CROSS-SECTIONS FOR THE SOLAR NEUTRINOS CAPTURE AND CHARGE-EXCHANGE RESONANCES Grigory Koroteev MIPT Email: koroteev@phystech.edu Phone: +79252279046 Contact 1. Yu. V. Gaponov, Yu. S. Lyutostanskii, JETP Lett. 15, 120 (1972). 2. J. N. Bahcall, A. M. Serenelli, and S. Basu, Astrophys. J. Lett. 621, L85 (2005) 3. N. Borzov, S. A. Fayans, E. L. Trykov. Nucl. Phys. A 584, p. 335 (1995). 4. Yu. S. Lutostansky JETP Lett. 106, 7 (2017). 5. A.A. Borovoi, Yu.S. Lutostansky, I.V. Panov, et. al., Pis’ma Zh.Eksp.Teor.Fiz. 45 №11, 521-523 6. Krofcheck D., et al. Phys. Rev. Lett. 1985. V.55. P. 1051; 7. Yu.S. Lutostansky, N.B. Shulgina. Phys. Rev. Lett., 1991, v. 67 8. Yu. Lutostansky. Physics of Atomic Nuclei, 2011, Vol. 74, No. 8, pp. 1176–1188 9. M. Palarczyk, et. al., Phis. Rev. 59 10. J. Rapaport, P. Welch, J. Bahcall, et al. Phys. Rev. Lett. 54, 2325 (1985) References Investigation of charge-exchange resonances is important for calculating neutrino capturing cross- sections σ(E) of nuclei that can be used in neutrino detectors. Analog resonance, Gamow-Teller resonance (GTR) and three pigmy resonances are selected. Calculations were performed using the self-consistent theory of finite Fermi systems for Ga-71, Mo-98 and I-127. Even not accounting GTR gives a decrease of the σ(E) value more than 25%. Numbers of events in the interaction of solar neutrinos with these three nuclei calculated. It is shown that boron neutrinos make the main contribution and it is important to take into account all resonances. Abstract Nuclear Resonances Theory - The are 3 types of the charge-exchange allowed resonances: Gamow–Teller and the analog resonances, and pygmy resonances. - They can be good described using microscopic theory and in model approximation. - The calculated values of the energies of Gamow–Teller and analog resonances, are in good agreement with their experimental data. - Pygmy resonances may be described using the same approach as for Gamow–Teller and analog resonances. - The role of pygmy resonances is very important in the charge-exchange reactions and in neutrino capturing and beta-delayed process. Conclusions Neutral ( ΔQ = 0 ) and charge ( ΔQ = 1 ) excitation branches of nuclei. Gamow–Teller resonance (GTR), analog resonance (AR), and three pygmy resonances (PR1, PR2, PR3) are indicated for the A(N-1,Z+1) nucleus. [1]    Q E e e e A dE E Z F E S E p c g E      0 4 3 . 2 ) , ( ) ( ) (  M2GTR ≈ 3 (N-Z) eq2 M2IAS ≈(N-Z) where Vpn and Vpn h are the effective fields of quasi- particles and holes, respectively; Vpn ω is an external charge-exchange field; dpn 1 and dpn 2 are effective vertex functions that describe change of the pairing gap Δ in an external field; Γω and Γξ are the amplitudes of the effective nucleon–nucleon interaction in, the particle–hole and the particle–particle channel; ρ, ρh, φ1 and φ2 are the corresponding transition densities. [3] Local nucleon–nucleon δ-interaction Γω in the Landau-Migdal form used: Г= С0 (f0′ + g0′ σ1σ2) τ1τ2 δ(r1- r2) where coupling constants of: f0′=1.35 – isospin- isospin and g0′=1.22 – spin-isospin quasi-particle interaction with L = 0. [4] Constants f0′ and g0′ are the phenomenological parameters.          n p n p p n np, pn q pn Г V e V    The Gamow–Teller resonances and other charge- exchange excitations of nuclei are described in Migdal TFFS-theory by the system of equations for the effective field:         n p h n p p n np, h pn Г V           n p n p p n np, pn Г d 1 1           n p n p p n np, pn Г d 2 2   Matrix elements MGT : where χλν – mathematical deductions           2 1 2 1 2 1 2 1 2 V A M GT   G -T values are normalized in FFST:    i q i Z N e M ) ( 3 2 2 Effective quasiparticle charge is the “quenching” parameter of the theory. 0.1 8.0 2   qe Yury Lutostansky1, Alexey Osipenko1, Victor Tikhonov1, Almaz Fazliakhmetov2,3, Grigory Koroteev2, Andrey Vyborov2,3 1National Research center ”Kurchatov Institute”, Russi