Nuclear Physics B90 (1975) 296-306
© North-Holland Pubhshlng Company
ISOTENSORn-~PHASE SHIFTS BELOW THE p MASS
R.D. BAKER*
Cavendtsh Laboratory, Cambridge, England
Received 2 October 1974
(Rewsed 29 January 1975)
We present the results of a Chew-Low extrapolation of the reaction 7r+p ~ *r+ at
plon beam momenta 1 4 and 1 5 GeV/e. By extrapolating the *r+*r÷ ~ *r+lr + cross sectmn
and the asymmetry of the *r-,r angular distribution, lsotensor (1 = 2) S and D wave
determined at energies up to the p mass. Our S wave was greater than prevaous e
and our D wave roughly constant at a value of -1~ ° , much greater than the Lovela
Venezmno prediction
1. Introduction
This paper presents the results of a Chew-Low extrapolation performed on the
final state Ir+Tr+n Dipion production from the beam proceeds purely by lsovector
exchange, and is therefore free from 6o 0 exchange, which is believed to be large be-
low the p mass m reactions where it is possible, as m, say, ~r-p ~ ~r-lr°p.
In such reactions where p produchon is possible, most of the events will be m
the p peak, whereas our events are more evenly spread over all available 7r-Tr energies
while our low beam momentum concentrates the events into the small energy range
4 - 4 0 ~2 (fig. 2a).
Only two partial waves contribute m this energy range, the S and D lsotensor
(S 2 and D2) waves, so that the angular distribution gives a good estimate of D 2.
There are still few estimates of this wave.
There is little intrinsic mterest m the I = 2 channel, however, the lr-lr system is so
interlocked by crossing, analytlcity and umtanty, that almost any rehable piece of
data is of value, especially for low-energy self-consistency calculations, such as those
using the Roy equation. Ref. [ 1 ] remark that accurate low energy I = 2 data would
constrain the 1 = 0 S-wave, in their analysis.
* Present address" Rutherford Laboratory, Chilton, Dldcot, Oxon