PHYSICAL REVIEW C 71, 044610 (2005)
Multinucleon transfer processes in
40
Ca+
208
Pb
S. Szilner,
1,5
L. Corradi,
1
G. Pollarolo,
2
S. Beghini,
3
B. R. Behera,
1
E. Fioretto,
1
A. Gadea,
1
F. Haas,
4
A. Latina,
1
G. Montagnoli,
3
F. Scarlassara,
3
A. M. Stefanini,
1
M. Trotta,
1,∗
A. M. Vinodkumar,
1
and Y. Wu
1
1
Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Legnaro, I-35020 Legnaro, Italy
2
Dipartimento di Fisica Teorica, Universit` a di Torino, and Istituto Nazionale di Fisica Nucleare, I-10125 Torino, Italy
3
Dipartimento di Fisica, Universit` a di Padova, and Istituto Nazionale di Fisica Nucleare, I-35131 Padova, Italy
4
Institut de Recherches Subatomiques, CNRS-IN2P3/ULP et Universit´ e Louis Pasteur, F-67037 Strasbourg, France
5
Ru
−
d er Boskovi´ c Institute, HR-10 002 Zagreb, Croatia
(Received 30 December 2004; published 28 April 2005)
Multinucleon transfer reactions in
40
Ca+
208
Pb have been studied at bombarding energies close to the Coulomb
barrier. Projectilelike fragments have been identified in nuclear mass and charge with a time-of-flight spectrometer.
Angular and total kinetic energy loss distributions and inclusive cross sections have been compared with those
of semiclassical models. The analysis shows that a successive transfer mechanism of single nucleons does not
account for the data, and a direct nucleon pair transfer has to be included in the description. Nucleon evaporation
effects are taken into account.
DOI: 10.1103/PhysRevC.71.044610 PACS number(s): 25.70.Hi, 24.10.−i, 25.70.Bc
I. INTRODUCTION
Nuclear reactions where few quanta—energy, angular
momentum, and number of nucleons—are exchanged between
projectile and target, provide an important tool to study the
properties of nuclei close to their ground states. Among
the different kinds of quasielastic reactions, the exchange of
nucleons is peculiar because such reactions provide specific
information on single-particle levels and correlations. The
extensive experimental work with light-ion reactions, for
example, gave considerable inputs to the pairing model. With
heavy ions, these studies can be further extended. The two
colliding partners can exchange a large number of nucleons,
thus enabling to probe the pair density in the nuclear medium,
that is, to probe the ability of two nucleons to form pairs of
zero angular momentum [1]. From the reaction mechanism
point of view, the study of multinucleon transfer reactions
provides an insight about which degrees of freedom have to
be included in any model to describe the evolution of the
heavy-ion reaction from the quasielastic to the deep inelastic
regimes and to fusion.
Extensive work on multinucleon transfer have been carried
out during past years [2,3]. These studies allowed to extract
the radial dependence of the average transfer form factors
for the different channels. Enhancement factors have been
introduced to explain the deviation from the naive picture that
in an uncorrelated medium the probability for the transfer of
two nucleons is simply given by the product of the probability
for the transfer of a single nucleon. In recent studies [4,5]
a complete identification of the final reaction products has
been achieved up to six neutron and proton transfer channels.
The comparison between data and calculations, based on
semiclassical models [6–9], allowed to identify the different
degrees of freedom that influence the evolution of the reaction,
such as deformation, single, and pair transfer modes.
∗
Present address: INFN-Sezione di Napoli, 1-80126, Napoli, Italy.
Closed-shell nuclei constitute an almost ideal case for
a quantitative comparison with calculations. Therefore, we
have studied multinucleon transfer processes for the system
40
Ca+
208
Pb at energies close to the Coulomb barrier. The
differential and total cross sections and the total kinetic energy
loss are reported and compared with semiclassical models. The
results of pure neutron transfer channels were presented in a
recent publication [10]. In this article we discuss the results
for all multinucleon transfer channels.
II. EXPERIMENT AND EXPERIMENTAL RESULTS
The experiment was performed using the Tandem+ALPI
accelerator complex of the Laboratori Nazionali di Legnaro.
A
40
Ca beam was accelerated onto a
208
Pb target (200 µg/cm
2
,
sandwiched between carbon foils) at incident energies of 235
and 249 MeV, which correspond to 5 and 15%, respectively
above the nominal Coulomb barrier. Projectilelike fragments
were detected with the time-of-flight spectrometer PISOLO
[11], which combines a large solid angle (≃ 3 msr) and a
good mass and a charge resolution (A/A ≃ 1/100 and
Z/Z ≃ 1/60). Time-of-flight signals were derived from two
microchannel plate detectors, whereas a multianode transverse
field ionization chamber was used for nuclear charge and en-
ergy determination [5,11]. Absolute normalization of the cross
sections was ensured by four silicon monitors detecting elas-
tically scattered
40
Ca ions. To cover most of the transfer flux
the measurements have been performed in the angular range
42
◦
<θ
lab
< 115
◦
for the lower energy (E
lab
= 235 MeV)
and 42
◦
<θ
lab
< 100
◦
for the higher bombarding energy
(E
lab
= 249 MeV).
Examples of A-Z and E-E two-dimensional spectra
obtained at E
lab
= 235 MeV at the grazing angle are displayed
in Fig. 1. A clear identification of the nuclear charge and mass
of projectilelike fragments is obtained. In the right panel, the
dashed lines correspond to the pure neutron pickup (N ) and
the pure proton stripping (Z) and the full line represents the
0556-2813/2005/71(4)/044610(8)/$23.00 044610-1 ©2005 The American Physical Society