Study of p 6Li 7Be Reaction

1
Study of p 6Li ? ?7Be Reaction

• B. K. Jain
• University of Mumbai, Mumbai, India

Collaborators N. J. Upadhyay (University of
Mumbai, India) N. G.
Kelkar (Universidad de los Andes, Colombia)
K. P. Khemchandani (IFCI,
Valencia)
2
Introduction

• ?-N interaction in s-wave is attractive.
• Does this elementary interaction produces enough
• ? - Nucleus attraction to give rise to ?
  - Nucleus
• states, viz. quasi-bound, resonances, etc
  ?
• Appropriate study to answer this could be through
• ? - production in nuclei close to
  threshold.
• Experimental Studies
• p d ? 3He ?
• p d ? p d ?

(at SATURN, CELSIUS COSY)
3

• Most comprehensive successful studies to
  explain these data by us ahN 0.88 i0.41
  fm

The square of p d ? 3He ? amplitude

• K. P. Khemchandani et.al., Nucl. Phys. A708
  (2002) 312
• K. P. Khemchandani et.al., Phys. Rev. C68 (2003)
  064610

4
The square of p d ? p d ? amplitude ahN 1.07
i0.26 fm
Angular distribution of p d ? p d ? reaction

• N. J. Upadhyay et.al., Phys. Rev. C75 (2007)
  054002

5

• With a desire to go over to heavier nuclei we
  study
• p 6Li ? ? 7Be reaction
• Reason In 1993, existing Turin group data
• Tp 683 MeV (Q 17 MeV)
• Relatively crude plane wave analysis by
• J. S. Al-Khalili et.al. J Phys. G 19 (1993)
  403
• Proposed experiment at COSY
• Tp 673 MeV (Q 11 MeV)

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Production Mechanism
FSI
p
?
d
3He
d
3He
?
?
?
7Be
6Li
?
p
?
?
p
n
p d ? 3He ?
n
p
d
3He
p
Two-Step Model
d
7

• p d ? ? 3He reaction
• Two-step mechanism
• Step 1 p n ? ? d
• Step 2 ? p ? ? p
• Inputs
• p N ? ? d (SAID Program)
• R. A. Arndt et.al., Phys. Rev. C48 (93) 1926
• from
  coupled channel
• 
  calculations
• R. S. Bhalerao L. C. Liu, Phys. Rev. L54 (1985)
  865
• A. Fix et.al., Nucl. Phys. A697 (2002) 277

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?-7Be FSI
Given the T-matrix for ?-7Be elastic scattering,
T?7Be , the FSI is included by writing
Plane wave
Scattered wave
t3
?
Model for T?7Be Elementary Scatt. Centers a
3He
?
?
t?
9
where T3 and T? are medium modified t3 and t?
respectively.
t3 and t? are from FRA calculations of ours.

• N. G. Kelkar et.al., J. Phys. G NPP32 (2006) L19

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p 6Li ? ?7Be T-matrix
where,
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For relative ?-d in L 0 state
where,
12
Ignoring the effect of Fermi motion on Tp d ? 3He
? ,
where,
FL(Q) Transition form factor
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Wave functions

• Cluster model wave function

d
?
?
3He

• J. S. Al-Khalili et.al., J. Phys. G 19 (1993)
  403
• B. Buck A. C. Merchant, J. Phys. G NP14 (1988)
  L211
• V. I. Kukulin et.al., Nucl. Phys. A245 (1975) 429

14

• Greens function Monte Carlo (GFMC)
  Variational wave function

• Forest et.al., Phys. Rev. C54 (1996) 646

• Transition Form Factor, FL(Q) for 6Li ? 7Be

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