Gamow-Teller 1+ states in 112–124Sb isotopes

Abstract

The violated supersymmetry property of the pairing interaction between nucleons were restored using the Pyatov method [Pyatov and Salamov, Nucleonica 22, 127 (1977)]. The eigenvalues and eigenfunctions of the restored Hamiltonian with the separable residual Gamow-Teller effective interactions in the particle-hole and particle-particle channels were solved within the framework of proton-neutron quasirandom phase approximation (pnQRPA). The Gamow-Teller resonance energies for 112−124 Sb isotopes and the differential cross-sections for Sn( 3 He, t)Sb reactions at E( 3 He) = 200 MeV occurring by the excitation of the Gamow-Teller resonance state were calculated. The calculated values were compared with other calculations and the corresponding experimental data.

Investigation of isospin forbidden 0+ → 0+ Fermi beta decays with Pyatov method

“…(21) and Eq. (22). As seen in the Table 1, the matrix elements values with pairing interactions are smaller than without pairing ones.…”

“…Pyatov method was used in several studies [14][15][16][17][18][19][20][21][22][23]. In our previous studies, the Cabbibo-Kobayashi-Maskawa (CKM) matrix unitarity [24,25], the values of superallowed fermi beta decays [26] and isospin admixtures and isospin structure of isobar analog resonance states of superallowed beta decays [27] were investigated without and with pairing interactions, by using this method.…”

Spin-isospin transitions in chromium isotopes within the quasiparticle random phase approximation

“…where H SQP is the Single Quasi Particle (SQP) Hamiltonian, h ph and h pp are the GT effective interactions in the ph and pp channels, respectively (Cakmak et al, 2010). The effective interaction constants in the ph and pp channel were fixed from the experimental value of the Gamow-Teller resonance (GTR) energy and the β -decay log(ft) values between the low energy states of the parent and daughter nucleus, respectively.…”

Gamow–Teller strength in 56 Fe nucleus at finite temperatures

“…Spin-isospin excitations in nuclei are known as one of the most important excitation modes in nuclei, not only for nuclear physics but also for nuclear astrophysics [1][2][3]. Among the spin-isospin excitations, the Gamow-Teller (GT) resonances ( ∆L = 0, J π = 1 + ) are the most widely known, both experimentally [4,5] and theoretically [6][7][8][9][10][11][12][13][14]. Apart from their importance to understand the structure of nuclei and nuclear interaction, it is also known that the GT resonances play a dominant role in the calculation of nuclear weak interactions processes like beta decay, electron capture, and charged-current neutrino-nucleus reactions [15][16][17][18][19].…”

“…Proton-neutron random phase approximation (PNRPA) is known as an efficient and reliable tool in the description of the collective excitations in nuclei (e.g., GT transitions) [6][7][8][9][10][11][12]. Recently, the effect of temperature on GT + strength and electron capture was investigated at zero and finite temperatures using the relativistic [20] and nonrelativistic [21,22] functionals.…”