DPG, 11.03.08 Fragment formation in low energy proton-induced reactions within a hybrid BUU+SMM approach Th. Gaitanos, H. Lenske, U. Mosel Introduction.

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Presentation transcript:

DPG, Fragment formation in low energy proton-induced reactions within a hybrid BUU+SMM approach Th. Gaitanos, H. Lenske, U. Mosel Introduction Theoretical description Non-equlibrium stage (GiBUU) Asymptotic equilibrium stage (SMM) Hybrid approach (GiBUU+SMM) Applications Benchmark energies Final remarks

DPG, Introduction… Spallation reactions („small“ excitation of residual nucleus resp. to its ground state) useful tool to theoretically study/test long-time scales of fragmentation process Applications Study of hypernuclei (2nd talk): (HypHI) In future: PANDA (pbar+X), J-PARC Theor. description of Low energy hadron-induced reactions Non-(pre-)equilibrium first phase Asymptotic final state Equilibrated source with small excitation Statistical multifragmentation models Highly excited system Dynamical transport (BUU, QMD, INC) „Hybrid“ models (BUU+SMM)

DPG, Theoretical description… Initial non-equilibrium stage Relativistic transport equation of Boltzmann-type Giessen-Boltzmann-Uehling-Uhlenbeck (GiBUU) Asymptotic equilibrated stage Fission/spallation, evaporation, multifragmentation… (with increasing excitation) Statistical determination of partial decay widths  Monte-Carlo method (basic method similar to numerical treatment of collisions in transport approaches) E* A i,Z i E*-  A d,Z d j,  AiAi A d +n ( SMM code: Botvina & Mishustin, PR257(´95) 133

DPG, Benchmark: (properties of fragmenting source)… e-Print: arXiv: (almost accepted…) Definition of residual nucleus:  <  sat /100. Non-Equilibrium dynamics within GiBUU until system(s) approach local equilibrium at t=t f Determination of A,Z and E exc at time t f, and then apply SMM

DPG, Benchmark: (global characteristics)… Charge distribution… Mass distribution… e-Print: arXiv: (almost accepted…) Data: F. Rejmund et. al., NPA683(´01) 540 J. Benlliure et. al., NPA683(´01) 513 J. Benlliure et. al., NPA683(´01) 513

DPG, Benchmark: p+X reactions (details)… e-Print: arXiv: (almost accepted…) Data: F. Rejmund et. al., NPA683(´01) 540 J. Benlliure et. al., NPA683(´01) 513 J. Benlliure et. al., NPA683(´01) 513

DPG, Final remarks & Outlook… Low-energy proton-induced reactions  Residual system under stable conditions no compression/expansion effects, no radial flow effects  Wide selection of experimental data  Useful tool to study transport models including fragmentation Hybrid approach (GiBUU+SMM) Stable  Initial stage: Stable ground state  pre-equilibrium dynamics: relativistic GiBUU  asymptotic equilibrated stage: statistical decay by means of SMM Comparison with a wide selection of exp. data  Global characteristics and details fairly well reproduced Future/under progress developments  Gradient terms in meson field equations (A.Larionov)  Extended for iso-vector degrees of freedom (  -meson)  More consistent treatment of ground state (RTF)

DPG, Ground state in BUU: Stability… Important in calculating E exc Energy must be conserved! Important in determing the source No spurious particle emission! Improved model for ground state simulations in BUU B. Steimüller, O. Buss, U. Mosel, poster session, HK34.87

DPG, Dynamical aspects in p+X reactions… Definition of residual nucleus:  <  sat /100. Combination: BUU+SMM (hybrid model)… Non-Equilibrium dynamics within BUU until system(s) approach local equilibrium at t=t f Determination of A,Z and E exc at time t f, and then apply SMM