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<p>We investigate the backward-angle oscillations in elastic <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(^{16}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>16</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>O+<InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(^{12}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>12</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>C scattering at <InlineEquation ID="IEq13"> <EquationSource Format="TEX">\(E_\textrm{lab}=100\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>E</mi> <mtext>lab</mtext> </msub> <mo>=</mo> <mn>100</mn> </mrow> </math></EquationSource> </InlineEquation>&#xa0;MeV by contrasting a minimal two-channel CRC model (true elastic <InlineEquation ID="IEq14"> <EquationSource Format="TEX">\(\oplus \)</EquationSource> <EquationSource Format="MATHML"><math> <mo>⊕</mo> </math></EquationSource> </InlineEquation> elastic <InlineEquation ID="IEq15"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation> transfer) with a single-channel optical model augmented by a parity-dependent (Majorana) term. Using a joint near/far (NF) and barrier/internal (BI) decomposition together with Fourier-transform-based imaging of the decomposed amplitudes, we show how the <InlineEquation ID="IEq16"> <EquationSource Format="TEX">\(\theta \leftrightarrow \pi -\theta \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>θ</mi> <mo stretchy="false">↔</mo> <mi>π</mi> <mo>-</mo> <mi>θ</mi> </mrow> </math></EquationSource> </InlineEquation> mixing from elastic transfer maps onto a parity-dependent elastic <InlineEquation ID="IEq17"> <EquationSource Format="TEX">\(S_L\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>S</mi> <mi>L</mi> </msub> </math></EquationSource> </InlineEquation> and yields the backward pattern. A fixed-geometry Wigner baseline reproduces the data at forward and medium angles; the remaining backward strength is recovered either by a compact surface-peaked Majorana term in one channel or by a baseline-dependent effective elastic-transfer normalization <InlineEquation ID="IEq18"> <EquationSource Format="TEX">\(S_\alpha \)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>S</mi> <mi>α</mi> </msub> </math></EquationSource> </InlineEquation> in CRC, both enhancing the same internal–farside (I–F) branch at large angles.</p>

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Elastic \(^{16}\)O+\(^{12}\)C Scattering at \(E_\textrm{lab}=100\) MeV: Elastic \(\alpha \) Transfer, Parity Dependence (Majorana), and NF/BI Imaging

  • 期刊论文

  • 发表日期：

    2026年2月28日

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  • Kyoungsu Heo,
  • Myung-Ki Cheoun,
  • K. Hagino

摘要

We investigate the backward-angle oscillations in elastic \(^{16}\) 16 O+ \(^{12}\) 12 C scattering at \(E_\textrm{lab}=100\) E lab = 100  MeV by contrasting a minimal two-channel CRC model (true elastic \(\oplus \) ⊕ elastic \(\alpha \) α transfer) with a single-channel optical model augmented by a parity-dependent (Majorana) term. Using a joint near/far (NF) and barrier/internal (BI) decomposition together with Fourier-transform-based imaging of the decomposed amplitudes, we show how the \(\theta \leftrightarrow \pi -\theta \) θ ↔ π - θ mixing from elastic transfer maps onto a parity-dependent elastic \(S_L\) S L and yields the backward pattern. A fixed-geometry Wigner baseline reproduces the data at forward and medium angles; the remaining backward strength is recovered either by a compact surface-peaked Majorana term in one channel or by a baseline-dependent effective elastic-transfer normalization \(S_\alpha \) S α in CRC, both enhancing the same internal–farside (I–F) branch at large angles.