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OT@MSU 09/11/2019 1 Universal parameterization (“Convolution” method) revision “Universal parameterization” (UP) consists from two main blocks Prefragment search search direction, excitation energy model Momentum distribution “Convolution” model separation energy models * Published in 2004: O.T., Nuclear Physics A734 (2004) 536-540 UP has been created more than 20* years ago and some solutions were long overdue Active development of the LISE ++ Abrasion-Ablation (AA) model, that helped to understand reaction physics at intermediate energies, and results of comparison AA calculations with experimental data should be used to revise the UP model Some new experimental results in exotic regions demonstrated deviation from UP- 2000 predictions

Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

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Page 1: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

OT@MSU 09/11/2019 1

Universal parameterization (“Convolution” method) revision

“Universal parameterization” (UP) consists

from two main blocks

Prefragment search • search direction,

• excitation energy model

Momentum distribution “Convolution” model • separation energy models

* Published in 2004: O.T., Nuclear Physics A734 (2004) 536-540

UP has been created more than 20* years ago

and some solutions were long overdue

Active development of the LISE++

Abrasion-Ablation (AA) model, that

helped to understand reaction physics at

intermediate energies, and results of

comparison AA calculations with

experimental data should be used to

revise the UP model

Some new experimental results in exotic

regions demonstrated deviation from UP-

2000 predictions

Page 2: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

OT@MSU 09/11/2019 2

What is already out of date? [1]

Prefragment search • search direction

More probable prefragments calculated

with LISE++ Abrasion-Ablation (AA) model

show drastically differences with

the UP search results

http://lise.nscl.msu.edu/9_4/94_AA.pdf#page=10

Page 3: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

New prefragment search method “C”

OT@MSU 09/11/2019 3

new search option :

P = W * CSgeom * factorial

CSgeom – geometrical cross section to for production of prefragment with A-nucleons,

factorial – probability for Z-protons and N-protons after projectile abrasion

Page 4: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

OT@MSU 09/11/2019 4

What is already out of date? [2]

Prefragment search • excitation energy model

The Previous prefragment search version

was based only on geometrical

“dSurface” excitation energy model

(J.W.Wilson et al., NIM B18 (1986) 225),

although mainly J.-J. Gaimard and K.-

H.Schmidt NPA531(1991)709 model

used in LISE++ Abrasion-Ablation cross-

sections calculations

Page 5: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

New excitation energy model (#1) to use in prefragment search

OT@MSU 09/11/2019 5

New radiobutton frame with new search option:

“E* per abraded nucleon”. The Previous search

version was based only on the “dSurface” energy.

Page 6: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

Prefragment calculation settings : v.11.1.102

OT@MSU 09/11/2019 6

New default

Settings “C1”

Page 7: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

48Ca (140 MeV/u) 32Mg : options A, B & C

OT@MSU 09/11/2019 7

v.11.1.102

C0

C1

Starting v.11.1.102

“C1” is recommended option!

Page 8: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

OT@MSU 09/11/2019 8

What is already out of date? [3]

Momentum distribution

“Convolution” model • separation energy models

Update of the Convolution method dialog

New version

Old version

ES = E0 * dA

dA - number of abraded nucleons

calculated by a module set in the

Prefragment search dialog

E0 – currently set to 14 Mev #0#1

#2

#2

Page 9: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

New default parameters for the Convolution model

OT@MSU 09/11/2019 9

All new default parameters can be downloaded from

“A1900_2019.lopt” file in the LISE++ v.11.1.102 package

Page 10: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

Projectile Isospin and Velocity fragment

OT@MSU 09/11/2019 10

Page 11: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

Velocity of fragments : neutron-rich region

OT@MSU 09/11/2019 11

76Ge 82Se

OT et al., PHYSICAL REVIEW C 87, 054612 (2013)

for DJM

for DJM

The Universal parameterization fairly describes mean values and

widths of velocity distributions in a neutron-rich region, whereas

fragments are faster and distributions are narrow comparing to

the DJM parameterization with default parameters.

Page 12: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

Velocity of fragments : proton-rich region

OT@MSU 09/11/2019 12

78Kr (150 MeV/u) + Be(374 mg/cm2) @ NSCL

DJM Convolution A0 #1

http://lise.nscl.msu.edu/paper/velocity/2019_05_17_78Kr_results.pdf

Both models with default parameters predict significantly faster fragments.

DJM with Es parameter equal to 10 (instead default 8) reproduce experimental data

Page 13: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

Binding energies changes from west to east

OT@MSU 09/11/2019 13

82Se experiment

region

78Kr experiment

region

http://lise.nscl.msu.edu/9_8/LISE_stability_plot.pdf

82Se experiment

region

78Kr experiment

region

+ Coulomb option

Page 14: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

“Stability” plots + Coulomb option

OT@MSU 09/11/2019 14

“Stability” plots with Coulomb option demonstrate isotope ability to the evaporation cascade,

because a charge evaporated particle should overcome Coulomb barrier

Page 15: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

“Stability” plots + Coulomb option

OT@MSU 09/11/2019 15

“Stability” plots with

Coulomb option

demonstrate isotope

ability to the evaporation

cascade,

because a charge

evaporated particle should

overcome Coulomb barrier

Repeat:

DJM’s model with Es

parameter equal to 10

(instead default 8)

reproduce 78Kr beam

experimental data

Page 16: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

78Kr (150 MeV/u) + Be(374 mg/cm2) experiment @ NSCL

OT@MSU 09/11/2019 16

A1A0

Version 11.0.80 Version 11.1.100

#1 #2

LISE_opt Brho-value corresponding to maximum yield from the convolution modelX-axis: Abeam - Afragment

Universal

parameterization

Page 17: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

78Kr (150 MeV/u) + Be(374 mg/cm2) experiment @ NSCL

OT@MSU 09/11/2019 17X-axis: Abeam - Afragment

C1A0

Version 11.0.80 Version 11.1.102

#1#2

LISE_opt Brho-value corresponding to maximum yield from the convolution model

Universal

parameterization

New revised Universal parameterization

(options C1 #2) predictions are more

close to experimental proton-rich results

Page 18: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

Momentum distributions as beam isospin function : - 10n

OT@MSU 09/11/2019 18

78Kr 68Kr

86Kr 76Kr

“C1” – prefragment search

# 2 – convolution model (120,1,-1)

DJM – standard parameters (8,87)

E= 100 MeV/u, very thin Be-targetConvolution “C1”

Page 19: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

Momentum distributions as beam isospin function : - 10p

OT@MSU 09/11/2019 19

78Kr 68Fe

86Kr 76Fe

“C1” – prefragment search

# 2 – convolution model (120,1,-1)

DJM – standard parameters (8,87)

E= 100 MeV/u, very thin Be-targetConvolution “C1”

Page 20: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

Momentum distributions as beam isospin function : - 10p -10n

OT@MSU 09/11/2019 20

78Kr 58Fe

86Kr 66Fe

“C1” – prefragment search

# 2 – convolution model (120,1,-1)

DJM – standard parameters (8,87)

E= 100 MeV/u, very thin Be-targetConvolution “C1”

See more quality computing

results of more probable

prefragments in the last

presentation slide

Page 21: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

Benchmarks of

Universal parameterization

prefragment search methods

OT@MSU 09/11/2019 21

Page 22: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

48Ca (140 MeV/u) A=42 : Prefragment search “A1”

OT@MSU 09/11/2019 22

Prefragment search “A1”

Page 23: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

86Kr (140 MeV/u) A=76 : Prefragment search “A1”

OT@MSU 09/11/2019 23

Prefragment search “A1”

Page 24: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

86Kr (60 MeV/u) A=76 : Prefragment search “A1”

OT@MSU 09/11/2019 24

Prefragment search “A1”

Page 25: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

78Kr (140 MeV/u) A=70 : Prefragment search “A1”

OT@MSU 09/11/2019 25

Prefragment search “A1”

Page 26: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

86Kr (140 MeV/u) A=76 : Prefragment search “C1”

OT@MSU 09/11/2019 26Prefragment search “C1”

Version 11.1.102 default settings

Page 27: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

86Kr (140 MeV/u) A=76 : Prefragment search “C1”

OT@MSU 09/11/2019 27

Final

fragments

Prefragments

X

X

X

76Kr 76Ga

EPAX2

76Fe76Se

X

Page 28: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

78Kr (140 MeV/u) A=70 : Prefragment search “C1”

OT@MSU 09/11/2019 28Prefragment search “C1”

Version 11.1.102 default settings

Page 29: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

78Kr (140 MeV/u) A=70 : Prefragment search “C1”

OT@MSU 09/11/2019 29

Final

fragments

Prefragments

X

X

X

70Kr 70Ge

EPAX2

70Ni70Se

X

Page 30: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

48Ca (140 MeV/u) 32Mg : A0 prefragment search options

OT@MSU 09/11/2019 30

Page 31: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

48Ca (140 MeV/u) 32Mg : A1 prefragment search options

OT@MSU 09/11/2019 31

Page 32: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

48Ca (140 MeV/u) 32Mg : C1 prefragment search options

OT@MSU 09/11/2019 32

Page 33: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

48Ca (140 MeV/u) 32Mg : options A & B

OT@MSU 09/11/2019 33

A0

A1

B0

B1

Page 34: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

48Ca (140 MeV/u) 32Mg : options A, B & C

OT@MSU 09/11/2019 34

v.11.1.102

C0

C1

Starting v.11.1.102

“C1” is recommended option!

Page 35: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

78Kr 71Se : Convolution version & DJM vs. Energy

OT@MSU 09/11/2019 35

A1

A1

A1

A1

Page 36: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

78Kr 71Se : Convolution version (A1 & C1) & DJM vs. Energy

OT@MSU 09/11/2019 36

A1Conv #2 C1

DJM coef =9.6

A1 & C1 convolution models are close the same in these plots

Page 37: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

OT@MSU 09/11/2019 37

Revision details

Version 11.1.100

09/05/19 o UP dialog

- UP method #2 re-make: Separation energy now from Abrasion Excitation Energy

- Update of UP plot (4 curves)

- UP modification for high energy

- UP modification for the "result_factor" value

o Prefragment Search dialog

- New option (abrasion) for excitation energy to search a prefragment

- Modification of N/Z algorithm search

- Prefragment search parameters: write/read to/from to user file

- Prefragment search parameters: new default values

- Modification of "B" searching method for prefragment

- New method “C” to search a prefragment

o Momentum distribution as function of beam isospin

o Error function modification

- Error function algorithm revision.

- Implementation of "erfc" array:

increasing argument range from 4.2 up to 20

“UP” = Universal Parameterization

UPDATE:

v.11.1.10209/09/19

Page 38: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

Update of UP plot (4 curves) : conv=90 MeV/c

OT@MSU 09/11/2019 38

48Ca (140 MeV/u) 42S

Prefragment search “A1”

Page 39: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

Update of UP plot (4 curves) : conv=120 MeV/c

OT@MSU 09/11/2019 39

48Ca (140 MeV/u) 42S

Prefragment search “A1”

Page 40: Universal parameterization (“Convolution” method) revisionlise.nscl.msu.edu/10_1/11_1_102_UniversalParam.pdf · A0 C1 Version 11.0.80 Version 11.1.102 #1 #2 LISE_opt Brho-value

Initial prefragment plots for 78Kr 58Fe and 86Kr 66Fe

OT@MSU 09/11/2019 40

86Kr 75Fe* 66Fe78Kr 68Zn* 58Fe