Index
A
ABC theorem, 292
Airy functions, 30
Analytic continuation of Coulomb wave
functions, 26
Angular momentum projection, 406
Antibound state, 38–40, 60, 62, 103, 110, 123,
156, 344
Antisymmetrization, 199
Argonne υ 18 interaction, 365, 371
Astrophysical factor, 333, 466
Asymptotic forms of Coulomb wave functions,
28
Asymptotic normalization coefficient, 326,
331, 333, 335, 339, 381, 470, 471
Auxiliary potential method, 389
B
Bayesian inference, 367
Bayesian inference of parameters, 231
BCS approximation, 283
BCS gap, 283
Berggren basis, 7, 20, 115, 152, 185, 203, 257,
375, 413, 426, 458
Berggren basis diagonalization, 174
Berggren completeness relation, 7, 82, 91, 103,
104, 106, 107, 112, 191, 205, 269
Berggren completeness with antibound states,
123
Berggren ensemble, 5, 160, 173, 333
Berggren expansion, 105, 154, 160, 163, 267,
269
Berggren norm, 187
Beta-stability line, 3
Biorthogonal basis, 190
Bisection method, 65
Born-Oppenheimer approximation, 173
Borromean halo, 330, 344
Borromean nucleus, 318
Bound states, 6, 42, 55, 62, 103, 195, 423, 471
Bound state solutions of coupled-channel
equations, 456
Bra-ket formalism, 186
Break-up cross section, 425
C
Canonical pairing gap, 283
Capturing resonance, 60, 103
Cauchy integral, 63
Cauchy theorem, 63, 88, 93, 185
CD Bonn interaction, 365
Center-of-mass coordinates, 21, 202, 421, 443
Center-of-mass excitations, 372
Center-of-mass frame, 417
Center-of-mass Hamiltonian, 149
Center-of-mass states in Berggren basis, 427,
471
Centrifugal barrier, 77
Channel basis, 405
Channel basis Berggren representation, 407
Channel-coupling potential, 410
Channel wave function, 163
Chiral effective field theory, 151, 366
Chiral interaction, 365, 371
Clebsch–Gordan coefficients, 406, 424, 436
Closed quantum system, 3, 6, 402
Cluster orbital shell model, 195, 197, 202, 409,
417
Cluster orbital shell model coordinates, 195,
196, 199, 267, 271, 405, 421, 427,
472
Cluster states, 423
Completeness for complex potentials, 107
Complex-energy scattering states, 7, 103, 163
Complex-momentum wave function, 48, 54
Complex potential, 65, 106
© Springer International Publishing AG 2021
N. Michel, M. Płoszajczak, Gamow Shell Model, Lecture Notes in Physics 983,
https://doi.org/10.1007/978-3-030-69356-5
499
A
ABC theorem, 292
Airy functions, 30
Analytic continuation of Coulomb wave
functions, 26
Angular momentum projection, 406
Antibound state, 38–40, 60, 62, 103, 110, 123,
156, 344
Antisymmetrization, 199
Argonne υ 18 interaction, 365, 371
Astrophysical factor, 333, 466
Asymptotic forms of Coulomb wave functions,
28
Asymptotic normalization coefficient, 326,
331, 333, 335, 339, 381, 470, 471
Auxiliary potential method, 389
B
Bayesian inference, 367
Bayesian inference of parameters, 231
BCS approximation, 283
BCS gap, 283
Berggren basis, 7, 20, 115, 152, 185, 203, 257,
375, 413, 426, 458
Berggren basis diagonalization, 174
Berggren completeness relation, 7, 82, 91, 103,
104, 106, 107, 112, 191, 205, 269
Berggren completeness with antibound states,
123
Berggren ensemble, 5, 160, 173, 333
Berggren expansion, 105, 154, 160, 163, 267,
269
Berggren norm, 187
Beta-stability line, 3
Biorthogonal basis, 190
Bisection method, 65
Born-Oppenheimer approximation, 173
Borromean halo, 330, 344
Borromean nucleus, 318
Bound states, 6, 42, 55, 62, 103, 195, 423, 471
Bound state solutions of coupled-channel
equations, 456
Bra-ket formalism, 186
Break-up cross section, 425
C
Canonical pairing gap, 283
Capturing resonance, 60, 103
Cauchy integral, 63
Cauchy theorem, 63, 88, 93, 185
CD Bonn interaction, 365
Center-of-mass coordinates, 21, 202, 421, 443
Center-of-mass excitations, 372
Center-of-mass frame, 417
Center-of-mass Hamiltonian, 149
Center-of-mass states in Berggren basis, 427,
471
Centrifugal barrier, 77
Channel basis, 405
Channel basis Berggren representation, 407
Channel-coupling potential, 410
Channel wave function, 163
Chiral effective field theory, 151, 366
Chiral interaction, 365, 371
Clebsch–Gordan coefficients, 406, 424, 436
Closed quantum system, 3, 6, 402
Cluster orbital shell model, 195, 197, 202, 409,
417
Cluster orbital shell model coordinates, 195,
196, 199, 267, 271, 405, 421, 427,
472
Cluster states, 423
Completeness for complex potentials, 107
Complex-energy scattering states, 7, 103, 163
Complex-momentum wave function, 48, 54
Complex potential, 65, 106
© Springer International Publishing AG 2021
N. Michel, M. Płoszajczak, Gamow Shell Model, Lecture Notes in Physics 983,
https://doi.org/10.1007/978-3-030-69356-5
499