Model predictions for deep inelastic reactions: towards high Z and - PowerPoint PPT Presentation

Introduction The model N-rich End Extra Model predictions for deep inelastic reactions: towards high Z and A. Giovanni POLLAROLO Dipartimento di Fisica, Universit` a di TORINO e INFN Sezione di Torino 126 50 NUSTAR Annual Meeting At GSI, Darmstadt, Germany February 25th - March 1st 2013

Introduction The model N-rich End Extra HI reactions, a short overview

Introduction The model N-rich End Extra HI reactions, a short overview TRANSFER REACTIONS EVAPORATION

Introduction The model N-rich End Extra HI reactions, a short overview TRANSFER REACTIONS EVAPORATION FUSION-FISSION Lfus >> Lld ORBITING

Introduction The model N-rich End Extra HI reactions, a short overview

Introduction The model N-rich End Extra HI reactions, a short overview IMPORTANT FOR NUCLEI HEAVIER THEN TARGET

Introduction The model N-rich End Extra The model - surface modes To explain the large deformations of the fragments prior the separation one has to introduce degrees of freedoms describing the shape of the fragments. This is usually done by indroducing: � Surface degrees of freedom ( collision time τ = a / ¨ r o ) f in ( r ) ∼ e − r / a in • INELASTIC a in = 0 . 65 fm (few channels but strong) • low lying: mass (D) large NON adiabatic force (C) small coupled-channels • high lying: mass (D) small adiabatic force (C) large Of course also the exhange of nucleons is important- TRANSFER

Introduction The model N-rich End Extra The model - surface modes To explain the large deformations of the fragments prior the separation one has to introduce degrees of freedoms describing the shape of the fragments. This is usually done by indroducing: � Surface degrees of freedom ( collision time τ = a / ¨ r o ) f in ( r ) ∼ e − r / a in • INELASTIC a in = 0 . 65 fm (few channels but strong) • low lying: mass (D) large NON adiabatic force (C) small coupled-channels • high lying: mass (D) small adiabatic force (C) large Of course also the exhange of nucleons is important- TRANSFER

Introduction The model N-rich End Extra The model - surface modes To explain the large deformations of the fragments prior the separation one has to introduce degrees of freedoms describing the shape of the fragments. This is usually done by indroducing: � Surface degrees of freedom ( collision time τ = a / ¨ r o ) f in ( r ) ∼ e − r / a in • INELASTIC a in = 0 . 65 fm (few channels but strong) • low lying: mass (D) large NON adiabatic force (C) small coupled-channels • high lying: mass (D) small adiabatic force (C) large Of course also the exhange of nucleons is important- TRANSFER

Introduction The model N-rich End Extra The model - transfer The exchange of nucleons is characterized by the presence of channels that are weak but very numerous . The transfer process is governed by: a matrix element of the form: � d 3 r ′ ψ † r ′ | ) ψ j ( ¯ r ′ ) ∝ e − κ tr R r ′ ) V a ( | ¯ M βα ′ ∼ i ′ (¯ R − ¯ Where V a is the shell model potential binding the nucleon to the projectile or target (post/prior simmetry). The range parameter κ tr is related to the binding-energy E of the nucleon 1 = 1 � κ a ′ 2 m o ( −E a ′ 1 ) ∼ 0 . 6 fm �

Introduction The model N-rich End Extra The model - transfer Optimun Q-value conditions: − ( Q − Q opt ) 2 � � P βα ′ ∼ | M βα ′ ( r o ) | 2 exp � 2 ¨ r o κ a ′ 1

Introduction The model N-rich End Extra GRAZING The time evolution of a heavy-ion reaction is described by the following system of coupled equations : i � � ( E β − E α ) t + i ( δ β − δ α ) i � ˙ c β ( t ) = < β | H int | α > c α ( t ) e α i � ˙ Ψ( t ) = ( H 0 + H int )Ψ( t ) d �� �� ������������ ������������ i � � E β t Ψ( t ) = c β ( t ) ψ β e ������������ ������������ ������������ ������������ ������������ ������������ A ������������ ������������ β ������������ ������������ R where ψ α are the channels wave function (asymptotic states) ���� ���� b ���� ���� ψ α ( t ) = ψ a ( t ) ψ A ( t ) e i δ ( � R ) A. Winther Nucl.Phys. A572 (1994)191, Nucl.Phys. A594 (1995)203

Introduction The model N-rich End Extra The potential (frozen-density, diabatic) Borrowed from Valery Zagrebaev (IRIS10 Workshop, March 2010)

Introduction The model N-rich End Extra The actinides (Cm target) 99 98 97 96

Introduction The model N-rich End Extra The actinides (Cm target)

Introduction The model N-rich End Extra The actinides (Cm target)

Introduction The model N-rich End Extra The 90 Zr+ 208 Pb system

Introduction The model N-rich End Extra The 90 Zr+ 208 Pb system

Introduction The model N-rich End Extra Toward heavier then target nuclei What we have seen up to now concern stable projectile. To populate heavier then target nuclei besides: proton stripping (-1p) neutron pick-up (+1n) (these reactions populate nuclei with larger Z but smaller MASS ) we have to OPEN also the: proton pick-up (+1p) neutron stripping (-1n)

Introduction The model N-rich End Extra Toward heavier then target nuclei What we have seen up to now concern stable projectile. To populate heavier then target nuclei besides: proton stripping (-1p) neutron pick-up (+1n) (these reactions populate nuclei with larger Z but smaller MASS ) we have to OPEN also the: proton pick-up (+1p) neutron stripping (-1n) N-rich projectiles

Introduction The model N-rich End Extra Bindind energy

Introduction The model N-rich End Extra The Xe + 208 Pb reaction at E c . m . =700 MeV The population of projectile-like fragments (corrected by evaporation of the light) For stable nuclei the Q opt ( N , Z ) is such that only: - proton stripping (-1p) - neutron pick-up (+1n) are possible.

Introduction The model N-rich End Extra The Xe + 208 Pb reaction at E c . m . =700 MeV The population of the target-like fragments:

Introduction The model N-rich End Extra The 144 Xe + 248 Cm

Introduction The model N-rich End Extra 144 Xe versus 48 Ca

Introduction The model N-rich End Extra Where multinucleon-transfer

Introduction The model N-rich End Extra Where multinucleon-transfer T H A N K S

Introduction The model N-rich End Extra 58 Ni + 208 Pb Data from Legnaro National Lab. (INFN) L. Corradi, et al.

Introduction The model N-rich End Extra 82 Se + 248 U

Introduction The model N-rich End Extra The 64 Ni + 248 U and 82 Se + 248 U

Introduction The model N-rich End Extra The 136 Xe + 248 U

Introduction The model N-rich End Extra The 86 Kr+ 166 Er

Introduction The model N-rich End Extra 136 Xe + 208 Pb and 238 U+ 248 Cm V.I. Zagrebaev and W. Greiner Phys. Rev. C (2011) 044618