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Memo CP-E/125
Date:
To:
From:
Subject:

November 5, 2007
Distribution
OTSUKA Naohiko
Differential cross section for 4-momentum transfer squared

According to the action list of the last NRDC meeting, I prepared a summary of codes andLEXFOR entry for differential cross section for 4-momentum transfer squared. Relevant codes
are summarized below.
Dictionary

CodeDimension

24 (Data Headings)
25 (Units)-t
GEV2/C2
MB/GEV2/C2
EC2 (*), D4DTDT,DTEC2EC2
D426 (Family flag)
32 (Parameters)
213 (Reaction type)
236 (Quantity))(*) Not in dictionary, must be defined.

Reaction CINDA
typequantityDT
D4Web
quantity

DADT

Dictionary 24 (Data Headings)
We need a new data type (I2) for 4-momentum transfer squared. Usually this differential crosssection is given for elastic scattering, for which 4-momentum transfer squared depends onscattering angle (See LEXFOR entry proposal). Therefore I would like to propose a new data
type “69” for 4-momentum transfer squared. Data heading –t is for a simple independent
variable. Therefore plotting flags (I7) “1000000” is proposed.
Dictionary 26 (Family flag)
Family code EC2 in dictionary 24 and 25 must be defined in dictionary 26.
EC22425
4-momentum transfer squaredDictionary 213 (Reaction type)
Differential cross section for 4-momentum transfer squared requires –t as an independent
variable. I proposed data type “69” for –t for dictionary 24. Therefore we need independent
variable family code “4” (=the first digit of data type minus 2, as mentioned in the last page ofdictionary manual - IAEA-NDS-213 August 2007).

Below is a proposed LEXFOR entry for “Secondary 4-momentum transfer distribution”.
LEXFOR entry: Secondary 4-momentum transfer distribution
Below is an explanation of differential cross section for 4-momentum transfer squared, to be
added into LEXFOR entry “Differential data”.
Secondary Energy Distributions (dσ/dE′)…
Secondary Momentum Distributions (dσ/dp′)
1. Linear momentum distribution: probability for a particle to be emitted with a given…
2. Linear momentum distribution for a correlated pair: Probability that a particle a and a particle...
Secondary 4-momentum transfer distributions (dσ/dt)
Probability for a particle to be emitted with a given 4-momentum transfer squared t; given as σ(t)r r= dσ/dt, where 4-momentum transfer squared of the particle is defined by t = ( E '− E ) 2 − ( p '− p) 2rr
for scattering of the particle ( E , p) → ( E ' , p ' ) . Note that t is a Lorentz scalar, and t = -4p2 sin2(θ/2) <0 for elastic scattering and t = -4EE’sin2 (θ/2) <0 for relativistic limit. The data are given
in units of cross section per unit of 4-momentum squared (e.g., mb/(GeV/c)2).
REACTION coding: DT in SF6.
Unit type: D4 (e.g., MB/GEV2/C2)

The 4-momentum transfer squared is given under the data heading –t with the opposite sign.

Distribution:
S. Babykina, CAJaD
S. Dunaeva, NDS
A. Hasegawa, NEA-DB
J. Katakura, JAEA
V.N. Manokhin, CJD
A. Nichols, NDS
A. Ohnishi, JCPRG
O. Schwerer, NDS
V. Varlamov, CDFE
V. Zerkin, NDS

A. Blokhin, CJD
S. Ganesan, BARC
H. Henriksson, NEA-DB
K. Katō, JCPRG
V. McLane, NNDC
C. Nordborg, NEA-DB
N. Otuka, JCPRG
S. Tákacs, ATOMKI
M. Vlasov, UkrNDC
Y.X. Zhuang, CNDC

J.H. Chang, KAERI
Z.G. Ge, CNDC
M. Herman, NNDC
Y.O. Lee, KAERI
A. Mengoni NDS
P. Obložinský, NNDC
V. Pronyaev, CJD
S. Taova, VNIIEF
M. Wirtz, NDS
EXFOR, NEA-DB

M. Chiba, JCPRG
O. Gritzay, UkrNDC
A. Kaltchenko, UkrNDC
S. Maev, Obninsk
M. Mikhaylyukova, CJD
Y. Ohbayasi, JCPRG
D. Rochman, NNDC
T. Tárkányi, ATOMKI
H.W. Yu, CNDC