D-Hypernucleus (step 1) - path in residual nucleus INC-like approach (A-1) residual (excited) nucleus survives for a time longer than the time spent by - during elastic scatterings SCR reaction occurs uniformly in a spherical Ga nucleus (improvement: near the surface, to be done) ( - ) is chosen uniformly in the CM frame of reference (improvement: Fermi momentum, to be done) Elastic T ( - N) 10 mb (Charlton, P.L. 32B; Müller, P.L. 39B) Elastic d /d exp(B t), B = 5 GeV -2 Assumptions:
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From pbar to D-Hypernucleus (step 1) - path inside residual nucleus. Results from simulation: A non-negligible number of - ’s undergoes a few scatterings a non-negligible fraction of - ’s is decelerated below 800 MeV/c
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P( - ) distribution outside the Ga nucleus (Intranuclear scattering effects)
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From pbar to D-Hypernucleus (step 2) Energy loss and complete stop of - in secondary target Assumptions: Two parallelepipedal targets (1 mm gap): - production target (gallium wire 4(cm) x 50 x 50( m 2 ), A=70) hypernuclear target (diamond), 8 x 8 x 4 (thickness) cm 3 beam spot diameter: 50 m each - is given a lifetime , according to the distribution around the mean life at every deceleration step, the proper elapsed time interval is compared with , in order to determine whether the particle survives or not a complete stop is achieved in the diamond target: the stop position and the total elapsed time are evaluated
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P( - ) distribution before C target (Intranuclear scattering + energy loss in Ga target effects)
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Elapsed proper time before - entering C target
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From pbar to D-Hypernucleus (step 2) Energy loss (2 10 5 simulated - ’s). Gallium Gallium production target. Results:
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From pbar to D-Hypernucleus (step 2) Energy loss (2 10 5 simulated - ’s). Gold Gold production target. Results:
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Ga production target: expected rates Let us assume the following parameters: Luminosity L 10 32 cm -2 s -1 ; A = 70, Z = 31 (pbar+n bar) 2 b at 3 GeV/c (Kaidalov & Volkovitsky) (pbar+A) (pbar+n) A 2/3 (A-Z)/A p conversion probability, P 0.05 (Yamada, Hirata) probability of transition per event P T 0.5 level population fraction: P S 0.1 reconstruction efficiency: K 0.5 photo peak efficiency: 0.1 from simulation: stopped - fraction, f 9.85 10 -4 1.91 10 -2 We obtain (for Ga target): Number of produced - : N = L 1600 Hz Number of stopped and detected - : N stop N f K 0.79 15.3 s -1 Number of detected -hypernuclei: N N stop P P T P S (1.97 38.2) 10 -4 s -1 (per month: 510 9914; UrQMD: 200)
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Au production target: expected rates Let us assume the following parameters: Luminosity L 10 32 cm -2 s -1 ; A = 197, Z = 79 (pbar+n bar) 2 b at 3 GeV/c (Kaidalov & Volkovitsky) (pbar+A) (pbar+n) A 2/3 (A-Z)/A p conversion probability, P 0.05 (Yamada, Hirata) probability of transition per event P T 0.5 level population fraction: P S 0.1 reconstruction efficiency: K 0.5 photo peak efficiency: 0.1 from simulation: stopped - fraction, f 2.14 10 -3 2.88 10 -2 We obtain (for Au target): Number of produced - : N = L 1600 Hz Number of stopped and detected - : N stop N f K 1.71 23 s -1 Number of detected -hypernuclei: N N stop P P T P S (4.3 57) 10 -4 s -1 (per month: 1114 14774)
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Conclusions Simulation of - production and stopping (based on INC-Like Model) has been implemented Previous UrQMD rate prediction has been confirmed (slightly enhanced) - & double hypernuclei high rate production seems feasible in PANDA Future work Optimizing the physical parameters (production target, densities, geometry,…) Simulating 0 bar, + bar annihilations for trigger purposes Simulating the conversion and decay for detection purposes Producing spectra and distributions to insert in the event generator of PANDA-MC Exploring the experimental aspects (trigger, detection efficiency,...) by using PANDA-MC
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