Scattering of nucleons by 12C and the structures of 13N and 13C

Mikoshiba, O.; Terasawa, T.; Tanifuji, M.

doi:10.1016/0375-9474(71)90803-7

Cited by 47 publications

(11 citation statements)

References 36 publications

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“…However, the difference is completely negligible in the high-energy scattering studied in the present paper. 2 A minor difference of the potentials shown in Fig. 1 in the present the energy evolution, the real part of the folding potential in the elastic channel changes its sign between E/A = 200 and 300 MeV, which was already reported in the previous work [30] and referred to as the the attractive to repulsive transition.…”

Section: Resultsmentioning

confidence: 70%

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Channel coupling effect and important role of imaginary part of coupling potential for high-energy heavy-ion scatterings

Furumoto

Sakuragi

2013

Phys. Rev. C

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The recent works by the present authors and their collaborator predicted that the real part of heavy-ion optical potentials changes its character from attraction to repulsion around the incident energy per nucleon E/A = 200 -300 MeV on the basis of the complex G-matrix interaction and the double-folding model (DFM) and revealed that the three-body force plays an important role there. In the present paper, we have analyzed the energy dependence of the coupling effect with the microscopic coupled channel (MCC) method and its relation to the elastic and inelastic-scattering angular distributions in detail in the case of the 12 C + 12 C system in the energy range of E/A = 100 -400 MeV. The large channel coupling effect is clearly seen in the elastic cross section although the incident energies are enough high. The dynamical polarization potential (DPP) is derived to investigate the channel coupling effect. Moreover, we analyze the effect of the imaginary part of the coupling potential on elastic and inelastic cross sections.

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Section: Resultsmentioning

confidence: 70%

“…The strengths of the coupling potentials are determined so as to reproduce the known electric transition rates such as the B(Eλ) values, if available. Otherwise, they are treated as the free parameters that are chosen so that the CC calculation reproduces the experimental data of the elastic and inelastic scattering [2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Channel coupling effect and important role of imaginary part of coupling potential for high-energy heavy-ion scatterings

Furumoto

Sakuragi

2013

Phys. Rev. C

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“…, Refs. [7,8]. We shall use a similar parametrization since it provides a more realistic description of weakly bound orbitals; this was clearly demonstrated in the study of the strong dipole transitions in [9].…”

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confidence: 99%

Positive parity states inBe11

1995

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The low-lying positive parity states of Be are calculated in a coupled channels treatment of a valence neutron interacting with a deformed core. The loosely bound nature of the valence neutron is taken into account by using a Woods-Saxon potential. Comparisons are made to shell-model predictions and to data. The model reproduces the measured spectrum quite well for realistic parameters of the neutron-core interaction. PACS number(s): 21.10.k, 27.20.+n I. INTR.ODUCTION The development in radioactive beam experiments has made it possible to study the properties of nuclei far from stability. An example is Be which has already been studied in several fragmentation experiments [1 -3] and more detailed Ineasurements of the two-body breakup Be~Be+n have recently been performed [4]. The analyses commonly employ a simple 8 wave for the valence neutron in its ground state, and we shall in particular investigate the validity of this approximation. The nucleusBe is of particular theoretical interest because of the parity inversion near the ground state, i.e. , the ground state is a 1/2+ state, and not a 1/2 state as one naively would expect from a spherical shell-model.We have recently discussed this parity inversion [5] on the basis of shell-model wave functions and pointed out three competitive efFects, viz. the quadrupole excitation of the core, the Pauli blocking of the pairing correlations, and the narrowing of the shell gap due to the protonneutron monopole interaction. Thus we found that the 1/2+ ground has a large overlap with the 0+ ground state of the Be core coupled to an Sqy2 single-particle state.A loosely bound s~y2 state has a large root mean square (rms) radius and a large dipole strength at low excitation energies, and both of these two features are clearly needed in order to explain the recent fragmentation measurements [1 -4].In the present study we focus on a realistic description of positive parity states in Be. Our approach is to solve coupled equations for a neutron interacting with a deformed. core, including the efFect of the quadrupole excitation of the core. This approach, also known as the weak coupling limit of the particle-rotor model, has previously been applied by many authors, for example to A = 13 nuclei. An early application [6] made use of harmonic oscillator wave functions. It was found that this approach provides a reasonable picture of A = 13 nuclei, whereas the strong coupling limit, implied by the Nilsson model, contradicts measurements. Later applications made use of a Wood-Saxon plus spin-orbit single-particle Hamiltonian, see, e.g. , Refs. [7,8]. We shall use a similar parametrization since it provides a more realistic description of weakly bound orbitals; this was clearly demonstrated in the study of the strong dipole transitions in [9]. The main purpose of our study is to see how well one can predict the positive parity spectrum of Be from the knowledge of the structure of the Be core. The lowlying negative parity states, on the other hand, have a complicated structure because ...

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“…Moreover, Lawson and Kurath have also pointed out long ago [15] that the same is not true for the normal-parity states: "The reason is that the single-nucleon function which is added to the 12 C core has strong components in common with some of the functions within the core." Thus, because of the violation of the Pauli Principle (PP) the particle-core weak-coupling models have been mostly limited to the study the positive parity spectrum of 13 C [7,[15][16][17]. Although important efforts have been invested to incorporate the PP into the core-particle models [5,6,18], the shell-model was so far the only plausible alternative to deal with the negative parity states in odd-mass carbon and 11 Be nuclei [19,20].…”

Section: Introductionmentioning

confidence: 99%

Pairing correlations in odd-mass carbon isotopes and effect of Pauli principle in particle–core coupling in 13C and 11Be

et al. 2007

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We present an exploratory study of structure of 13 C, 15 C, 17 C and 19 C, showing that the simple one-quasiparticle projected BCS (PBCS) model is capable to account for several important properties of these nuclei. Next we discuss the importance of the Pauli Principle in the particle-core models of normal-parity states in 13 C and 11 Be. This is done by considering the pairing interaction between nucleons moving in an over-all deformed potential. To assess the importance of pairing correlations in these light nuclei we use both the simple BCS and the PBCS approximations. We show that the Pauli Principle plays a crucial role in the parity inversion in 11 Be. It is also found that the effect of the particle number conservation in relatively light and/or exotic nuclei is quite significant. Comparison of our results with several recent papers on the same subject, as well as with some experimental data, is presented.

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Scattering of nucleons by 12C and the structures of 13N and 13C

Cited by 47 publications

References 36 publications

Channel coupling effect and important role of imaginary part of coupling potential for high-energy heavy-ion scatterings

Channel coupling effect and important role of imaginary part of coupling potential for high-energy heavy-ion scatterings

Positive parity states inBe11

Pairing correlations in odd-mass carbon isotopes and effect of Pauli principle in particle–core coupling in 13C and 11Be

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