The nuclear force and the renormalization group

• Grant number: 11/18211-2
• Support Opportunities: Regular Research Grants
• Start date: December 01, 2011
• End date: May 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Physics - Nuclear Physics
• Principal Investigator: Varese Salvador Timoteo
• Grantee: Varese Salvador Timoteo
• Host Institution: Faculdade de Tecnologia (FT). Universidade Estadual de Campinas (UNICAMP). Limeira , SP, Brazil
• Associated researchers: Sérgio Szpigel

Abstract

The aim of his project is to study the nuclear force from the point of view of renormalization groups. We will use momentum space chiral potentils, in the cutoff and multiple subractions renormalization schemes. This study also includes the solution of the corresponding non-relativistic Callan-Symanzik renormalization group flow equations. We will also study the evolution of he NN interaction with the similarity renormlization group through the numerical solution of the Wegner flow equations for the NN potentials, investigate whether the obtained effective interactions exhibits long distance symmetries and if there is a similarity cutoff for which the Wigner symmetry is realized more exactly in the NN system. (AU)

Scientific publications

(7)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

RUIZ ARRIOLA, E.; SZPIGEL, S.; TIMOTEO, V. S.. Implicit vs explicit renormalization and effective interactions. Physics Letters B, v. 728, p. 596-601, JAN 20 2014. (11/18211-2)

RUIZ ARRIOLA, E.; SZPIGEL, S.; TIMOTEO, V. S.. The infrared limit of the SRG evolution and Levinson's theorem. Physics Letters B, v. 735, p. 149-156, JUL 30 2014. (14/04975-9, 11/18211-2)

BATISTA, E. F.; SZPIGEL, S.; TIMOTEO, V. S.; TABACNIKS, MH; DEOLIVEIRA, JRB; HIGA, R; SHORTO, JMB. Peripheral NN scattering from subtractive renormalization of chiral interactions. XXXVI BRAZILIAN WORKSHOP ON NUCLEAR PHYSICS, v. 1625, p. 4-pg., 2014-01-01. (11/18211-2)

RUIZ ARRIOLA, E.; SZPIGEL, S.; TIMOTEO, V. S.. Fixed Points of the Similarity Renormalization Group and the Nuclear Many-Body Problem. FEW-BODY SYSTEMS, v. 55, n. 8-10, p. 971-975, AUG 2014. (11/18211-2, 10/50646-6)

RUIZ ARRIOLA, E.; SZPIGEL, S.; TIMOTEO, V. S.. Implicit Versus Explicit Renormalization of the NN Force: An S-Wave Toy Model. FEW-BODY SYSTEMS, v. 55, n. 8-10, p. 989-992, AUG 2014. (11/18211-2)

TIMOTEO, V. S.; SZPIGEL, S.; RUIZ ARRIOLA, E.. Symmetries of the similarity renormalization group for nuclear forces. Physical Review C, v. 86, n. 3, SEP 14 2012. (11/18211-2, 10/50646-6)

SZPIGEL, S.; TIMOTEO, V. S.; ARRIOLA, E. R.; GONCALVES, VP; DASILVA, MLL; AMARAL, JTD; MACHADO, MVT. Long Distance Symmetries for Nuclear Forces and the Similarity Renormalization Group. XII HADRON PHYSICS, v. 1520, p. 3-pg., 2013-01-01. (10/50646-6, 11/18211-2)