Initial State Interaction for the ²⁰Ne + ¹³⁰Te and ¹⁸O + ¹¹⁶Sn Systems at 15.3 AMeV from Elastic and Inelastic Scattering Measurements

• Main Authors: Diana Carbone, Roberto Linares, Paulina Amador-Valenzuela, Salvatore Calabrese, Francesco Cappuzzello, Manuela Cavallaro, Suna Firat, Maria Fisichella, Alessandro Spatafora, Luis Acosta, Clementina Agodi, Ismail Boztosun, Giuseppe A. Brischetto, Daniela Calvo, Efrain R. Chávez Lomelí, Irene Ciraldo, Mauro Cutuli, Franck Delaunay, Nikit Deshmukh, Paolo Finocchiaro, Antonino Foti, Aylin Hacisalihoglu, Felice Iazzi, Laura La Fauci, Gaetano Lanzalone, Nilberto H. Medina, Djalma Mendes, José R. B. Oliveira, Athina Pakou, Luciano Pandola, Horia Petrascu, Federico Pinna, Giuseppe Russo, Onoufrios Sgouros, Selçuk O. Solakci, Vasilis Soukeras, George Souliotis, Domenico Torresi, Salvatore Tudisco, Aydin Yildirim, Vinicius A. B. Zagatto
• Format: Article
• Language: English
• Published: MDPI AG 2021-03-01
• Series: Universe
• Subjects: initial state interaction; elastic and inelastic scattering; MAGNEX magnetic spectrometer; coupled-channel calculations; optical potential; double charge exchange reactions
• Online Access: https://www.mdpi.com/2218-1997/7/3/58

Double charge exchange (DCE) reactions could provide experimentally driven information about nuclear matrix elements of interest in the context of neutrinoless double-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula> decay. To achieve this goal, a detailed description of the reaction mechanism is mandatory. This requires the full characterization of the initial and final-state interactions, which are poorly known for many of the projectile-target systems involved in future DCE studies. Among these, we intend to study the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>20</mn></msup></semantics></math></inline-formula>Ne + <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>130</mn></msup></semantics></math></inline-formula>Te and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>18</mn></msup></semantics></math></inline-formula>O + <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>116</mn></msup></semantics></math></inline-formula>Sn systems at 15.3 AMeV, which are particularly relevant due to their connection with the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>130</mn></msup></semantics></math></inline-formula>Te<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mo>→</mo><mn>130</mn></msup></semantics></math></inline-formula>Xe and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>116</mn></msup></semantics></math></inline-formula>Cd<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mo>→</mo><mn>116</mn></msup></semantics></math></inline-formula>Sn double-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula> decays. We measure the elastic and inelastic scattering cross-section angular distributions and compare them with theoretical calculations performed in the optical model, one-step distorted wave Born approximation, and coupled-channel approaches using the São Paulo double-folding optical potential. A good description of the experimental data in the whole explored range of transferred momenta is obtained provided that couplings with the 2<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mrow></mrow><mn>1</mn><mo>+</mo></msubsup></semantics></math></inline-formula> states of the projectile and target are explicitly included within the coupled-channel approach. These results are relevant also in the analysis of other quasi-elastic reaction channels in these systems, in which the same couplings should be included.