Fou -body con inuum-disc e ized
coupled-channels calcula ions: Applica ion o
6He+64Zn a 13.6 MeV
M. Rod íguez-Galla do∗,†, J. M. A ias†, J. Gómez-Camacho†,∗∗,
A. M. Mo o†, I. J. Thompson‡and J. A. Tos e in§
∗IEM, CSIC, Se ano 123, 28006 Mad id, Spain
†Dep o. FAMN, Uni e sidad de Se illa, Apdo. 1065, Se illa, Spain
∗∗ CNA, A . Thomas A. Edison 7, 41092 Se illa, Spain
‡LLNL, PO Box 808, Li e mo e, CA 94551, USA
§Depa men o Physics, Uni e si y o Su ey, Guild o d, Su ey GU2 7XH, UK
Abs ac . The ecen ly de eloped ou -body con inuum-disc e ized coupled-channels (CDCC)
me hod, making use o he binning p ocedu e [1], is applied o he eac ion 6He+64Zn a 13.6 MeV
(a ound he Coulomb ba ie ). Excellen ag eemen wi h a ailable elas ic da a [2] is ound.
Keywo ds: Few-body sys ems. Di ec eac ions induced by halo nuclei. Coupled-channel models.
PACS: 21.45.- ,24.50.+g,25.60.- ,24.10.Eq,27.20.+n
INTRODUCTION
The mo i a ion o his wo k is o lea n abou Bo omean nuclei such as 6He. Bo omean
sys ems a e halo nuclei wi h wo nucleons in he halo such ha he bina y subsys ems
a e unbound. Fo he eac ions induced by halo nuclei wi h only one nucleon, ha is,
o h ee-body eac ions ( wo-body p ojec ile plus a a ge ) he Con inuum-Disc e ized
Coupled-Channels (CDCC) o malism [3] has been widely used among he Nuclea
Physics communi y. The i s ex ensions [4, 5] o CDCC o ou -body eac ions ( h ee-
body p ojec ile plus a a ge ), we e pe o med using Pseudo-S a e bases o ep esen
he con inuum o he p ojec ile ins ead o disc e izing he ue con inuum (binning
p ocedu e) as in he s anda d h ee-body CDCC [3]. These ex ensions show a slow
oscilla o y con e gence o he sca e ing obse ables [5] o eac ions whe e Coulomb
b eakup is impo an . Recen ly, in Re . [1] he binning p ocedu e has been ex ended
o h ee-body p ojec iles, using he eigenchannel (EC) expansion o he h ee-body S-
ma ix o he con inuum ep esen a ion. In his wo k we applied his o malism o he
eac ion 6He+64Zn a 13.6 MeV o assess he accu acy o he me hod.
6HE+64ZN AT 13.6 MEV
We ha e applied he o malism p esen ed in Re . [1] o he eac ion 6He+64Zn a 13.6
MeV. We ha e included 6He s a es wi h o al angula momen um j
π
=0+
,1−and 2+
and p ojec ile- a ge in e ac ion mul ipole couplings wi h o de Q=0,1,2. Coulomb
235
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Nuclea Physics: Theo y, Expe imen s, and Applica ions, edi ed by J. A. Caballe o, C. E. Alonso, M. V. And és,
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0 30 60 90 120 150
θc.m. (deg)
0
0.2
0.4
0.6
0.8
1
σ/σRu h
Exp. da a
one channel
4b-CDCC
FIGURE 1. (Colo online) Elas ic di e en ial c oss sec ion ( a io o Ru he o d) in he cen e o mass
ame o he 6He+64Zn eac ion a 13.6 MeV. The expe imen al da a a e aken om Re . [2].
and nuclea po en ials a e included. The nuclea in e ac ions wi h he a ge used op ical
po en ials. The n+64Zn and
α
+64Zn po en ials we e aken om Re s. [6] and [2],
espec i ely. The maximum 6He exci a ion ene gy needed was 8 MeV. The coupled
equa ions desc ibing he p ojec ile- a ge mo ion a e sol ed wi h he code FRESCO [7],
he coupling o m ac o s being ead om ex e nal iles. The coupled equa ions we e
sol ed o pa ial wa es up o J=75 and we e ma ched o hei asymp o ic o ms a
ma ching adius Rm=200 m. The numbe o eigenchannels (EC) o he S-ma ix used
was nec =4 and he numbe o ene gy bins used o each j
π
was 4 (0+and 2+) and 7
(1−). So, he o al numbe o s a es included in he CDCC calcula ion is N=61.
In Fig. 1 we show he elas ic di e en ial c oss sec ion ( a io o Ru he o d) in he
cen e o mass ame o his eac ion. The dashed line is he one channel calcula ion
(including only he g ound s a e). The solid line is he ull CDCC calcula ion. F om
he igu e i is e iden he ele ance o he inclusion o he con inuum in hese kind o
calcula ions. Also ema kable is he as con e gence o he calcula ion.
ACKNOWLEDGMENTS
This wo k was suppo ed by he DGICYT unde P ojec s FIS 2008-04189, FPA 2006-
13807-C02-01, and consolide CPAN, by he U.S. Depa men o Ene gy by LLNL un-
de Con ac DE-AC52-07NA27344, and by he U.K. STFC unde G an EP/D003628.
REFERENCES
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2. A. Di Pie o e al., Phys. Re . C 69, 044613 (2004).
3. N. Aus e n e al.,Phys. Rep. 154, 125 (1987).
4. T. Ma sumo o e al.,Phys. Re . C 73, 051602 (2006).
5. M. Rod íguez-Galla do e al.,Phys. Re . C 77, 064609 (2008).
6. A. J. Koning, and J. P. Dela oche, Nucl. Phys. A713, 231 (2003).
7. I. J. Thompson, Comp. Phys. Rep. 7, 167 (1988).
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